CN107193121A - eyepiece optical system - Google Patents
eyepiece optical system Download PDFInfo
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- CN107193121A CN107193121A CN201710121215.2A CN201710121215A CN107193121A CN 107193121 A CN107193121 A CN 107193121A CN 201710121215 A CN201710121215 A CN 201710121215A CN 107193121 A CN107193121 A CN 107193121A
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- lens
- optical axis
- optical system
- eyepiece optical
- eyepiece
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B25/00—Eyepieces; Magnifying glasses
- G02B25/001—Eyepieces
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- General Physics & Mathematics (AREA)
- Optics & Photonics (AREA)
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Abstract
The invention discloses a kind of eyepiece optical system, enter the eye imaging of observer through eyepiece optical system from display picture for being imaged light.It is mesh side towards the direction of eyes, is display side towards the direction of display picture.Eyepiece optical system sequentially includes one first lens, one second lens and one the 3rd lens from mesh side to display side along an optical axis, and the first lens, the second lens and the 3rd lens each include mesh side and a display side.Second lens have positive refractive index, and the display side of the second lens has a concave part for being located at optical axis near zone.
Description
Technical field
The present invention relates to field of optical systems, more particularly to a kind of eyepiece optical system.
Background technology
Virtual reality (Virtual Reality, VR) is that the void for producing a three dimensions is emulated using computer technology
Intend the world to emulate on sense organs such as vision, the sense of hearings there is provided user, allow user to feel to be personally on the scene.Current existing VR devices
All it is based on visual experience.Regarding for human eye is simulated by the slightly discrepant divided frame in two visual angles of correspondence right and left eyes
Difference, to reach stereoscopic vision.In order to reduce the volume of virtual reality device, user is allowed to be amplified by less display picture
Visual experience, one of theme of the eyepiece optical system with enlarging function into VR research and developments.
It is smaller that half of existing eyepiece optical system regards visual angle, allows observer to feel that vision is narrow, resolution ratio is low and picture
It is poor serious first to carry out aberration compensation to display picture, therefore how to increase by half depending on visual angle and to strengthen image quality be eyepiece light
System be one need improvement the problem of.
The content of the invention
The present invention provides a kind of eyepiece optical system, and it remains to possess good light under conditions of system length is shortened
Learn image quality and regard visual angle with big half.
Embodiments of the invention propose a kind of eyepiece optical system, for being imaged light from display picture through eyepiece opticses system
System enters the eye imaging of observer.It is mesh side towards the direction of eyes, is display side towards the direction of display picture.Eyepiece light
System sequentially includes one first lens, one second lens and one the 3rd lens, and first from mesh side to display side along an optical axis
Lens, the second lens and the 3rd lens each include mesh side and a display side.
In one embodiment of this invention, the first lens have refractive index.Second lens have a positive refractive index, and second saturating
The display side of mirror has a concave part for being located at optical axis near zone.3rd lens mesh side with display side at least its
One of to be aspherical.
In one embodiment of this invention, the first lens have refractive index.The mesh side of second lens has one to be located at light
The convex surface part of axle near zone.The display side of second lens has a concave part for being located at optical axis near zone.3rd lens
With negative refractive index, at least one of the mesh sides of the 3rd lens and display side is aspherical.
In one embodiment of this invention, the first lens have refractive index.The mesh side of second lens has one to be located at light
The convex surface part of axle near zone, the display side of the second lens has a concave part for being located at optical axis near zone.3rd lens
Mesh side have one be located at circumference near zone concave part, and the 3rd lens mesh side with display side at least within
One of to be aspherical.
In one embodiment of this invention, wherein the eyepiece optical system meets:2.5≤250mm/G3D≤25, wherein
G3D is distance of the 3rd lens to the display picture on the optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:0.5≤(T1+G12)/T2≤4.5, its
Middle T1 is the thickness of first lens on the optical axis, and G12 is first lens to the air of second lens on the optical axis
Gap, and T2 is the thickness of second lens on the optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:0.5≤T1/T2≤4, wherein T1 are should
Thickness of first lens on the optical axis, and T2 is the thickness of second lens on the optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:2.5≤ER/T3≤5, wherein ER are should
The pupil of the eyes of observer is to the distance of first lens on the optical axis, and T3 is the 3rd lens on the optical axis
Thickness.
In one embodiment of this invention, wherein the eyepiece optical system meets:0.69≦(ER+G12+T3)/T1≦
2.09, wherein ER for the eyes of the observer pupil to the distance of first lens on the optical axis, G12 is first saturating for this
Mirror is to the air gap of second lens on the optical axis, and T3 is thickness of the 3rd lens on the optical axis, and T1 for this
Thickness of one lens on the optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:0.38≦(ER+G12+T3)/G3D≦
1.02, wherein ER for the eyes of the observer pupil to the distance of first lens on the optical axis, G12 is first saturating for this
Mirror is to the air gap of second lens on the optical axis, and T3 is thickness of the 3rd lens on the optical axis, and G3D for this
Distance of three lens to the display picture on the optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:1.3≤DLD/G3D≤5, wherein DLD are
The diagonal line length of the display picture of the single pupil correspondence of the observer, and G3D be the 3rd lens to the display picture at this
Distance on optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:2.5≤TTL/ (T2+T3)≤9, wherein
TTL is distance of the mesh side of first lens to the display picture on the optical axis, and T2 is second lens in the optical axis
On thickness, and T3 be thickness of the 3rd lens on the optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:2.0≤D2/T2, wherein D2 for this second
The optics effective diameter of the mesh side of lens, and T2 is the thickness of second lens on the optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:3.5≤EFL/ER≤4.5, wherein EFL
For the system focal length of the eyepiece optical system, and ER for the eyes of the observer pupil to first lens on the optical axis
Distance.
In one embodiment of this invention, wherein the eyepiece optical system meets:0.79≦(ER+G12+T3)/T2≦
3.25, wherein ER for the eyes of the observer pupil to the distance of first lens on the optical axis, G12 is first saturating for this
Mirror is to the air gap of second lens on the optical axis, and T3 is thickness of the 3rd lens on the optical axis, and T2 for this
Thickness of two lens on the optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:1.27≦(ER+G12+G3D)/T1≦
7.19, wherein ER for the eyes of the observer pupil to the distance of first lens on the optical axis, G12 is first saturating for this
Mirror to the air gap of second lens on the optical axis, G3D be the 3rd lens to the display picture on the optical axis away from
From, and T1 is the thickness of first lens on the optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:3≤TTL/ (G23+T3)≤23, wherein
TTL is distance of the mesh side of first lens to the display picture on the optical axis, and G23 is second lens to the 3rd
The air gap of the lens on the optical axis, and T3 is thickness of the 3rd lens on the optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:6.0≤D3/T3, wherein D3 are the 3rd
The optics effective diameter of the mesh side of lens, and T3 is thickness of the 3rd lens on the optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:20≤DLD/EPSD≤36, wherein DLD
For the diagonal line length of the display picture of the single pupil correspondence of the observer, and EPSD is the half of the single pupil of the observer
Diameter.
In one embodiment of this invention, wherein the eyepiece optical system meets:0.99≦(ER+G12+T3)/G23≦
16.16, wherein ER for the eyes of the observer pupil to the distance of first lens on the optical axis, G12 for this first
Lens are to the air gap of second lens on the optical axis, and T3 is thickness of the 3rd lens on the optical axis, and G23 is to be somebody's turn to do
The air gap of second lens to the 3rd lens on the optical axis.
In one embodiment of this invention, wherein the eyepiece optical system meets:1.71≦(ER+G12+G3D)/T2≦
11.19, wherein ER for the eyes of the observer pupil to the distance of first lens on the optical axis, G12 for this first
Lens to the air gap of second lens on the optical axis, G3D be the 3rd lens to the display picture on the optical axis
Distance, and T2 is the thickness of second lens on the optical axis.
In one embodiment of this invention, the first lens have positive refractive index.The mesh side of second lens has one to be located at
The convex surface part of optical axis near zone, the display side of the second lens has a convex surface part for being located at optical axis near zone.3rd is saturating
The mesh side of mirror has a convex surface part for being located at optical axis near zone.
In one embodiment of this invention, the first lens have positive refractive index.The mesh side of second lens has one to be located at
The convex surface part of circumference near zone, the display side of the second lens has a convex surface part for being located at optical axis near zone.3rd is saturating
The mesh side of mirror has a convex surface part for being located at optical axis near zone.
In one embodiment of this invention, the display side of the second lens has a convex surface for being located at optical axis near zone
Portion.3rd lens have negative refractive index.The mesh side of 3rd lens has a convex surface part for being located at optical axis near zone and one
In the convex surface part of circumference near zone.
In one embodiment of this invention, the display side of the second lens has a convex surface for being located at optical axis near zone
Portion.The mesh side of 3rd lens has a convex surface part for being located at optical axis near zone and one positioned at the convex surface of circumference near zone
Portion.The display side of 3rd lens has a concave part for being located at optical axis near zone.
In one embodiment of this invention, the display side of the second lens has a convex surface for being located at optical axis near zone
Portion.The mesh side of 3rd lens has a convex surface part for being located at optical axis near zone and one positioned at the convex surface of circumference near zone
Portion.The display side of 3rd lens has a concave part for being located at circumference near zone.
In one embodiment of this invention, the second lens have positive refractive index.The mesh side of second lens has one to be located at
The convex surface part of optical axis near zone.The mesh side of 3rd lens has a convex surface part for being located at optical axis near zone.3rd lens
Display side have one be located at circumference near zone concave part.
In one embodiment of this invention, the mesh side of the second lens has a convex surface part for being located at optical axis near zone.
The display side of second lens has a convex surface part for being located at optical axis near zone.The mesh side of 3rd lens has one to be located at light
The convex surface part of axle near zone.The display side of 3rd lens has a concave part for being located at circumference near zone.
In one embodiment of this invention, the mesh side of the second lens has a convex surface part for being located at optical axis near zone.
The display side of second lens has a convex surface part for being located at circumference near zone.The mesh side of 3rd lens has one to be located at light
The convex surface part of axle near zone.The display side of 3rd lens has a concave part for being located at circumference near zone.
In one embodiment of this invention, the mesh side of the second lens has a convex surface part for being located at optical axis near zone.
3rd lens have negative refractive index.The mesh side of 3rd lens has a convex surface part for being located at optical axis near zone.3rd lens
Display side have one be located at circumference near zone concave part.
In one embodiment of this invention, the mesh side of the first lens has a concave part for being located at optical axis near zone.
The display side of 3rd lens has a convex surface part for being located at circumference near zone.
In one embodiment of this invention, the mesh side of the first lens has a concave part for being located at optical axis near zone.
The mesh side of second lens has a concave part for being located at circumference near zone.
In one embodiment of this invention, the mesh side of the first lens has a concave part for being located at optical axis near zone.
The mesh side of 3rd lens has a convex surface part for being located at optical axis near zone.
In one embodiment of this invention, the first lens mesh side have one be located at optical axis near zone concave part and
One is located at the convex surface part of circumference near zone.
In one embodiment of this invention, the mesh side of the first lens has a concave part for being located at optical axis near zone.
Second lens have negative refractive index.
In one embodiment of this invention, the mesh side of the first lens has a concave part for being located at optical axis near zone.
The mesh side of second lens has a concave part for being located at optical axis near zone.
In one embodiment of this invention, the mesh side of the first lens has a concave part for being located at optical axis near zone.
3rd lens have positive refractive index.
In one embodiment of this invention, the mesh side of the first lens has a concave part for being located at optical axis near zone.
The mesh side of 3rd lens has a convex surface part for being located at circumference near zone.
In one embodiment of this invention, the mesh side of the second lens has a convex surface part for being located at optical axis near zone.
The display side of second lens has a concave part for being located at optical axis near zone.The mesh side of 3rd lens has one to be located at light
The concave part of axle near zone.
In one embodiment of this invention, the mesh side of the second lens has a convex surface part for being located at optical axis near zone.
The mesh side of 3rd lens has a concave part for being located at optical axis near zone.The display side of 3rd lens has one to be located at light
The convex surface part of axle near zone.
Based on above-mentioned, the beneficial effect of the eyepiece optical system of embodiments of the invention is:By the table of said lens
Face shape designs the design with arrangement, and optical parametric with refractive index, eyepiece optical system is being shortened the bar of system length
Under part, still possessing can effectively overcome the optical property of aberration to regard visual angle there is provided good image quality, and with big eye
(apparent field of view)。
Brief description of the drawings
Fig. 1 is a schematic diagram, illustrates an eyepiece optical system.
Fig. 2 is a schematic diagram, illustrates the surface structure of a lens.
Fig. 3 is a schematic diagram, illustrates the face type concaveconvex structure and light focus of a lens.
Fig. 4 is a schematic diagram, illustrates the surface structure of the lens of an example one.
Fig. 5 is a schematic diagram, illustrates the surface structure of the lens of an example two.
Fig. 6 is a schematic diagram, illustrates the surface structure of the lens of an example three.
Fig. 7 is the schematic diagram of the eyepiece optical system of the first embodiment of the present invention.
Fig. 8 A are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of first embodiment.
Fig. 8 B are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of first embodiment.
Fig. 8 C are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of first embodiment.
Fig. 8 D are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of first embodiment.
Fig. 9 is the detailed optical tables of data trrellis diagram of the eyepiece optical system of the first embodiment of the present invention.
Figure 10 is the aspherical parameter list trrellis diagram of the eyepiece optical system of the first embodiment of the present invention.
Figure 11 is the schematic diagram of the eyepiece optical system of the second embodiment of the present invention.
Figure 12 A are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of second embodiment.
Figure 12 B are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of second embodiment.
Figure 12 C are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of second embodiment.
Figure 12 D are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of second embodiment.
Figure 13 is the detailed optical tables of data trrellis diagram of the eyepiece optical system of the second embodiment of the present invention.
Figure 14 is the aspherical parameter list trrellis diagram of the eyepiece optical system of the second embodiment of the present invention.
Figure 15 is the schematic diagram of the eyepiece optical system of the third embodiment of the present invention.
Figure 16 A are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of 3rd embodiment.
Figure 16 B are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of 3rd embodiment.
Figure 16 C are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of 3rd embodiment.
Figure 16 D are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of 3rd embodiment.
Figure 17 is the detailed optical tables of data trrellis diagram of the eyepiece optical system of the 3rd embodiment of the present invention.
Figure 18 is the aspherical parameter list trrellis diagram of the eyepiece optical system of the 3rd embodiment of the present invention.
Figure 19 is the schematic diagram of the eyepiece optical system of the fourth embodiment of the present invention.
Figure 20 A to Figure 20 D are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of fourth embodiment.
Figure 20 B are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of fourth embodiment.
Figure 20 C are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of fourth embodiment.
Figure 20 D are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of fourth embodiment.
Figure 21 is the detailed optical tables of data trrellis diagram of the eyepiece optical system of the fourth embodiment of the present invention.
Figure 22 is the aspherical parameter list trrellis diagram of the eyepiece optical system of the fourth embodiment of the present invention.
Figure 23 is the schematic diagram of the eyepiece optical system of the fifth embodiment of the present invention.
Figure 24 A are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 5th embodiment.
Figure 24 B are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 5th embodiment.
Figure 24 C are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 5th embodiment.
Figure 24 D are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 5th embodiment.
Figure 25 is the detailed optical tables of data trrellis diagram of the eyepiece optical system of the 5th embodiment of the present invention.
Figure 26 is the aspherical parameter list trrellis diagram of the eyepiece optical system of the 5th embodiment of the present invention.
Figure 27 is the schematic diagram of the eyepiece optical system of the sixth embodiment of the present invention.
Figure 28 A are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of sixth embodiment.
Figure 28 A are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of sixth embodiment.
Figure 28 B are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of sixth embodiment.
Figure 28 C are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of sixth embodiment.
Figure 28 D are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of sixth embodiment.
Figure 29 is the detailed optical tables of data trrellis diagram of the eyepiece optical system of the sixth embodiment of the present invention.
Figure 30 is the aspherical parameter list trrellis diagram of the eyepiece optical system of the sixth embodiment of the present invention.
Figure 31 is the schematic diagram of the eyepiece optical system of the seventh embodiment of the present invention.
Figure 32 A are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 7th embodiment.
Figure 32 B are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 7th embodiment.
Figure 32 C are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 7th embodiment.
Figure 32 D are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 7th embodiment.
Figure 33 is the detailed optical tables of data trrellis diagram of the eyepiece optical system of the 7th embodiment of the present invention.
Figure 34 is the aspherical parameter list trrellis diagram of the eyepiece optical system of the 7th embodiment of the present invention.
Figure 35 is the schematic diagram of the eyepiece optical system of the eighth embodiment of the present invention.
Figure 36 A are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 8th embodiment.
Figure 36 B are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 8th embodiment.
Figure 36 C are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 8th embodiment.
Figure 36 D are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 8th embodiment.
Figure 37 is the detailed optical tables of data trrellis diagram of the eyepiece optical system of the 8th embodiment of the present invention.
Figure 38 is the aspherical parameter list trrellis diagram of the eyepiece optical system of the 8th embodiment of the present invention.
Figure 39 is the schematic diagram of the eyepiece optical system of the ninth embodiment of the present invention.
Figure 40 A are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 9th embodiment.
Figure 40 B are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 9th embodiment.
Figure 40 C are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 9th embodiment.
Figure 40 D are the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of the 9th embodiment.
Figure 41 is the detailed optical tables of data trrellis diagram of the eyepiece optical system of the 9th embodiment of the present invention.
Figure 42 is the aspherical parameter list trrellis diagram of the eyepiece optical system of the 9th embodiment of the present invention.
Figure 43 is each important parameter and its relational expression of the eyepiece optical system of the first to the 5th embodiment of the present invention
Numerical tabular trrellis diagram.
Figure 44 is each important parameter and its relational expression of the eyepiece optical system of the first to the 5th embodiment of the present invention
Numerical tabular trrellis diagram.
Figure 45 is each important parameter and its relational expression of the eyepiece optical system of the 6th to the 9th embodiment of the present invention
Numerical tabular trrellis diagram.
Figure 46 is each important parameter and its relational expression of the eyepiece optical system of the 6th to the 9th embodiment of the present invention
Numerical tabular trrellis diagram.
Embodiment
In order to be more fully understood from description and its advantage, the present invention is to be provided with schema.This little schema is for this
A part for invention disclosure, it is mainly to illustrate embodiment, and the associated description of specification can be coordinated to explain reality
Apply the operation principles of example.Coordinate and refer to these contents, one skilled in the art will be understood that other possible embodiment party
The advantage of formula and the present invention.Component in figure is not necessarily to scale, and similar element numbers be conventionally used to indicate it is similar
Component.
Symbol description in accompanying drawing:
10、V100:Eyepiece optical system;100、V50:Display picture;2:Pupil;3:First lens;31、41、51:Mesh side
Face;311、313、321、323、411、413、421、423、511、513、521、523:Convex surface part;312、314、412、414、
422、424、512、514、522、524:Concave part;32、42、52:Display side;4:Second lens;425、426:Planar portions;5:
3rd lens;A:Optical axis near zone;C:Circumference near zone;DLD:The display picture of the single pupil correspondence of observer is diagonal
Line length;E:Extension;EPD:Exit pupil diameter;I:Optical axis;Lc:Chief ray;Lm:Rim ray;M、R:Point;V60:Eyes;VD:It is bright
The apparent distance;VI:It is imaged light;VV:Amplify the virtual image;ω:Half regards visual angle.
Projected, passed through by display picture V50 in general, eyepiece optical system V100 radiation direction is an imaging light VI
By eyepiece optical system V100 enter eyes V60, in eyes V60 retina focal imaging and in distance of distinct vision VD produce one
Amplify virtual image VV, as shown in Figure 1.Assume that radiation direction against trace in the judgment criterion of the optical specification of following explanation this case
(reversely tracking) is that a parallel image light rays pass through eyepiece optical system to display picture focal imaging by mesh side.
This specification says its " lens have positive refractive index (or negative refractive index) ", refers to the lens with Gauss light
The refractive index on optical axis that theory is calculated is just (or being negative).Display side, mesh side are defined as imaging light and led to
The scope crossed, wherein imaging light includes chief ray (chief ray) Lc and rim ray (marginal ray) Lm, such as schemes
Shown in 2, I is optical axis and this lens is radially symmetrical by symmetry axis of optical axis I, and light passes through the region on optical axis
For optical axis near zone A, the region that rim ray passes through is circumference near zone C, in addition, the lens also include an extension E
(i.e. the regions of circumference near zone C radially outward), with so that the lens group is loaded in an optical imaging lens, preferably into
Picture light can't be by extension E, but extension E structure is not limited to this with shape, and embodiment below is to ask
Schema succinctly eliminates the extension of part.In more detail, judge face shape or optical axis near zone, circumference near zone,
Or the method for the scope in multiple regions is as follows:
1. refer to Fig. 2, it is the sectional view of a lens radially.It is seen with the sectional view, aforementioned areas is being judged
During scope, it is the intersection point on the lens surface with optical axis to define a central point, and a transfer point is located on the lens surface
A bit, it is and vertical with optical axis by a tangent line of the point.It is sequentially first if there is a plurality of transfer points radially outward
Transfer point, the second transfer point, and away from optical axis, radially farthest transfer point is N transfer points on effectively half effect footpath.Central point and
Scope between first transfer point is optical axis near zone, and the region of N transfer points radially outward is circumference near zone, in
Between can distinguish different regions according to each transfer point.In addition, effective radius is rim ray Lm and lens surface intersection on optical axis I
Vertical range.
2. as shown in figure 3, the region shape bumps system with parallel through the light in the region (or light extension line) with
The intersection point of optical axis is determined (light focus decision procedure) in display side or mesh side.For example, after light is by the region,
Light can be focused on towards display side, with the Focus Club of optical axis position in display side, such as Fig. 3 R points, then the region is convex surface part.Instead
It, is if after light is by certain region, light can dissipate, the focus of its extension line and optical axis M points in mesh side, such as Fig. 3, then
The region is concave part, so central point is to being convex surface part between the first transfer point, the region of the first transfer point radially outward is
Concave part;From the figure 3, it may be seen that the transfer point, which is convex surface part, turns the separation of concave part, thus the definable region with radially
The region of the inner side in the adjacent region, is to have different face shapes by boundary of the transfer point.If in addition, optical axis near zone
Face shape judge can according to usual skill in the field judgment mode, (refer to paraxial radius of curvature with R values, be often referred to optics
The R values on lens data storehouse (lens data) in software) positive negative judgement bumps.For mesh side, when R values are timing, sentence
It is set to convex surface part, when R values is bear, is determined as concave part;For showing side, when R values are timing, to be determined as concave part,
When R values is bear, it is determined as convex surface part, the bumps that the method is determined are identical with light focus decision procedure.
If 3. without transfer point on the lens surface, the optical axis near zone is defined as the 0~50% of effective radius, and circumference is attached
Near field is defined as the 50~100% of effective radius.
The lens of Fig. 4 examples one show that side surface only has the first transfer point on effective radius, then the firstth area is optical axis
Near zone, the secondth area is circumference near zone.This lens shows that the R values of side are just, therefore to judge that optical axis near zone has
One concave part;The face shape of circumference near zone is different with the inside region radially close to the region.That is, circumference near zone and
The face shape of optical axis near zone is different;The circumference near zone system has a convex surface part.
The lens mesh side surface of Fig. 5 examples two has first and second transfer point on effective radius, then the firstth area is light
Axle near zone, the 3rd area is circumference near zone.The R values of this lens mesh side judge optical axis near zone to be convex for just
Face;Region (the secondth area) between first transfer point and the second transfer point has a concave part, circumference near zone (the 3rd area)
With a convex surface part.
The lens mesh side surface of Fig. 6 examples three, without transfer point, is now with effective radius 0%~50% on effective radius
Optical axis near zone, 50%~100% is circumference near zone.Because the R values of optical axis near zone are just, so mesh side exists
Optical axis near zone has a convex surface part;And without transfer point between circumference near zone and optical axis near zone, therefore area near circumference
Domain has a convex surface part.
Fig. 7 is the schematic diagram of the eyepiece optical system of the first embodiment of the present invention, and Fig. 8 A to Fig. 8 D are the first implementation
The longitudinal spherical aberration of the eyepiece optical system of example and every aberration diagram.Please also refer to Fig. 7, the eyepiece light of the first embodiment of the present invention
System 10 is seen for being imaged light from the entrance of pupil 2 of eyes of the display picture 100 through eyepiece optical system 10 and observer
The eye imaging for the person of examining, is mesh side towards the direction of eyes, is display side towards the direction of display picture 100.Eyepiece opticses system
System 10 sequentially include from mesh side to a display optical axis I of the side along eyepiece optical system 10 one first lens 3, one second lens 4 and
One the 3rd lens 5.The light sent when display picture 100 enters eyepiece optical system 10, and sequentially via the 3rd lens 5,
After second lens 4 and the first lens 3, the eyes of observer can be entered via pupil 2, and a shadow is formed on the retina of eyes
Picture.
First lens 3, the second lens 4 and the 3rd lens 5 all each have one towards mesh side and imaging light is passed through it
Mesh side 31,41,51 and one towards show side and make imaging light by display sideways 32,42,52.It is light in order to meet product
The demand of quantization, the first lens 3, the second lens 4 and the 3rd lens 5 are all to possess refractive index, and the first lens 3, the second lens 4
And the 3rd lens 5 be all made by plastic material, but the first lens 3, the second lens 4 and the 3rd lens 5 material still not with this
For limitation.
First lens 3 have positive refractive index.The mesh side 31 of first lens 3 is a convex surface, and attached positioned at optical axis I with one
The convex surface part 311 and one of near field is located at the convex surface part 313 of circumference near zone.The display side 32 of first lens 3 is one convex
Face, and with a convex surface part 323 of the convex surface part 321 and one positioned at circumference near zone for being located at optical axis I near zones.
Second lens 4 have positive refractive index.The mesh side 41 of second lens 4 is a convex surface, and attached positioned at optical axis I with one
The convex surface part 411 and one of near field is located at the convex surface part 413 of circumference near zone.The display side 42 of second lens 4 is one convex
Face, and with a convex surface part 423 of the convex surface part 421 and one positioned at circumference near zone for being located at optical axis I near zones.
3rd lens 5 have negative refractive index.The mesh side 51 of 3rd lens 5 is a convex surface, and attached positioned at optical axis I with one
The convex surface part 511 and one of near field is located at the convex surface part 513 of circumference near zone.The display side 52 of 3rd lens 5 is one recessed
Face, and with a concave part 524 of the concave part 522 and one positioned at circumference near zone for being located at optical axis I near zones.
In addition, in the present embodiment, only said lens have refractive index, and eyepiece optical system 10 has refractive index
Lens only have three.
In addition, relation such as Fig. 1, Figure 43 and Figure 44 institute in the eyepiece optical system 10 of first embodiment between each important parameter
Show.
Wherein,
EPD is the exit pupil diameter (exit pupil diameter) of eyepiece optical system 10, corresponding to the pupil of observer
2 diameter, daytime is about 3mm, and can arrive about 7mm in the evening, as depicted in Fig. 1;
EPSD is the semidiameter (semidiameter) of the pupil 2 of observer;
ER (eye relief) is distance of exit pupil, i.e. 3 distance on optical axis I of the 2 to the first lens of observer's pupil;
ω regards visual angle (half apparent field of view), i.e. the half field-of-view angle of observer for half, such as
Depicted in Fig. 1;
T1 is thickness of first lens 3 on optical axis I;
T2 is thickness of second lens 4 on optical axis I;
T3 is thickness of the 3rd lens 5 on optical axis I;
G12 is mesh side 41 distance on optical axis I, i.e., first of 32 to the second lens 4 of display side of the first lens 3
The air gap of the lens of lens 3 to the second 4 on optical axis I;
G23 is mesh side 51 distance on optical axis I, i.e., second of 42 to the 3rd lens 5 of display side of the second lens 4
The air gap of the lens 4 to the 3rd lens 5 on optical axis I;
G3D arrives for display side 52 distance to display picture 100 on optical axis I, i.e. the 3rd lens 5 of the 3rd lens 5
The air gap of the display picture 100 on optical axis I;
DLD is the diagonal line length of the display picture 100 of the single correspondence of pupil 2 of observer, as depicted in Fig. 1;
The distance of distinct vision (Least distance of distinct vision) be eyes can understand focus on it is nearest it
Distance, young people is usually 250 millimeters (millimeter, mm), the distance of distinct vision VD as depicted in Fig. 1;
ALT is the summation of the thickness of the first lens 3, the second lens 4 and the 3rd lens 5 on optical axis I, i.e. T1 and T2 it
With;
Gaa is the summation of two the air gap of the lens 5 of the first lens 3 to the 3rd on optical axis I, i.e. G12 and G23 it
With;
TTL is 31 distance to display picture 100 on optical axis I of mesh side of the first lens 3;
TL shows 52 distance on optical axis I of side for 31 to the 3rd lens 5 of mesh side of the first lens 3;
SL is system length, i.e. distance of the pupil 2 of observer to display picture 100 on optical axis I;And
EFL is the system focal length of eyepiece optical system 10.
In addition, re-defining:
F1 is the focal length of the first lens 3;
F2 is the focal length of the second lens 4;
F3 is the focal length of the 3rd lens 5;
N1 is the refractive index of the first lens 3;
N2 is the refractive index of the second lens 4;
N3 is the refractive index of the 3rd lens 5;
ν 1 is the Abbe number (Abbe number) of the first lens 3, and Abbe number is alternatively referred to as abbe number;
ν 2 is the Abbe number of the second lens 4;
ν 3 is the Abbe number of the 3rd lens 5;
D1 is the optics effective diameter (a diameter of a clear aperture) of the mesh side 31 of the first lens 3;
D2 is the optics effective diameter of the mesh side 41 of the second lens 4;And
D3 is the optics effective diameter of the mesh side 51 of the 3rd lens 5.
Other detailed optical data of first embodiment as shown in figure 9, and first embodiment eyepiece optical system 10 it is whole
The system focal length (effective focal length, EFL) of body is 48.594mm, and half regards visual angle (half apparent
Field of view, ω) it is 40.000 °, TTL is 56.100mm, and f-number (f-number, Fno) is 9.626.It is specific and
" f-number " in speech, this specification is the reversibility pricinple according to light, is thing side by mesh side view, and display side view is image side, and
The pupil of observer is considered as the calculated f-number of entrance pupil institute.In addition, 0.5 times of DLD is 40.459mm.Wherein, Fig. 9
In effective radius refer to the half of optics effective diameter.
In addition, in the present embodiment, mesh side 31 and display side 32 and the mesh side of the 3rd lens 5 of the first lens 3
51 be aspherical with showing that side 52 amounts to four faces, and the mesh of the second lens 4 side 41 is with showing that side 42 is sphere.This
Aspherical a bit defined according to following equation:
Wherein:
Y:The distance of point and optical axis I in aspheric curve;
Z:Aspherical depth is (and tangent apart from the point that optical axis I is Y on aspherical
Tangent plane in summit on aspherical optical axis I, vertical range between the two);
R:Radius of curvature at lens surface dipped beam axle I;
K:Conical surface coefficient (conic constant);
ai:I-th rank asphericity coefficient.
Mesh side 31,41 and 51 and 32,42 and 52 every asphericity coefficient such as Figure 10 institutes in formula (1) of display side
Show.Wherein, field number 31 represents its asphericity coefficient for the mesh side 31 of the first lens 3 in Figure 10, and other fields are according to this
Analogize.In Fig. 10, the asphericity coefficient of mesh side 41 and display side 42 is all zero, and it represents mesh side 41 and display side
42 be sphere.
Coordinate again refering to Fig. 8 A to Fig. 8 D, Fig. 8 A to Fig. 8 D are every aberration of the eyepiece optical system 10 of first embodiment
Figure, and be to assume that radiation direction is that a parallel image light rays sequentially pass through pupil 2 and eyepiece optical system 10 by mesh side against trace
To every aberration diagram obtained by the focal imaging of display picture 100.In the present embodiment, the items presented in above-mentioned every aberration diagram
Aberration performance can determine the imaging light from display picture 100 in every aberration table of the retina image-forming of the eyes of observer
It is existing.That is, when the every aberration presented in above-mentioned every aberration diagram is smaller, the imaging of the retina of the eyes of observer
Every aberration performance also can be smaller so that observer can watch image quality preferably image.Fig. 8 A schema explanation
First embodiment when its pupil radius (pupil radius) is 2.5000mm and when wavelength be 450 nanometers (nm), 540nm and
Longitudinal spherical aberration (longitudinal spherical aberration) during 630nm, Fig. 8 B and Fig. 8 C schema is then said respectively
The bright first embodiment relevant sagitta of arc (sagittal) side in display picture 100 when its wavelength is 450nm, 540nm and 630nm
To the curvature of field (field curvature) aberration and meridian (tangential) direction curvature of field aberration, Fig. 8 D schema then says
Distortion aberration of the bright first embodiment when its wavelength is 450nm, 540nm and 630nm in display picture 100
(distortion aberration).In the longitudinal spherical aberration pictorial image 8A of this first embodiment, curve formed by each wavelength
It is all close very close to and to centre, illustrate that the Off-axis-light of each wavelength different height is all concentrated near imaging point, by every
The skewness magnitude level of the curve of one wavelength can be seen that the imaging point deviation of the Off-axis-light of different height controls the model at ± 1 millimeter
In enclosing, therefore the present embodiment is obviously improved the spherical aberration of phase co-wavelength really, in addition, three kinds to represent the distance of wavelength to each other also suitable
Close, the image space for representing different wave length light is quite concentrated, thus chromatic aberation is also obviously improved.
In Fig. 8 B and Fig. 8 C two curvature of field aberrations diagram, three kinds represent focal length of the wavelength in whole field range and become
Change amount falls in ± 5.9 millimeters, illustrates the optical system of this first embodiment and can effectively eliminate aberration.And Fig. 8 D distortion aberration
Schema then shows that the distortion aberration of this first embodiment is maintained in the range of ± 2.2%, illustrates the distortion of this first embodiment
Aberration has met the image quality requirement of optical system, and this first embodiment is illustrated accordingly compared to existing eyepiece optical system,
Under conditions of its TTL has foreshortened to 56.100mm or so, remain to provide good image quality, therefore this first embodiment can be
Maintain under the conditions of favorable optical performance, shorten optical system length and expand eye regarding visual angle, to realize miniaturization, low aberrations
And big eye regards the product design at visual angle.
Figure 11 is the schematic diagram of the eyepiece optical system of the second embodiment of the present invention, and Figure 12 A to Figure 12 D are second real
Apply the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of example.Please also refer to Figure 11, eyepiece optical system 10 of the present invention
One second embodiment, it is substantially similar with first embodiment, and both difference is as described below:Each optical data, aspherical system
Parameter between number and these lens 3,4 and 5 is more or less somewhat different.In addition, in the present embodiment, the mesh side of the first lens 3
Face 31 is a concave surface, and with a concave part of the concave part 312 and one positioned at circumference near zone for being located at optical axis I near zones
314.Second lens 4 have negative refractive index.The mesh side 41 of second lens 4 is a concave surface, and is located at optical axis I areas nearby with one
The concave part 412 and one in domain is located at the concave part 414 of circumference near zone.The display side 42 of second lens 4 is a plane, and
It is located at the planar portions 426 of circumference near zone with the planar portions 425 and one for being located at optical axis I near zones.3rd lens 5 have
There is positive refractive index.In addition, in the present embodiment, the display side 52 of the 3rd lens 5 is a convex surface, and is located at optical axis I with one
The convex surface part 521 and one of near zone is located at the convex surface part 523 of circumference near zone.Herein it is noted that in order to clearly
Show clipped and the label of first embodiment identical concave part and convex surface part in drawing, Figure 11.In the present embodiment, mesh
31,41 and 51 and display side 32,42 and 52 are all sphere sideways.
The optical data that the eyepiece optical system 10 of second embodiment is detailed is as shown in figure 13, and the eyepiece of second embodiment
The overall EFL of optical system 10 is 44.658mm, and ω is 45.000 °, and TTL is 57.500mm, and Fno is 8.864, and 0.5 times
DLD is 31.563mm.
As shown in figure 14, then for second embodiment mesh side 31,41 and 51 and display side 32,42 and 52 in formula
(1) every asphericity coefficient in.
In addition, the relation in the eyepiece optical system 10 of second embodiment between each important parameter is as shown in Figure 43 and Figure 44.
In longitudinal spherical aberration pictorial image 12A of this second embodiment when its pupil radius is 2.5000mm, different height
The imaging point deviation of Off-axis-light is controlled in the range of ± 2 millimeters.In Figure 12 B and Figure 12 C two curvature of field aberrations diagram,
Three kinds represent focal length variations amount of the wavelength in whole field range and fall in ± 17 millimeters.And Figure 12 D distortion aberration schema
Then show that the distortion aberration of this second embodiment is maintained in the range of ± 30%.Illustrate this second embodiment compared to existing accordingly
Some eyepiece optical systems, under conditions of TTL has foreshortened to 57.500mm or so, remain to provide good image quality.
It can be learnt via described above, second embodiment is compared to the advantage of first embodiment:Second embodiment
Fno is less than the Fno of first embodiment.The ω of second embodiment is more than the ω of first embodiment.
Figure 15 is the schematic diagram of the eyepiece optical system of the third embodiment of the present invention, and Figure 16 A to Figure 16 D are the 3rd real
Apply the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of example.Please also refer to Figure 15, eyepiece optical system 10 of the present invention
One 3rd embodiment, it is substantially similar with first embodiment, and both difference is as described below:Each optical data, aspherical system
Parameter between number and these lens 3,4 and 5 is more or less somewhat different, in addition, in the present embodiment, the mesh side of the first lens 3
Face 31 has one to be located at concave part 314 of the concave part 312 and one positioned at circumference near zone that near field drops in optical axis I.Second is saturating
The mesh side 41 of mirror 4 has a concave part of the convex surface part 411 and one positioned at circumference near zone for being located at optical axis I near zones
414.There is a concave part 422 and one for being located at optical axis I near zones to be located at circumference area nearby for the display side 42 of second lens 4
The convex surface part 423 in domain.There is a convex surface part 511 and one for being located at optical axis I near zones to be located at circle for the mesh side 51 of 3rd lens 5
The concave part 514 of all near zones.The display side 52 of 3rd lens 5 has a concave part 522 for being located at optical axis I near zones
And one be located at circumference near zone convex surface part 523.Herein it is noted that being omitted to clearly illustrate in drawing, Figure 15
With the label of first embodiment identical concave part and convex surface part.In the present embodiment, mesh side 31,41 and 51 and display side
32nd, 42 and 52 be all aspherical.
The optical data that the eyepiece optical system 10 of 3rd embodiment is detailed is as shown in figure 17, and the eyepiece of 3rd embodiment
The overall EFL of optical system 10 is 48.338mm, and ω is 45.000 °, and TTL is 53.228mm, and Fno is 8.024, and 0.5 times
DLD is 35.333mm.
As shown in figure 18, then for 3rd embodiment mesh side 31,41 and 51 and display side 32,42 and 52 in formula
(1) every asphericity coefficient in.
In addition, the relation in the eyepiece optical system 10 of 3rd embodiment between each important parameter is as shown in Figure 43 and Figure 44.
In longitudinal spherical aberration pictorial image 16A of this third embodiment when its pupil radius is 3.0000mm, different height
The imaging point deviation of Off-axis-light is controlled in the range of ± 0.6 millimeter.Illustrated in Figure 16 B and Figure 16 C two curvature of field aberrations
In, three kinds represent focal length variations amount of the wavelength in whole field range and fall in ± 1.5 millimeters.And Figure 16 D distortion aberration
Schema then shows that the distortion aberration of this third embodiment is maintained in the range of ± 28%.Illustrate that this third embodiment is compared accordingly
In existing optical lens, under conditions of TTL has foreshortened to 53.228mm or so, remain to provide good image quality.
It can be learnt via described above, 3rd embodiment is compared to the advantage of first embodiment:3rd embodiment
The TTL of eyepiece optical system 10 is less than the TTL of first embodiment, and the Fno of 3rd embodiment is less than the Fno of first embodiment, the
Half of three embodiments regards half of visual angle ω more than first embodiment regarding visual angle ω.The longitudinal spherical aberration of 3rd embodiment is less than the
The longitudinal spherical aberration of one embodiment.The curvature of field of 3rd embodiment is less than the curvature of field of first embodiment.
Figure 19 is the schematic diagram of the eyepiece optical system of the fourth embodiment of the present invention, and Figure 20 A to Figure 20 D are the 4th real
Apply the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of example.Please also refer to Figure 19, eyepiece optical system 10 of the present invention
One fourth embodiment, it is substantially similar with first embodiment, and both difference is as described below:Each optical data, aspherical system
Parameter between number and these lens 3,4 and 5 is more or less somewhat different.In addition, in the present embodiment, the mesh side of the second lens 4
Face 41 has a concave part 414 of the convex surface part 411 and one positioned at circumference near zone for being located at optical axis I near zones.Second is saturating
The display side 42 of mirror 4 has a convex surface part of the concave part 422 and one positioned at circumference near zone for being located at optical axis I near zones
423.The mesh side 51 of 3rd lens 5 is a concave surface, and is located at a concave part 512 and one for being located at optical axis I near zones
The concave part 514 of circumference near zone.The display side 52 of 3rd lens 5 is a convex surface, and is located at optical axis I areas nearby with one
The convex surface part 521 and one in domain is located at the convex surface part 523 of circumference near zone.Herein it is noted that in order to clearly illustrate figure
The label with first embodiment identical concave part and convex surface part is omitted in face, Figure 19.In the present embodiment, mesh side 31,41
And 51 32,42 and 52 be all aspherical with display side.
The optical data that the eyepiece optical system 10 of fourth embodiment is detailed is as shown in figure 21, and the eyepiece of fourth embodiment
The overall EFL of optical system 10 is 49.996mm, and ω is 45.000 °, and TTL is 61.224mm, and Fno is 12.430, and 0.5 times
DLD is 35.638mm.
As shown in figure 22, then for fourth embodiment mesh side 31,41 and 51 and display side 32,42 and 52 in formula
(1) every asphericity coefficient in.
In addition, the relation in the eyepiece optical system 10 of fourth embodiment between each important parameter is as shown in Figure 43 and Figure 44.
This fourth embodiment is vertical when pupil radius is 2.0000mm and when wavelength is 486nm, 587nm and 656nm
Into spherical aberration pictorial image 20A, the imaging point deviation of the Off-axis-light of different height is controlled in the range of ± 0.65 millimeter.In figure
In two curvature of field aberrations diagrams of the 20B and Figure 20 C when wavelength is 486nm, 587nm and 656nm, three kinds represent wavelength whole
Focal length variations amount in field range falls in ± 1.1 millimeters.And Figure 20 D distortion aberration schema then shows this fourth embodiment
Distortion aberration maintain in the range of ± 29%.Illustrate this fourth embodiment accordingly compared to existing optical lens, in TTL
Foreshorten under conditions of 61.224mm or so, remain to provide good image quality.
It can be learnt via described above, fourth embodiment is compared to the advantage of first embodiment:Fourth embodiment
ω is more than the ω of first embodiment.The longitudinal spherical aberration of fourth embodiment is less than the longitudinal spherical aberration of first embodiment.Fourth embodiment
The curvature of field be less than first embodiment the curvature of field.The optical axis of the lens of fourth embodiment and the thickness diversity ratio of circumference near zone the
One embodiment is small, therefore fourth embodiment is more easily fabricated than first embodiment, so yield is higher.
Figure 23 is the schematic diagram of the eyepiece optical system of the fifth embodiment of the present invention, and Figure 24 A to Figure 24 D are the 5th real
Apply the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of example.Please also refer to Figure 23, eyepiece optical system 10 of the present invention
One the 5th embodiment, it is substantially similar with first embodiment, and both difference is as described below:Each optical data, aspherical system
Parameter between number and these lens 3,4 and 5 is more or less somewhat different, in addition, in the present embodiment, the mesh side of the second lens 4
Face 41 has a concave part 414 of the convex surface part 411 and one positioned at circumference near zone for being located at optical axis I near zones.Second is saturating
The display side 42 of mirror 4 has a convex surface part of the concave part 422 and one positioned at circumference near zone for being located at optical axis I near zones
423.The mesh side 51 of 3rd lens 5 is a concave surface, and is located at a concave part 512 and one for being located at optical axis I near zones
The concave part 514 of circumference near zone.The display side 52 of 3rd lens 5 is a convex surface, and is located at optical axis I areas nearby with one
The convex surface part 521 and one in domain is located at the convex surface part 523 of circumference near zone.Herein it is noted that in order to clearly illustrate figure
The label with first embodiment identical concave part and convex surface part is omitted in face, Figure 23.In the present embodiment, mesh side 31,41
And 51 with display side 32,42 and 52 to be aspherical.
The optical data that the eyepiece optical system 10 of 5th embodiment is detailed is as shown in figure 25, and the eyepiece of the 5th embodiment
The overall EFL of optical system 10 is 50.117mm, and ω is 45.000 °, and TTL is 61.318mm, and Fno is 12.460, and 0.5 times
DLD is 35.857mm.
As shown in figure 26, then for the 5th embodiment mesh side 31,41 and 51 and display side 32,42 and 52 in formula
(1) every asphericity coefficient in.
In addition, the relation in the eyepiece optical system 10 of the 5th embodiment between each important parameter is as shown in Figure 43 and Figure 44.
In longitudinal spherical aberration pictorial image 24A of this fifth embodiment when its pupil radius is 2.0000mm, different height
The imaging point deviation of Off-axis-light is controlled in the range of ± 0.62 millimeter.Illustrated in Figure 24 B and Figure 24 C two curvature of field aberrations
In, three kinds represent focal length variations amount of the wavelength in whole field range and fall in ± 1.2 millimeters.And Figure 24 D distortion aberration
Schema then shows that the distortion aberration of this fifth embodiment is maintained in the range of ± 29%.Illustrate that this fifth embodiment is compared accordingly
In existing optical lens, under conditions of TTL has foreshortened to 61.318mm or so, remain to provide good image quality.
It can be learnt via described above, the 5th embodiment is compared to the advantage of first embodiment:5th embodiment
ω is less than the ω of first embodiment.The longitudinal spherical aberration of 5th embodiment is less than the longitudinal spherical aberration of first embodiment.5th embodiment
The curvature of field be less than first embodiment the curvature of field.The optical axis of the lens of 5th embodiment and the thickness diversity ratio of circumference near zone the
One embodiment is small, therefore the 5th embodiment is more easily fabricated than first embodiment, so yield is higher.
Figure 27 is the schematic diagram of the eyepiece optical system of the sixth embodiment of the present invention, and Figure 28 A to Figure 28 D are the 6th real
Apply the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of example.Please also refer to Figure 27, eyepiece optical system 10 of the present invention
One sixth embodiment, it is substantially similar with first embodiment, and both difference is as described below:Each optical data, aspherical system
Parameter between number and these lens 3,4 and 5 is more or less somewhat different.The display side 42 of second lens 4 is a concave surface, and is had
There is a concave part 422 and one for being located at optical axis I near zones to be located at the concave part 424 of circumference near zone.The mesh of 3rd lens 5
51 be a concave surface sideways, and with a concave surface of the concave part 512 and one positioned at circumference near zone for being located at optical axis I near zones
Portion 514.The display side 52 of 3rd lens 5 is a convex surface, and with a convex surface part 521 and one for being located at optical axis I near zones
Positioned at the convex surface part 523 of circumference near zone.Herein it is noted that being omitted and the to clearly illustrate in drawing, Figure 27
The label of one embodiment identical concave part and convex surface part.In the present embodiment, mesh side 31,41 and 51 with display side 32,
42 and 52 be all aspherical.
The optical data that the eyepiece optical system 10 of sixth embodiment is detailed is as shown in figure 29, and the eyepiece of sixth embodiment
The overall EFL of optical system 10 is 50.272mm, and ω is 45.000 °, and TTL is 62.697mm, and Fno is 8.306, and 0.5 times
DLD is 35.286mm.
As shown in figure 30, then for sixth embodiment mesh side 31,41 and 51 and display side 32,42 and 52 in formula
(1) every asphericity coefficient in.
In addition, the relation in the eyepiece optical system 10 of sixth embodiment between each important parameter is as shown in Figure 45 and Figure 46.
In longitudinal spherical aberration pictorial image 28A of this sixth embodiment when its pupil radius is 3.0000mm, different height
The imaging point deviation of Off-axis-light is controlled in the range of ± 135 millimeters.Illustrated in Figure 28 B and Figure 28 C two curvature of field aberrations
In, three kinds represent focal length variations amount of the wavelength in whole field range and fall in ± 1.2 millimeters.And Figure 28 D distortion aberration
Schema then shows that the distortion aberration of this sixth embodiment is maintained in the range of ± 21%.Illustrate that this sixth embodiment is compared accordingly
In existing optical lens, under conditions of TTL has foreshortened to 62.697mm or so, remain to provide good image quality.
It can be learnt via described above, sixth embodiment is compared to the advantage of first embodiment:Sixth embodiment
Fno is less than the Fno of first embodiment.The ω of sixth embodiment is less than the ω of first embodiment.The curvature of field of sixth embodiment is less than
The curvature of field of first embodiment.The optical axis of the lens of sixth embodiment and the thickness diversity ratio first embodiment of circumference near zone
It is small, therefore sixth embodiment is more easily fabricated than first embodiment, so yield is higher.
Figure 31 is the schematic diagram of the eyepiece optical system of the seventh embodiment of the present invention, and Figure 32 A to Figure 32 D are the 7th real
Apply the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of example.Please also refer to Figure 31, eyepiece optical system 10 of the present invention
One the 7th embodiment, it is substantially similar with first embodiment, and both difference is as described below:Each optical data, aspherical system
Parameter between number and these lens 3,4 and 5 is more or less somewhat different.The mesh side 41 of second lens 4 has one to be located at optical axis I
The convex surface part 411 and one of near zone is located at the concave part 414 of circumference near zone.The display side 42 of second lens 4 has
One concave part 422 and one for being located at optical axis I near zones is located at the convex surface part 423 of circumference near zone.The mesh side of 3rd lens 5
Face 51 is a concave surface, and with a concave part of the concave part 512 and one positioned at circumference near zone for being located at optical axis I near zones
514.The display side 52 of 3rd lens 5 is a convex surface, and has a convex surface part 521 for being located at optical axis I near zones and one
In the convex surface part 523 of circumference near zone.Herein it is noted that being omitted and first to clearly illustrate in drawing, Figure 31
The label of embodiment identical concave part and convex surface part.In the present embodiment, mesh side 31,41 and 51 and display side 32,42
And 52 be all aspherical.
The optical data that the eyepiece optical system 10 of 7th embodiment is detailed is as shown in figure 33, and the eyepiece of the 7th embodiment
The overall EFL of optical system 10 is 50.090mm, and ω is 45.000 °, and TTL is 63.000mm, and Fno is 8.225, and 0.5 times
DLD is 35.192mm.
As shown in figure 34, then for the 7th embodiment mesh side 31,41 and 51 and display side 32,42 and 52 in formula
(1) every asphericity coefficient in.
In addition, the relation in the eyepiece optical system 10 of the 7th embodiment between each important parameter is as shown in Figure 45 and Figure 46.
In the longitudinal spherical aberration pictorial image 32A of this 7th embodiment when pupil radius is 3.0000mm, different height from
The imaging point deviation of axial ray is controlled in the range of ± 1.1 millimeters.In Figure 32 B and Figure 32 C two curvature of field aberrations diagram,
Three kinds represent focal length variations amount of the wavelength in whole field range and fall in ± 0.9 millimeter.And Figure 32 D distortion aberration schema
Then show that the distortion aberration of this 7th embodiment is maintained in the range of ± 30%.This 7th embodiment of explanation is compared to existing accordingly
There is optical lens, under conditions of TTL has foreshortened to 63.000mm or so, remain to provide good image quality.
It can be learnt via described above, the 7th embodiment is compared to the advantage of first embodiment:7th embodiment
Fno is less than the Fno of first embodiment.The ω of 7th embodiment is more than the ω of first embodiment.The curvature of field of 7th embodiment is less than
The curvature of field of first embodiment.The optical axis of the lens of 7th embodiment and the thickness diversity ratio first embodiment of circumference near zone
It is small, therefore the 7th embodiment is more easily fabricated than first embodiment, so yield is higher.
Figure 35 is the schematic diagram of the eyepiece optical system of the eighth embodiment of the present invention, and Figure 36 A to Figure 36 D are the 8th real
Apply the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of example.Please also refer to Figure 35, eyepiece optical system 10 of the present invention
One the 8th embodiment, it is substantially similar with first embodiment, and both difference is as described below:Each optical data, aspherical system
Parameter between number and these lens 3,4 and 5 is more or less somewhat different.In addition, in the present embodiment, the mesh side of the first lens 3
Face 31 is a concave surface, and with a concave part of the concave part 312 and one positioned at circumference near zone for being located at optical axis I near zones
314.There is a concave part 422 and one for being located at optical axis I near zones to be located at circumference area nearby for the display side 42 of second lens 4
The convex surface part 423 in domain.The mesh side 51 of 3rd lens 5 is a concave surface, and with a concave part for being located at optical axis I near zones
512 and one be located at circumference near zone concave part 514.The display side 52 of 3rd lens 5 is a convex surface, and is located at one
The convex surface part 521 and one of optical axis I near zones is located at the convex surface part 523 of circumference near zone.Herein it is noted that in order to clear
Show to Chu the label omitted in drawing, Figure 35 with first embodiment identical concave part and convex surface part.In the present embodiment, mesh
31,41 and 51 and display side 32,42 and 52 are all aspherical sideways.
The optical data that the eyepiece optical system 10 of 8th embodiment is detailed is as shown in figure 37, and the eyepiece of the 8th embodiment
The overall EFL of optical system 10 is 50.327mm, and ω is 45.000 °, and TTL is 63.000mm, and Fno is 8.092, and 0.5 times
DLD is 34.974mm.
As shown in figure 38, then for the 8th embodiment mesh side 31,41 and 51 and display side 32,42 and 52 in formula
(1) every asphericity coefficient in.
In addition, the relation in the eyepiece optical system 10 of the 8th embodiment between each important parameter is as shown in Figure 45 and Figure 46.
In the longitudinal spherical aberration pictorial image 36A of this 8th embodiment when pupil radius is 3.0000mm, different height from
The imaging point deviation of axial ray is controlled in the range of ± 1.35 millimeters.Illustrated in Figure 36 B and Figure 36 C two curvature of field aberrations
In, three kinds represent focal length variations amount of the wavelength in whole field range and fall in ± 0.98 millimeter.And Figure 36 D distortion aberration
Schema then shows that the distortion aberration of this 8th embodiment is maintained in the range of ± 30%.This 8th embodiment of explanation is compared accordingly
In existing optical lens, under conditions of TTL has foreshortened to 63.000mm or so, remain to provide good image quality.
It can be learnt via described above, the 8th embodiment is compared to the advantage of first embodiment:8th embodiment
Fno is less than the Fno of first embodiment.The ω of 8th embodiment is more than the ω of first embodiment.The curvature of field of 8th embodiment is less than
The curvature of field of first embodiment.The optical axis of the lens of 8th embodiment and the thickness diversity ratio first embodiment of circumference near zone
It is small, therefore the 8th embodiment is more easily fabricated than first embodiment, so yield is higher.
Figure 39 is the schematic diagram of the eyepiece optical system of the ninth embodiment of the present invention, and Figure 40 A to Figure 40 D are the 9th real
Apply the longitudinal spherical aberration and every aberration diagram of the eyepiece optical system of example.Please also refer to Figure 39, eyepiece optical system 10 of the present invention
One the 9th embodiment, it is substantially similar with first embodiment, and both difference is as described below:Each optical data, aspherical system
Parameter between number and these lens 3,4 and 5 is more or less somewhat different.In addition, in the present embodiment, the mesh side of the first lens 3
Face 31 has a convex surface part 313 of the concave part 312 and one positioned at circumference near zone for being located at optical axis I near zones.Second is saturating
The display side 42 of mirror 4 has a convex surface part of the concave part 422 and one positioned at circumference near zone for being located at optical axis I near zones
423.The mesh side 51 of 3rd lens 5 is a concave surface, and is located at a concave part 512 and one for being located at optical axis I near zones
The concave part 514 of circumference near zone.The display side 52 of 3rd lens 5 is a convex surface, and is located at optical axis I areas nearby with one
The convex surface part 521 and one in domain is located at the convex surface part 523 of circumference near zone.Herein it is noted that in order to clearly illustrate figure
The label with first embodiment identical concave part and convex surface part is omitted in face, Figure 39.In the present embodiment, mesh side 31,41
And 51 32,42 and 52 be all aspherical with display side.
The optical data that the eyepiece optical system 10 of 9th embodiment is detailed is as shown in figure 41, and the eyepiece of the 9th embodiment
The overall EFL of optical system 10 is 51.558mm, and ω is 45.000 °, and TTL is 61.921mm, and Fno is 8.324, and 0.5 times
DLD is 35.043mm.
As shown in figure 42, then for the 9th embodiment mesh side 31,41 and 51 and display side 32,42 and 52 in formula
(1) every asphericity coefficient in.
In addition, the relation in the eyepiece optical system 10 of the 9th embodiment between each important parameter is as shown in Figure 45 and Figure 46.
In the longitudinal spherical aberration pictorial image 40A of this 9th embodiment when pupil radius is 3.0000mm, different height from
The imaging point deviation of axial ray is controlled in the range of ± 1.4 millimeters.In Figure 40 B and Figure 40 C two curvature of field aberrations diagram,
Three kinds represent focal length variations amount of the wavelength in whole field range and fall in ± 1.2 millimeters.And Figure 40 D distortion aberration schema
Then show that the distortion aberration of this 9th embodiment is maintained in the range of ± 32%.This 9th embodiment of explanation is compared to existing accordingly
There is optical lens, under conditions of TTL has foreshortened to 61.921mm or so, remain to provide good image quality.
It can be learnt via described above, the 9th embodiment is compared to the advantage of first embodiment:9th embodiment
Fno is less than the Fno of first embodiment.The ω of 9th embodiment is more than the ω of first embodiment.The curvature of field of 9th embodiment is less than
The curvature of field of first embodiment.In addition, the thickness diversity ratio first of the optical axis of the lens of the 9th embodiment and circumference near zone is real
Apply example small, therefore the 9th embodiment is more easily fabricated than first embodiment, so yield is higher.
Coordinate again refering to Figure 43 to Figure 46, be the tabular drawing of every optical parametric of above-mentioned nine embodiments, work as the present invention
Embodiment eyepiece optical system 10 in every optical parametric between relational expression meet following condition formulae at least within it
For the moment, can assist designer design possess favorable optical performance, entire length effectively shorten, eye be effectively increased depending on visual angle and
Technically feasible eyepiece optical system:
First, effect that the system length and eye of eyepiece optical system 10 effectively expand depending on visual angle is shortened in order to reach, suitably
Ground shortens the air gap between lens thickness and lens, but considers the difficulty of lens assembling process and must take into account imaging
On the premise of quality, the air gap between lens thickness and lens needs mutual allotment each other, thus satisfy the following conditional expression to
Under one of few, eyepiece optical system 10, which can reach, preferably to be configured:
(a) 1.0≤TTL/G3D is met, 1.0≤TTL/G3D≤4.5 are preferably met.When meet 1.0≤TTL/G3D≤
When 1.5, distortion can obtain obvious improvement with astigmatic image error.When meeting 1.5≤TTL/G3D≤4.5, longitudinal spherical aberration can be obtained
Obtaining significantly improves.
(b) 0.5≤(T1+G12)/T2 is met, 0.50≤(T1+G12)/T2≤4.50 are preferably met.
(c) 1.5≤TTL/ (T1+T2) is met, 1.50≤TTL/ (T1+T2)≤6.00 are preferably met.When meet 3.0≤
(during T1+T2)≤6.0, distortion can obtain obvious improvement to TTL/ with astigmatic image error.When meet 1.5≤TTL/ (T1+T2)≤
When 3.0, longitudinal spherical aberration can obtain obvious improvement.
(d) 2.5≤TTL/ (T2+T3) is met, 2.50≤TTL/ (T2+T3)≤9.00 are preferably met.
(e) 3.0≤TTL/ (G23+T3) is met, 3.00≤TTL/ (G23+T3)≤23.00 are preferably met.Work as satisfaction
(during G23+T3)≤23.0, distortion can obtain obvious improvement to 6.0≤TTL/ with astigmatic image error.As 3.0≤TTL/ of satisfaction
(G23+T3 during)≤6.0, longitudinal spherical aberration can obtain obvious improvement.
(f) 1.0≤D1/T1 is met, 1.00≤D1/T1≤5.00 are preferably met.When satisfaction 4.0≤D1/T1≤5.0
When, distortion can obtain obvious improvement with astigmatic image error.When meeting 1.0≤D1/T1≤4.0, longitudinal spherical aberration can obtain compared with
It is obvious to improve.
(g) 2.0≤D2/T2 is met, 2.00≤D2/T2≤19.00 are preferably met.
(h) 6.0≤D3/T3 is met, 6.00≤D3/T3≤21.00 are preferably met.
(i) T1/T2≤6 are met, 0.50≤T1/T2≤6.00 are preferably met.When meeting 1.4≤T1/T2≤6.0,
Distortion can obtain obvious improvement with astigmatic image error.When meeting 0.5≤T1/T2≤4.0, longitudinal spherical aberration can obtain more apparent
Improvement.
(j) 1≤T1/ (G12+T3) is met, 1.00≤T1/ (G12+T3)≤8.00 are preferably met.When meet 1.0≤
(during G12+T3)≤3.0, distortion can obtain obvious improvement to T1/ with astigmatic image error.When meet 3.0≤T1/ (G12+T3)≤
When 8.0, longitudinal spherical aberration can obtain obvious improvement.
(k) 0.25≤T2/ (G12+T3) is met, 0.25≤T2/ (G12+T3)≤8.00 are preferably met.When satisfaction 0.25
(during G12+T3)≤2.0, distortion can obtain obvious improvement to≤T2/ with astigmatic image error.As 1.4≤T2/ of satisfaction (G12+T3)
When≤8.0, longitudinal spherical aberration can obtain obvious improvement.
(l) G3D/T1≤7 are met, 0.5≤G3D/T1≤7.00 are preferably met.When satisfaction 4.0≤G3D/T1≤7.0
When, distortion can obtain obvious improvement with astigmatic image error.When meeting 0.5≤G3D/T1≤1.5, longitudinal spherical aberration can obtain compared with
It is obvious to improve.
(m) G3D/T2≤22 are met, 0.9≤G3D/T2≤22.00 are preferably met.When meet 7.0≤G3D/T2≤
When 22.0, distortion can obtain obvious improvement with astigmatic image error.When meeting 0.9≤G3D/T2≤3.0, longitudinal spherical aberration can be obtained
Obtaining significantly improves.
(n) 3≤G3D/T3 is met, 3.0≤G3D/T3≤18.00 are preferably met.When satisfaction 5.0≤G3D/T3≤18.0
When, distortion can obtain obvious improvement with astigmatic image error.When meeting 3.0≤G3D/T3≤8.0, longitudinal spherical aberration can obtain compared with
It is obvious to improve.
(o) G3D/Gaa≤430 are met, 1.0≤G3D/Gaa≤430.00 are preferably met.As 30.0≤G3D/ of satisfaction
During Gaa≤430.0, distortion can obtain obvious improvement with astigmatic image error.When meeting 1.0≤G3D/Gaa≤2.4, longitudinal direction
Spherical aberration can obtain obvious improvement.
(p) G3D/ALT≤3.5 are met, 0.4≤G3D/ALT≤3.5 are preferably met.When meet 2.00≤G3D/ALT≤
When 3.5, distortion can obtain obvious improvement with astigmatic image error.When meeting 0.4≤G3D/ALT≤0.8, longitudinal spherical aberration can be obtained
Obtaining significantly improves.
(q) SL/T1≤11 are met, 3.0≤SL/T1≤11.0 are preferably met.When satisfaction 8.00≤SL/T1≤11.0
When, distortion can obtain obvious improvement with astigmatic image error.When meeting 3.0≤SL/T1≤6.0, longitudinal spherical aberration can obtain compared with
It is obvious to improve.
2nd, adjustment EFL contributes to eye regarding the expansion at visual angle, if at least one satisfied the following conditional expression, in eyepiece
When the system length of optical system 10 shortens, it may also aid in expansion eye and regard visual angle:
(a) 1.0≤EFL/ (T1+G12+T2) is met, 1.00≤EFL/ (T1+G12+T2)≤4.50 are preferably met.When
Meeting 2.0≤EFL/, (during T1+G12+T2)≤4.5, distortion can obtain obvious improvement with astigmatic image error.When meet 1.0≤
(during T1+G12+T2)≤2.0, longitudinal spherical aberration can obtain obvious improvement to EFL/.
(b) 2.0≤EFL/T1 is met, 2.00≤EFL/T1≤7.00 are preferably met.When meet 5.0≤EFL/T1≤
When 7.0, distortion can obtain obvious improvement with astigmatic image error.When meeting 2.0≤EFL/T1≤5.0, longitudinal spherical aberration can be obtained
Obtaining significantly improves.
(c) 2.5≤EFL/T2 is met, 2.50≤EFL/T2≤25.00 are preferably met.When meet 10.0≤EFL/T2≤
When 25.0, distortion can obtain obvious improvement with astigmatic image error.When meeting 2.5≤EFL/T2≤10.0, longitudinal spherical aberration can
Obtaining significantly improves.
3rd, it is distance of exit pupil ER and each parameter of optics is maintained an appropriate value, it is to avoid any parameter is excessive and is unfavorable for this
The slimming of the entirety of eyepiece optical system 10, avoids any parameter too small and influences assembling or improve the upper difficulty of manufacture
Degree, can meet at least one of following condition formulae:
(a) 0.5≤ALT/ER is met, 0.50≤ALT/ER≤3.00 are preferably met.When meet 0.5≤ALT/ER≤
When 1.5, distortion can obtain obvious improvement with astigmatic image error.When meeting 1.5≤ALT/ER≤3.0, longitudinal spherical aberration can be obtained
Obtaining significantly improves.
(b) 3.5≤TTL/ER is met, 3.50≤TTL/ER≤5.50 are preferably met.When meet 3.5≤TTL/ER≤
When 4.5, distortion can obtain obvious improvement with astigmatic image error.When meeting 4.5≤TTL/ER≤5.5, longitudinal spherical aberration can be obtained
Obtaining significantly improves.
(c) 1.1≤G3D/ER is met, 1.10≤G3D/ER≤3.50 are preferably met.When meet 2.5≤G3D/ER≤
When 3.5, distortion can obtain obvious improvement with astigmatic image error.When meeting 1.1≤G3D/ER≤2.0, longitudinal spherical aberration can be obtained
Obtaining significantly improves.
(d) ER/T1≤2.3 are met, 0.50≤ER/T1≤2.30 are preferably met.When satisfaction 1.5≤ER/T1≤2.3
When, distortion can obtain obvious improvement with astigmatic image error.When meeting 0.5≤ER/T1≤1.2, longitudinal spherical aberration can obtain compared with
It is obvious to improve.
(e) ER/T2≤8 are met, 0.60≤ER/T2≤8.00 are preferably met.When meeting 2.5≤ER/T2≤8.0,
Distortion can obtain obvious improvement with astigmatic image error.When meeting 0.6≤ER/T2≤2.5, longitudinal spherical aberration can obtain more apparent
Improvement.
(f) 2≤ER/T3 is met, 2.00≤ER/T3≤7.00 are preferably met.When meeting 2.0≤ER/T3≤6.0,
Distortion can obtain obvious improvement with astigmatic image error.When meeting 2.5≤ER/T3≤5.0, longitudinal spherical aberration can obtain more apparent
Improvement.
(g) EFL/ER≤4.5 are met, 2.00≤EFL/ER≤4.50 are preferably met.When meet 3.5≤EFL/ER≤
When 4.5, longitudinal spherical aberration can obtain obvious improvement.
4th, by limitation EPSD and each optical parametric size relation so that half will not too small and vision depending on visual angle
It is narrow:
(a) DLD/EPSD≤36 are met, 20.0≤DLD/EPSD≤36.00 are preferably met.As 20.0≤DLD/ of satisfaction
During EPSD≤28.0, distortion can obtain obvious improvement with astigmatic image error.When meeting 22.0≤DLD/EPSD≤36.0, indulge
Obvious improvement can be obtained to spherical aberration.In addition, when meeting 6≤0.5DLD/EPSD≤20, also can obviously improve aberration.
(b) DLD/G3D≤5 are met, 1.30≤DLD/G3D≤5.00 are preferably met.When meet 1.3≤DLD/G3D≤
When 2.2, distortion can obtain obvious improvement with astigmatic image error.When meeting 3.3≤DLD/G3D≤5.0, longitudinal spherical aberration can be obtained
Obtaining significantly improves.
(c) EFL/DLD≤0.8 is met, 0.6≤EFL/DLD≤0.80 is preferably met.As 0.65≤EFL/DLD of satisfaction
When≤0.75, longitudinal spherical aberration can obtain obvious improvement.
5th, when eyepiece optical system 10 meets the conditional of f2/f1≤15, be conducive to correcting the first lens 3 in the second lens 4
Aberration under the conditions of not excessively influence eyepiece optical system 10 EFL or image magnification, preferably meet (- 3)≤f2/f1≤
15, to avoid the too small aberration for being not enough to correct the first lens 3 of the refractive index of the second lens 4.When meet (- 3.0)≤f2/f1≤
When 3.0, distortion can obtain obvious improvement with astigmatic image error.When meeting 3.0≤f2/f1≤15.0, longitudinal spherical aberration can be obtained
Obtaining significantly improves.
6th, 250mm is the distance of distinct vision of young people, i.e., young eye can understand the nearest distance focused on, then be
The magnifying power of system can be similar to 250 millimeters (mm) and G3D ratio, therefore when system meets 250mm/G3D≤25 so that it is
System magnifying power will not it is excessive and increase lens thickness with manufacture degree of difficulty.If further meeting 2.5≤250mm/G3D≤25,
So that G3D will not long and image system length.When meeting 2.5≤250mm/G3D≤10.0, distortion can be obtained with astigmatic image error
Significantly improve.When meeting 10.0≤250mm/G3D≤25.0, longitudinal spherical aberration can obtain obvious improvement.
7th, under at least one satisfied the following conditional expression, the definition of object local tomography can effectively be strengthened,
And can effectively correct the aberration of object local tomography:
(a) ν 2 of 0.8≤ν 1/ are met, the ν 2≤3.0 of 0.80≤ν 1/ are preferably met.When meeting 0.8≤ν, 1/ ν 2≤1.2,
Longitudinal spherical aberration can obtain obvious improvement.
(b) for second embodiment, when both ︱≤20 of ︱ ν 1- ν 2 and ︱≤5 of ︱ ν 1- ν 3 meet, thing can effectively be corrected
The aberration of body local tomography., can be effective when both ︱≤5 of ︱ ν 1- ν 2 and ︱≤20 of ︱ ν 1- ν 3 meet for other embodiment
Correct the aberration of object local tomography.
8th, when system meets 40 °≤ω, observer can be made to have more feeling of immersion.
If the 9, system can meet at least one of following condition formulae:0.69≦(ER+G12+T3)/T1≦2.09、
0.79≦(ER+G12+T3)/T2≦3.25、0.99≦(ER+G12+T3)/G23≦16.16、0.38≦(ER+G12+T3)/G3D
≦1.02、1.27≦(ER+G12+G3D)/T1≦7.19、1.71≦(ER+G12+G3D)/T2≦11.19、1.81≦(ER+G12
+G3D)/Gaa≦49.2、1.03≦(ER+T2+T3)/T1≦2.72、0.49≦(ER+T2+T3)/G3D≦1.71、1.84≦
(ER+T3+G3D)/T2≦11.72、0.7≦(ER+G23+ALT)/G3D≦3.82、0.43≦(ER+T2+Gaa)/G3D≦2.23
And 0.7≤(ER+TL)/G3D≤3.82, then distance of exit pupil is maintained an appropriate value with each parameter of optics, it is to avoid any parameter mistake
Be unfavorable for the eyepiece optical system 10 greatly far or too closely causes eyes uncomfortable very much from eye distance, or avoids any parameter mistake
It is small and influence assembling or improve the upper degree of difficulty of manufacture.
If the ten, system can meet at least one of following condition formulae:1.06≦(ER+G12+T3)/T1≦2.77、
0.79≦(ER+G12+T3)/T2≦11.05、1.63≦(ER+G12+T3)/G23≦55.25、0.38≦(ER+G12+T3)/
G3D≦0.83、2.08≦(ER+G12+G3D)/T1≦7.19、1.71≦(ER+G12+G3D)/T2≦27.55、3.49≦(ER+
G12+G3D)/Gaa≦110.2、2.1≦(ER+T2+T3)/T1≦3、1.84≦(ER+T3+G3D)/T2≦31、0.7≦(ER+
G23+ALT)/G3D≤2.87,0.43≤(ER+T2+Gaa)/G3D≤2.05 and 0.7≤(ER+TL)/G3D≤2.87, then favorably
In the reduction curvature of field.
If 11, system can meet at least one of following condition formulae:2.08≦(ER+G12+T3)/T1≦2.77、
3.24≦(ER+G12+T3)/T2≦11.05、16.15≦(ER+G12+T3)/G23≦55.25、0.38≦(ER+G12+T3)/
G3D≦0.56、6.88≦(ER+G12+G3D)/T1≦7.19、11.18≦(ER+G12+G3D)/T2≦27.55、49.19≦
(ER+G12+G3D)/Gaa≦110.2、2.71≦(ER+T2+T3)/T1≦3、0.49≦(ER+T2+T3)/G3D≦0.6、
11.71≦(ER+T3+G3D)/T2≦31、0.7≦(ER+G23+ALT)/G3D≦0.81、0.43≦(ER+T2+Gaa)/G3D≦
0.46 and 0.7≤(ER+TL)/G3D≤0.82, then advantageously reduce longitudinal spherical aberration.
If 12, system can meet at least one of following condition formulae:1.1≦TTL/EFL≦1.29、1.34≦
SL/EFL≤1.63,1.35≤DLD/EFL≤1.47 and 1.2≤(T1+G23)/T2≤6.06, then can be such that EFL or optics respectively joins
Number maintains an appropriate value, it is to avoid any parameter is excessive and is unfavorable for the amendment of the aberration of the entirety of eyepiece optical system 10, or
Avoid any parameter too small and influence assembling or improve the upper degree of difficulty of manufacture.When meet 1.2≤TTL/EFL≤1.29,
At least one of 1.43≤SL/EFL≤1.63,1.29≤DLD/EFL≤1.47 and 1.2≤(T1+G23)/T2≤4.2
When, then advantageously reduce the curvature of field.When meeting 1.75≤(T1+G23)/T2≤4.2, then longitudinal spherical aberration is advantageously reduced.
However, in view of the unpredictability of Optical System Design, under the framework of embodiments of the invention, meeting
Conditional energy is stated it is preferable that the system length of embodiments of the invention shortens, can increased with aperture, eye regards visual angle increase, ER>
8mm, image quality lifting, or assemble Yield lmproved and improve the shortcoming of prior art.
In summary, the eyepiece optical system 10 of embodiments of the invention can obtain following effects and advantage:
First, the longitudinal spherical aberration of various embodiments of the present invention, the curvature of field, distortion all meet operating specification.In addition, 450 nanometers, 540
Nanometer and 630 nanometers, or 486 nanometers, 587 nanometers and 656 nanometers three kinds represent wavelength and all collect in the Off-axis-light of different height
In near imaging point, can be seen that the imaging point deviation of the Off-axis-light of different height is all obtained by the skewness magnitude level of each curve
Control and there is good spherical aberration, aberration, distortion rejection ability.Further regard to image quality data, 450 nanometers, 540 nanometers
And 630 nanometers, or 486 nanometers, 587 nanometers and 656 nanometers three kinds to represent the distance of wavelength to each other also fairly close, display this
Centrality of the embodiment of invention under various regimes to different wave length light is good and has excellent dispersion rejection ability, therefore thoroughly
Cross it is above-mentioned understand embodiments of the invention possess favorable optical performance.
2nd, the display side 42 that the first lens 3 have positive refractive index, the second lens 4 has positioned at optical axis I near zones
The mesh side 51 of the lens 5 of convex surface part 421 and the 3rd has the convex surface part 511 positioned at optical axis I near zones, the second lens 4 of arranging in pairs or groups
Mesh side 41 have positioned at optical axis I near zones the lens 4 of convex surface part 411 or second mesh side 41 have be located at circumference it is attached
The convex surface part 413 of near field, then advantageously reduce the curvature of field.Or, select the display side 42 of the second lens 4 to have and be located at optical axis
The mesh side 51 of the lens 5 of convex surface part 421 and the 3rd of I near zones has convex surface part 511 and position positioned at circumference near zone
In the convex surface part 513 of circumference near zone, the display side 52 that the 3rd lens 5 of collocation have negative refractive index, the 3rd lens 5 has
Display side 52 positioned at the lens 5 of concave part 522 or the 3rd of optical axis I near zones has positioned at the concave surface of circumference near zone
The grade face of portion 524 shape feature can also advantageously reduce the curvature of field.The mesh side 41 of second lens 4 has positioned at optical axis I near zones
Convex surface part 411, the mesh side 51 of the 3rd lens 5 have the aobvious of the lens 5 of convex surface part 511 and the 3rd positioned at optical axis I near zones
Show that side 52 has and be located at circumference near zone concave part 524, the second lens 4 of collocation have positive refractive index, the second lens 4 it is aobvious
Show that side 42 has the display side 42 of the convex surface part 421 for being located at optical axis I near zones, the second lens 4 attached with circumference is located at
The lens 5 of convex surface part 423 or the 3rd of near field have negative refractive index, then advantageously reduce distortion.
3rd, the mesh side 31 of the first lens 3 has the concave part 312 positioned at optical axis I near zones, the 3rd lens 5 of arranging in pairs or groups
Display side 52 have positioned at circumference near zone convex surface part 523, then advantageously reduce the curvature of field.The mesh side of first lens 3
Face 31 has the concave part 312 positioned at optical axis I near zones, and the mesh side 41 for the second lens 4 of arranging in pairs or groups, which has, to be located near circumference
The mesh side 51 of the lens 5 of concave part 414 or the 3rd in region has the convex surface part 511 positioned at optical axis I near zones, then is conducive to
Reduce longitudinal spherical aberration.The mesh side 31 of first lens 3 has the concave part 312 positioned at optical axis I near zones, the first lens of arranging in pairs or groups
3 mesh side 31 has has negative refractive index, the second lens 4 positioned at the convex surface part 313 of circumference near zone, the second lens 4
Mesh side 41 has the mesh of concave part 412, the 3rd lens 5 with positive refractive index or the 3rd lens 5 positioned at optical axis I near zones
51 there is the grade of the convex surface part 513 face shape feature positioned at circumference near zone to be conducive to imaging light to enter eye imaging sideways.
4th, the display side 42 of the second lens 4 has the second lens 4 of collocation of concave part 422 positioned at optical axis I near zones
With positive refractive index, then distortion is advantageously reduced.The display side 42 of second lens 4 has positioned at the recessed of optical axis I near zones
There are the 3rd lens 5 of collocation of convex surface part 411 positioned at optical axis I near zones to have for the mesh side 41 of the lens 4 of face 422 and second
The mesh side 51 of negative refractive index or the 3rd lens 5 has the concave part 514 positioned at circumference near zone, then advantageously reduces longitudinal direction
Spherical aberration.Mesh side 41 with the second lens 4 has the convex surface part 411 for being located at optical axis I near zones, the display of the second lens 4
The 42 mesh sides 41 with the lens 5 of concave part 422 and the 3rd positioned at optical axis I near zones have near optical axis I sideways
The feature of the concave part 512 in region, or the side of the mesh with the second lens 4 41 have the convex surface part positioned at optical axis I near zones
411st, the mesh side 51 of the 3rd lens 5 has the display side of the lens 5 of concave part 512 and the 3rd positioned at optical axis I near zones
52 have the feature of the convex surface part 521 positioned at optical axis I near zones, then advantageously reduce the curvature of field.
5th, in addition, any combination relation increase system limitation of another optional embodiment parameter, implements in favor of of the invention
The system design of example same architecture.In view of the unpredictability of Optical System Design, embodiments of the invention framework it
Under, meet above-mentioned condition formula energy it is preferable that the system length of embodiments of the invention shortens, exit pupil diameter increases, image quality
Lifting, or assemble Yield lmproved and improve the shortcoming of prior art.
6th, foregoing listed exemplary qualified relation formula, also can optionally merge unequal number amount and be applied to this hair
In bright implementation aspect, however it is not limited to this.When implementing the present invention, in addition to foregoing relationships, single lens can be also directed to
Or popularity for multiple lens additional designs go out other more lens concave-convex curved surface arrangement etc. thin portion structure, with strengthen
Control to systematic function and/or resolution ratio, for example, be optionally additionally formed with one on the mesh side of the first lens
Positioned at the convex surface part of optical axis near zone.It is noted that this little details need to optionally merge under the situation of Lothrus apterus
It is applied among the other embodiment of the present invention.
Although the present invention is disclosed above with embodiment, so it is not limited to the present invention, any art
Middle tool usually intellectual, without departing from the spirit and scope of the present invention, when a little change and retouching can be made, thus it is of the invention
Protection domain when being defined depending on the appended claims person of defining.
Claims (20)
1. a kind of eyepiece optical system, the eyes of observer are entered for being imaged light from display picture through the eyepiece optical system
Imaging, is mesh side towards the direction of the eyes, is display side towards the direction of the display picture, the eyepiece optical system is from the mesh
Side to the display side sequentially includes one first lens, one second lens and one the 3rd lens along an optical axis, first lens, this
Two lens and the 3rd lens each include mesh side and a display side;
First lens have refractive index;
Second lens have positive refractive index, and the display side of second lens has a concave surface for being located at optical axis near zone
Portion;And
At least one of the mesh side of 3rd lens and the display side is aspherical.
2. a kind of eyepiece optical system, the eyes of observer are entered for being imaged light from display picture through the eyepiece optical system
Imaging, is mesh side towards the direction of the eyes, is display side towards the direction of the display picture, the eyepiece optical system is from the mesh
Side to the display side sequentially includes one first lens, one second lens and one the 3rd lens along an optical axis, first lens, this
Two lens and the 3rd lens each include mesh side and a display side;
First lens have refractive index;
The mesh side of second lens has a convex surface part for being located at optical axis near zone, the display side of second lens
With a concave part for being located at optical axis near zone;And
3rd lens have a negative refractive index, and at least one of the mesh sides of the 3rd lens and the display side is non-
Sphere.
3. a kind of eyepiece optical system, the eyes of observer are entered for being imaged light from display picture through the eyepiece optical system
Imaging, is mesh side towards the direction of the eyes, is display side towards the direction of the display picture, the eyepiece optical system is from the mesh
Side to the display side sequentially includes one first lens, one second lens and one the 3rd lens along an optical axis, first lens, this
Two lens and the 3rd lens each include mesh side and a display side;
First lens have refractive index;
The mesh side of second lens has a convex surface part for being located at optical axis near zone, the display side of second lens
With a concave part for being located at optical axis near zone;And
3rd lens the mesh side have one be located at circumference near zone concave part, the 3rd lens the mesh side with
At least one of the display side is aspherical.
4. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:2.5≦250mm/
G3D≤25, wherein G3D are distance of the 3rd lens to the display picture on the optical axis.
5. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:0.5≦(T1+
G12)/T2≤4.5, wherein T1 are the thickness of first lens on the optical axis, and G12 is that first lens exist to second lens
The air gap on the optical axis, and T2 is the thickness of second lens on the optical axis.
6. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:0.5≦T1/T2≦
4, wherein T1 are the thickness of first lens on the optical axis, and T2 is the thickness of second lens on the optical axis.
7. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:2.5≦ER/T3≦
5, wherein ER for the eyes of the observer pupil to the distance of first lens on the optical axis, and T3 is the 3rd lens
Thickness on the optical axis.
8. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:0.69≦(ER+G12
+ T3)/T1≤2.09, wherein ER for the eyes of the observer pupil to the distance of first lens on the optical axis, G12
For first lens to the air gap of second lens on the optical axis, T3 is thickness of the 3rd lens on the optical axis,
And T1 is the thickness of first lens on the optical axis.
9. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:0.38≦(ER+G12
+ T3)/G3D≤1.02, wherein ER for the eyes of the observer pupil to the distance of first lens on the optical axis, G12
For first lens to the air gap of second lens on the optical axis, T3 is thickness of the 3rd lens on the optical axis,
And G3D is distance of the 3rd lens to the display picture on the optical axis.
10. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:1.3≦DLD/G3D
≤ 5, wherein DLD for the single pupil correspondence of the observer the display picture diagonal line length, and G3D be the 3rd lens to this
Distance of the display picture on the optical axis.
11. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:2.5≦TTL/(T2
+ T3)≤9, wherein TTL for first lens distance of the mesh side to the display picture on the optical axis, T2 for this second
Thickness of the lens on the optical axis, and T3 is thickness of the 3rd lens on the optical axis.
12. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:2.0≤D2/T2,
Wherein D2 is the optics effective diameter of the mesh side of second lens, and T2 is the thickness of second lens on the optical axis.
13. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:3.5≦EFL/ER
≤ 4.5, wherein EFL be the eyepiece optical system system focal length, and ER for the observer the eyes pupil to this first
Distance of the lens on the optical axis.
14. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:0.79≦(ER+
G12+T3)/T2≤3.25, wherein ER for the observer the eyes pupil to the distance of first lens on the optical axis,
G12 is first lens to the air gap of second lens on the optical axis, and T3 is thickness of the 3rd lens on the optical axis
Degree, and T2 is the thickness of second lens on the optical axis.
15. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:1.27≦(ER+
G12+G3D)/T1≤7.19, wherein ER for the observer the eyes pupil to the distance of first lens on the optical axis,
G12 is first lens to the air gap of second lens on the optical axis, and G3D is that the 3rd lens exist to the display picture
Distance on the optical axis, and T1 is the thickness of first lens on the optical axis.
16. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:3≦TTL/(G23+
T3)≤23, wherein TTL for first lens distance of the mesh side to the display picture on the optical axis, G23 for this second
The air gap of the lens to the 3rd lens on the optical axis, and T3 is thickness of the 3rd lens on the optical axis.
17. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:6.0≤D3/T3,
Wherein D3 is the optics effective diameter of the mesh side of the 3rd lens, and T3 is thickness of the 3rd lens on the optical axis.
18. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:20≦DLD/EPSD
≤ 36, wherein DLD are the diagonal line length of the display picture of the single pupil correspondence of the observer, and EPSD is being somebody's turn to do for the observer
The semidiameter of single pupil.
19. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:0.99≦(ER+
G12+T3)/G23≤16.16, wherein ER for the observer the eyes pupil to first lens on the optical axis away from
From G12 is first lens to the air gap of second lens on the optical axis, and T3 is the 3rd lens on the optical axis
Thickness, and G23 is the air gap of second lens to the 3rd lens on the optical axis.
20. claim 1, the eyepiece optical system described in 2 or 3, wherein eyepiece optical system meet:1.71≦(ER+
G12+G3D)/T2≤11.19, wherein ER for the observer the eyes pupil to first lens on the optical axis away from
From G12 is first lens to the air gap of second lens on the optical axis, and G3D is the 3rd lens to the display picture
Distance of the face on the optical axis, and T2 is the thickness of second lens on the optical axis.
Priority Applications (1)
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CN202010083639.6A CN111208640B (en) | 2016-09-19 | 2017-03-02 | Eyepiece optical system |
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US201662396242P | 2016-09-19 | 2016-09-19 | |
US62/396,242 | 2016-09-19 | ||
US15/401,120 | 2017-01-09 | ||
US15/401,120 US10606070B2 (en) | 2016-09-19 | 2017-01-09 | Ocular optical system |
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CN202010083639.6A Division CN111208640B (en) | 2016-09-19 | 2017-03-02 | Eyepiece optical system |
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CN110941082A (en) * | 2018-09-21 | 2020-03-31 | 厦门松下电子信息有限公司 | Eyepiece optical system, electronic viewfinder and image pickup device |
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Publication number | Publication date |
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TWI630435B (en) | 2018-07-21 |
TW201732347A (en) | 2017-09-16 |
CN107193121B (en) | 2020-03-17 |
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