CN111706829A - Design method of lens total reflection surface - Google Patents

Design method of lens total reflection surface Download PDF

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Publication number
CN111706829A
CN111706829A CN202010646642.4A CN202010646642A CN111706829A CN 111706829 A CN111706829 A CN 111706829A CN 202010646642 A CN202010646642 A CN 202010646642A CN 111706829 A CN111706829 A CN 111706829A
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light
point
ith
coordinates
ray
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李卓荣
黄进凯
吴世民
孙晓冰
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Shenzhen Shinland Optics Co ltd
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Shenzhen Shinland Optics Co ltd
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    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F21—LIGHTING
    • F21V—FUNCTIONAL FEATURES OR DETAILS OF LIGHTING DEVICES OR SYSTEMS THEREOF; STRUCTURAL COMBINATIONS OF LIGHTING DEVICES WITH OTHER ARTICLES, NOT OTHERWISE PROVIDED FOR
    • F21V5/00—Refractors for light sources
    • F21V5/04—Refractors for light sources of lens shape
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/0012—Optical design, e.g. procedures, algorithms, optimisation routines
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F21—LIGHTING
    • F21Y—INDEXING SCHEME ASSOCIATED WITH SUBCLASSES F21K, F21L, F21S and F21V, RELATING TO THE FORM OR THE KIND OF THE LIGHT SOURCES OR OF THE COLOUR OF THE LIGHT EMITTED
    • F21Y2115/00—Light-generating elements of semiconductor light sources
    • F21Y2115/10—Light-emitting diodes [LED]

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  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Engineering & Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • Non-Portable Lighting Devices Or Systems Thereof (AREA)

Abstract

The embodiment of the invention provides a design method of a lens total reflection surface, which comprises the following steps: dividing the emergent light of the light source into M light rays according to angles; setting the coordinate of a first point on the bus, and acquiring a tangent of the first point according to the focus coordinate and the coordinate of the first point; acquiring coordinates of an ith point and a tangent of the ith point on the bus according to the tangent of the (i-1) th point, the ith light ray and the focus coordinate; wherein M, i are all positive integers greater than 1. The embodiment of the invention provides a design method of a lens total reflection surface, which is used for reducing glare, emitting more light from a light-wearing cover and ensuring light-emitting efficiency, so that the design of a free-form surface is realized, and the design method is simple and easy to implement.

Description

Design method of lens total reflection surface
Technical Field
The invention relates to the lighting technology, in particular to a design method of a lens total reflection surface.
Background
As a new light source, LEDs have become mainstream lighting sources due to their advantages of environmental protection, high light efficiency, long life, and the like. The LED is generally a single-sided light emitting body with a light emitting angle of about 120 °, and the light emitting size is relatively concentrated, so that it is easier to achieve ideal light distribution through optical design compared to a conventional light source.
When LEDs are used as illumination light sources, unfavorable luminance distribution tends to occur in the human visual field, or extreme luminance contrast exists in the illumination space, so that visual conditions causing visual discomfort to humans and reducing visibility of objects in the illumination space, which visual phenomenon is called glare.
In order to avoid the problem of glare, glare shields are often used to reduce glare. In one case, when the depth of the entire lamp (optical member + antiglare cover) is insufficient, the antiglare effect is poor although the angle design of the lamp is easy. In another case, although the height of the lamp is increased to improve the anti-glare effect, the light with large angle in the lamp is also shielded by the anti-glare cover. When the light emitted by the light source is emitted from the bottom, the light is easily reflected at four positions in the anti-dazzle cover, so that uncontrollable stray light is generated.
Disclosure of Invention
The embodiment of the invention provides a design method of a lens total reflection surface, which is used for reducing glare, emitting more light from a light-wearing cover and ensuring light-emitting efficiency, so that the design of a free-form surface is realized, and the design method is simple and easy to implement.
The embodiment of the invention provides a design method of a total reflection surface of a lens, wherein the lens comprises a light incident surface, a light emergent surface and a side surface, and the side surface comprises the total reflection surface; the light incident surface is opposite to the light emergent surface, and the side surface is connected with the light incident surface and the light emergent surface; the light incident surface is recessed towards the main body of the lens to form an accommodating cavity, and the accommodating cavity is used for accommodating a light source; the total reflection surface includes a free-form surface configured to focus a light ray incident thereon at a focal point on an optical axis of the lens; the total reflection surface comprises a bus which rotates around the optical axis of the lens to form the total reflection surface;
the design method comprises the following steps:
dividing the emergent light of the light source into M light rays according to angles;
setting the coordinate of a first point on the bus, and acquiring a tangent of the first point according to the focus coordinate and the coordinate of the first point;
acquiring coordinates of an ith point and a tangent of the ith point on the bus according to the tangent of the (i-1) th point, the ith light ray and the focus coordinate;
wherein M, i are all positive integers greater than 1.
Optionally, before dividing the light emitted from the light source into M rays according to angles, the method includes:
and setting the refractive index of the lens, the caliber of the light-emitting surface and the focal point coordinate.
Optionally, dividing the light emitted from the light source into M light rays according to an angle includes:
and dividing the emergent light of the light source into M rays in equal angles.
Optionally, after dividing the light emitted from the light source into M light rays according to angles, the method further includes:
obtaining coordinates (Cx (i), Cy (i)) of the ith ray on the side wall of the accommodating cavity according to an included angle theta (i) between the ith ray and the light emergent surface and a draft angle alpha of the side wall of the accommodating cavity;
the drawing angle of the side wall of the accommodating cavity is an included angle between the side wall of the accommodating cavity and the optical axis of the lens;
wherein,
Figure BDA0002573295860000031
Cy(i)＝Cx(i)·tan(θ(i))。
optionally, after obtaining coordinates (cx (i), cy (i)) of the ith ray on the sidewall of the accommodating cavity according to an included angle θ (i) between the ith ray and the light exit surface and a draft angle α of the sidewall of the accommodating cavity, the method further includes:
obtaining an included angle gamma (i) between the ith light ray and the light-emitting surface after the ith light ray is refracted on the side wall of the accommodating cavity;
wherein,
Figure BDA0002573295860000032
the refractive index of the lens is n.
Optionally, obtaining the coordinate of the ith point and the tangent of the ith point on the generatrix according to the tangent of the (i-1) th point, the ith light ray and the focus coordinate, includes:
obtaining coordinates (x (i), y (i)) of an ith point on the generatrix according to a tangent line of the (i-1) th point and the ith light;
acquiring coordinates (px (i) and py (i)) of an intersection point of the ith ray and the light-emitting surface according to the focal coordinates and the coordinates of the ith point on the generatrix;
obtaining a normal vector of the ith point on the generatrix according to the coordinates (x (i), y (i)) of the ith point on the generatrix and the coordinates (px (i), py (i)) of the intersection point of the ith ray and the light-emitting surface
Figure BDA0002573295860000033
According to the normal vector of the ith point on the bus
Figure BDA0002573295860000034
Obtaining a tangent k (i) to the ith point on the generatrix.
Alternatively,
the coordinates (x (i) and y (i)) of the ith point on the generatrix satisfy:
Figure BDA0002573295860000035
y(i)＝k(i-1)·x(i)+y(i-1)-k(i-1)·x(i-1)；
wherein k (i-1) is the slope of the tangent line of the bus at the (i-1) th point.
Optionally, coordinates (px (i) of an intersection point of the ith ray and the emergent surface, py (i)) satisfy:
Figure BDA0002573295860000041
wherein the focal point coordinates are (0, H).
Optionally, a normal vector at an ith point on the bus
Figure BDA0002573295860000042
Satisfies the following conditions:
Figure BDA0002573295860000043
Figure BDA0002573295860000044
Figure BDA0002573295860000045
wherein q is the ratio of the refractive index of the medium in which the incident light is located to the refractive index of the medium in which the emergent light is located.
Optionally, a tangent k (i) of an ith point on the generatrix satisfies:
Figure BDA0002573295860000046
in an embodiment of the present invention, the side surface includes a total reflection surface including a free-form surface configured to focus the light incident thereon on a focal point of an optical axis of the lens. Because the light rays are converged on the focus, the stray light with large angle is reduced, and the glare is reduced. In the embodiment of the invention, the coordinates of the ith point and the tangent of the ith point on the bus are obtained according to the tangent of the (i-1) th point, the ith light ray and the focus coordinate, and the coordinates of M points on the bus are obtained in sequence, so that the design of the free-form surface is realized, and the design method is simple and easy to implement.
Drawings
FIG. 1 is a schematic cross-sectional view of a lens according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a reflection point on a total reflection surface of the lens shown in FIG. 1;
FIG. 3 is a flowchart illustrating a method for designing a total reflection surface of a lens according to an embodiment of the present invention;
fig. 4 is a flowchart of another method for designing a total reflection surface of a lens according to an embodiment of the present invention.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings and examples. It is to be understood that the specific embodiments described herein are merely illustrative of the invention and are not limiting of the invention. It should be further noted that, for the convenience of description, only some of the structures related to the present invention are shown in the drawings, not all of the structures.
Fig. 1 is a schematic cross-sectional structure diagram of a lens according to an embodiment of the present invention, and referring to fig. 1 and fig. 2, a lens 10 includes a light incident surface 11, a light emitting surface 12, and a side surface 13. The light incident surface 11 and the light emitting surface 12 face each other, and the side surface 13 connects the light incident surface 11 and the light emitting surface 12. The light incident surface 11 is recessed towards the main body of the lens to form an accommodating cavity 14, and the accommodating cavity 14 is used for accommodating a light source (not shown in the figure). The light incident surface 11 includes a top wall of the accommodating cavity 14 and a side wall of the accommodating cavity 14. The side surface 13 includes a total reflection surface including a free-form surface configured to focus light incident thereon at a focal point P4 on the optical axis L1 of the lens. The total reflection surface includes a bus bar that rotates around the optical axis L1 of the lens to form the total reflection surface.
Exemplarily, referring to fig. 1, the lens includes a first convex structure 15, and the first convex structure 15 is adjacent to the light emitting surface 12 side and convex toward a direction away from the optical axis L1 of the lens, i.e., the first convex structure 15 is convex outward at the side surface 13.
Fig. 2 is a schematic diagram of a reflection point on the total reflection surface of the lens shown in fig. 1, and referring to fig. 1 and fig. 2, the ith point on the bus is point P2, and the i-1 th point on the bus is point P5, since the distance between the point P2 and the point P5 on the bus is short, the point P2 and the point P5 can be approximately regarded as being in the same plane, so the point P2 is located on the tangent line L2 at the position of the point P5, that is, the ith point on the bus is located on the tangent line at the position of the i-1 th point on the bus.
Fig. 3 is a flowchart of a method for designing a total reflection surface of a lens according to an embodiment of the present invention, and referring to fig. 1 to 3, the method for designing a total reflection surface of a lens includes the following steps:
s101, dividing light emitted by a light source into M light rays according to angles.
In this step, divide light source emergent light into M light according to the angle, the inclination of M light can design according to certain law. The angle θ (i) between the ith light ray and the light emitting surface 12. In some possible embodiments, the inclination angles of the M light rays may satisfy: the angular difference between adjacent two of θ (1) to θ (M) is the same. In other possible embodiments, the inclination angles of the M light rays may satisfy: the angular differences between two adjacent ones of theta (1) to theta (M) increase in order according to an arithmetic progression. In other possible embodiments, the inclination angles of the M light rays may satisfy: the angular difference between two adjacent ones of theta (1) to theta (M) increases in order of an equal ratio series.
Wherein M is a positive integer greater than 1.
S102, setting the coordinate of a first point on the bus, and obtaining a tangent of the first point according to the focus coordinate and the coordinate of the first point.
In this step, the coordinates of the first point on the busbar, i.e. the coordinates of the first point on the given busbar, are set. For example, the point P6 is set as the coordinate of the first point, and the coordinate of the point P6 is (a1+ a2, 0).
S103, obtaining the coordinates of the ith point and the tangent of the ith point on the generatrix according to the tangent of the (i-1) th point, the ith ray and the focus coordinate.
In this step, in an exemplary embodiment, based on a given first point, the coordinates of a second point on the bus are obtained through the intersection point of the tangent line at the first point position and the second light ray, the coordinates of a third point on the bus are obtained through the intersection point of the tangent line at the second point position and the third light ray, and so on until the mth point on the bus corresponding to the mth light ray is obtained.
Wherein i is a positive integer greater than 1.
In an embodiment of the present invention, the side surface includes a total reflection surface including a free-form surface configured to focus the light incident thereon on a focal point of an optical axis of the lens. Because the light rays are converged on the focus, the stray light with large angle is reduced, and the glare is reduced. In the embodiment of the invention, the coordinates of the ith point and the tangent of the ith point on the bus are obtained according to the tangent of the (i-1) th point, the ith light ray and the focus coordinate, and the coordinates of M points on the bus are obtained in sequence, so that the design of the free-form surface is realized, and the design method is simple and easy to implement.
Fig. 4 is a flowchart of a method for designing a total reflection surface of a lens according to an embodiment of the present invention, and referring to fig. 1, fig. 2, and fig. 4 in combination, the method for designing a total reflection surface of a lens includes the following steps:
s201, setting the refractive index of the lens, the caliber of the light-emitting surface and the focal point coordinate.
In this step, the refractive index n of the material used for the lens, the diameter D of the light emitting surface 12 of the lens (for example, the diameter D of the light emitting surface 12 of the lens is the diameter of the light emitting surface 12), and the focal coordinates are (0, H). The aperture D of the light exit surface 12 of the lens is not artificially defined, but is limited to a free-form surface algorithm, and the aperture D is a passively determined size.
For example, a draft angle α of the sidewall of the accommodating cavity 14, an included angle θ (i) between the ith light ray and the light-emitting surface, an opening radius a2 of the bottom (i.e., the inner core) of the accommodating cavity 14, a distance a1 between the bottom of the accommodating cavity 14 and the bottom of the side 13, a thickness d of the first protrusion structure 15 along the optical axis L1, and an included angle γ (i) between the ith light ray and the light-emitting surface after being refracted by the sidewall of the accommodating cavity 14 may also be defined. The thickness d is present for lens manufacturing considerations, and the first protrusion structure 15 is useful for simplifying lens manufacturing and for fixedly connecting the lens with other components in the lamp. Generally, d.gtoreq.1.5 mm can be set. For simplicity and representativeness, θ (i) in each embodiment of the present invention is illustrated as "θ" in each drawing of the present invention, and similarly, γ (i) in each embodiment of the present invention is illustrated as "γ" in each drawing of the present invention, and other similar reference numerals should be understood as the same as those in the drawings, and are not described again.
S202, dividing the light emitted by the light source into M light rays in equal angles.
In this step, the inclination of M light can satisfy: the angle difference between two adjacent lenses theta (1) to theta (M) is the same, so that the design difficulty of the total reflection surface of the lens is reduced.
S203, obtaining coordinates (Cx (i) and Cy (i)) of the ith ray on the side wall of the accommodating cavity 14 according to an included angle theta (i) between the ith ray and the light-emitting surface 12 and a draft angle alpha of the side wall of the accommodating cavity 14.
In this step, the ith ray emitted by the light source is exemplarily irradiated on a point P1 on the sidewall of the accommodating chamber 14, and the coordinates of the point P1 are (cx (i), cy (i)). The side wall of the receiving chamber 14 refers to a side surface of the receiving chamber 14 adjacent to the side 13.
Wherein, the draft angle of the side wall of the accommodating cavity 14 is the included angle between the side wall of the accommodating cavity 14 and the optical axis L1 of the lens.
Wherein,
Figure BDA0002573295860000081
Cy(i)＝Cx(i)·tan(θ(i))。
and S204, obtaining an included angle gamma (i) between the ith light ray and the light-emitting surface after the ith light ray is refracted at the side wall of the accommodating cavity 14.
In this step, for example, the ith light emitted from the source irradiates on the side wall of the accommodating cavity 14 at the point P1, is refracted at the point P1, and then enters into the lens body, and after being refracted at the side wall of the accommodating cavity 14, the ith light forms an included angle γ (i) with the light exit surface, where γ (i) satisfies:
Figure BDA0002573295860000082
the refractive index of the lens is n.
S205, obtaining coordinates (x (i), y (i)) of an ith point on the generatrix according to the tangent of the (i-1) th point and the ith light ray.
In this step, the ith light beam emitted by the source is exemplarily irradiated at the point P1 on the side wall of the accommodating chamber 14, refracted at the point P1, and then entered into the lens body, and the ith light beam is irradiated at the point P2 on the total reflection surface (generatrix). The coordinates (x (i) and y (i)) of the ith point on the generatrix satisfy:
Figure BDA0002573295860000083
y(i)＝k(i-1)·x(i)+y(i-1)-k(i-1)·x(i-1)；
wherein k (i-1) is the slope of the tangent line of the generatrix at the (i-1) th point.
S206, acquiring coordinates (px (i), py (i)) of an intersection point of the ith ray and the light-emitting surface 12 according to the coordinates of the focus point P4 and the coordinates of the ith point on the bus.
In this step, for example, the ith light beam emitted by the source irradiates on the side wall of the accommodating cavity 14 at the point P1, is refracted at the point P1, and then enters into the lens body, the ith light beam irradiates on the total reflection surface (bus) at the point P2, and after total reflection at the point P2, irradiates on the light exit surface 12 at the point P3, and the coordinates of the point P3 are (px (i), py (i)). The light rays are then focused at a focal point P4.
The coordinates (px (i) of the intersection point of the ith ray and the emergent surface 12, py (i)) satisfy:
Figure BDA0002573295860000091
the focal point P4 is (0, H) in coordinate.
Illustratively, the light emitting surface 12 is a plane, and the ordinate at any position of the light emitting surface 12 is h, that is, py (i) is always h when i changes. In other embodiments, py (i) may also change the magnitude when i changes, which is not limited in the embodiments of the present invention.
S207, obtaining a normal vector of the ith point on the generatrix according to the coordinates (x (i), y (i)) of the ith point on the generatrix and the coordinates (px (i), py (i)) of the intersection point of the ith ray and the light-emitting surface 12
Figure BDA0002573295860000092
In this step, illustratively, the normal vector at the ith point on the bus
Figure BDA0002573295860000093
Satisfies the following conditions:
Figure BDA0002573295860000094
Figure BDA0002573295860000095
Figure BDA0002573295860000096
wherein,
Figure BDA0002573295860000097
is the unit normal vector at the ith point,
Figure BDA0002573295860000098
is the unit vector of the light reflected by the free-form surface (generatrix),
Figure BDA0002573295860000101
the unit vector of the light incident to the free-form surface (generatrix), that is,
Figure BDA0002573295860000102
the unit vector of the light passing through the sidewall of the accommodating cavity 14, q is the ratio of the refractive index of the medium in which the incident light is located to the refractive index of the medium in which the emergent light is located, and q is 1 because the incident light and the emergent light are in the same medium (lens) in the embodiment of the present invention.
In the step, after px (i) and py (i) are obtained, coordinates (x (i), y (i)) on the free-form surface (bus) are corresponding to coordinates (px (i), py (i)) of the light-emitting plane through a vector formula of a refraction law, and a normal vector of the free-form surface (bus) at the ith point position is obtained
Figure BDA0002573295860000103
S208, according to the normal vector of the ith point on the bus
Figure BDA0002573295860000104
To obtainTangent k (i) to the ith point on the generatrix.
In this step, for example, the tangent k (i) at the ith point on the line satisfies:
Figure BDA0002573295860000105
it should be noted that, in the above embodiments, the ith light ray is used for colloquially and generally explaining, and specifically, the ith light ray may be: on the basis of a given first point, acquiring coordinates of a second point on a bus through an intersection point of a tangent line at the position of the first point and a second ray, acquiring a normal vector at the position of the second point by combining the coordinates of a focus, and acquiring the tangent line at the position of the second point according to the normal vector at the position of the second point; and then acquiring the coordinate of a third point on the bus through the intersection point of the tangent line at the second point position and the third light ray, acquiring a normal vector at the third point position by combining the focal point coordinate, acquiring the tangent line at the third point position according to the normal vector at the third point position, … …, and so on until acquiring the coordinate of the Mth point on the bus corresponding to the Mth light ray. Therefore, the coordinate values of all points on the generatrix of the free-form surface are obtained, and the free-form surface can be obtained according to the coordinate values of the M points.
It is to be noted that the foregoing is only illustrative of the preferred embodiments of the present invention and the technical principles employed. It will be understood by those skilled in the art that the present invention is not limited to the particular embodiments described herein, but is capable of various obvious modifications, rearrangements, combinations and substitutions as will now become apparent to those skilled in the art without departing from the scope of the invention. Therefore, although the present invention has been described in greater detail by the above embodiments, the present invention is not limited to the above embodiments, and may include other equivalent embodiments without departing from the spirit of the present invention, and the scope of the present invention is determined by the scope of the appended claims.

Claims (10)

1. The design method of the total reflection surface of the lens is characterized in that the lens comprises a light incidence surface, a light emergence surface and a side surface, wherein the side surface comprises the total reflection surface; the light incident surface is opposite to the light emergent surface, and the side surface is connected with the light incident surface and the light emergent surface; the light incident surface is recessed towards the main body of the lens to form an accommodating cavity, and the accommodating cavity is used for accommodating a light source; the total reflection surface includes a free-form surface configured to focus a light ray incident thereon at a focal point on an optical axis of the lens; the total reflection surface comprises a bus which rotates around the optical axis of the lens to form the total reflection surface;
the design method comprises the following steps:
dividing the emergent light of the light source into M light rays according to angles;
setting the coordinate of a first point on the bus, and acquiring a tangent of the first point according to the focus coordinate and the coordinate of the first point;
acquiring coordinates of an ith point and a tangent of the ith point on the bus according to the tangent of the (i-1) th point, the ith light ray and the focus coordinate;
wherein M, i are all positive integers greater than 1.
2. The design method of claim 1, before angularly dividing the light from the light source into M rays, comprising:
and setting the refractive index of the lens, the caliber of the light-emitting surface and the focal point coordinate.
3. The design method of claim 1, wherein dividing the light from the light source into M rays according to angle comprises:
and dividing the emergent light of the light source into M rays in equal angles.
4. The design method of claim 1, further comprising, after dividing the light from the light source into M rays according to angle:
obtaining coordinates (Cx (i), Cy (i)) of the ith ray on the side wall of the accommodating cavity according to an included angle theta (i) between the ith ray and the light emergent surface and a draft angle alpha of the side wall of the accommodating cavity;
the drawing angle of the side wall of the accommodating cavity is an included angle between the side wall of the accommodating cavity and the optical axis of the lens;
wherein,
Figure FDA0002573295850000021
Cy(i)＝Cx(i)·tan(θ(i))。
5. the design method of claim 4, further comprising, after obtaining coordinates (cx (i), cy (i)) of the ith ray on the sidewall of the accommodating chamber according to an included angle θ (i) between the ith ray and the light exit surface and a draft angle α of the sidewall of the accommodating chamber:
obtaining an included angle gamma (i) between the ith light ray and the light-emitting surface after the ith light ray is refracted on the side wall of the accommodating cavity;
wherein,
Figure FDA0002573295850000022
the refractive index of the lens is n.
6. The design method of claim 5, wherein obtaining coordinates of an ith point and a tangent of an ith point on the generatrix according to a tangent of an ith-1 point, an ith ray and the focal coordinates comprises:
obtaining coordinates (x (i), y (i)) of an ith point on the generatrix according to a tangent line of the (i-1) th point and the ith light;
acquiring coordinates (px (i) and py (i)) of an intersection point of the ith ray and the light-emitting surface according to the focal coordinates and the coordinates of the ith point on the generatrix;
obtaining a normal vector of the ith point on the generatrix according to the coordinates (x (i), y (i)) of the ith point on the generatrix and the coordinates (px (i), py (i)) of the intersection point of the ith ray and the light-emitting surface
Figure FDA0002573295850000023
According to the normal vector of the ith point on the bus
Figure FDA0002573295850000024
Obtaining a tangent k (i) to the ith point on the generatrix.
7. The design method according to claim 6,
the coordinates (x (i) and y (i)) of the ith point on the generatrix satisfy:
Figure FDA0002573295850000031
y(i)＝k(i-1)·x(i)+y(i-1)-k(i-1)·x(i-1)；
wherein k (i-1) is the slope of the tangent line of the bus at the (i-1) th point.
8. The design method of claim 6, wherein the coordinates (px (i), py (i)) of the intersection point of the ith ray and the light emitting surface satisfy:
Figure FDA0002573295850000032
wherein the focal point coordinates are (0, H).
9. The design method of claim 6, wherein the normal vector at the ith point on the bus
Figure FDA0002573295850000033
Satisfies the following conditions:
Figure FDA0002573295850000034
Figure FDA0002573295850000035
Figure FDA0002573295850000036
wherein q is the ratio of the refractive index of the medium in which the incident light is located to the refractive index of the medium in which the emergent light is located.
10. The design method according to claim 6, wherein the tangent k (i) of the ith point on the generatrix satisfies:
Figure FDA0002573295850000037
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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20120140482A1 (en) * 2009-08-24 2012-06-07 Panasonic Corporation Lens and semiconductor light-emitting element module using same
CN103017086A (en) * 2012-12-18 2013-04-03 东莞勤上光电股份有限公司 Design method of LED (Light Emitting Diode) collimating lens
CN103162240A (en) * 2011-12-12 2013-06-19 西安真核医疗科技有限公司 Novel light emitting diode (LED) optical element used for operation
CN106764937A (en) * 2015-12-30 2017-05-31 佛山市中山大学研究院 A kind of convergence optical lens with dentalation
CN108227298A (en) * 2017-12-28 2018-06-29 重庆秉为科技有限公司 Lighting design method based on liquid crystal display expansion light source

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20120140482A1 (en) * 2009-08-24 2012-06-07 Panasonic Corporation Lens and semiconductor light-emitting element module using same
CN103162240A (en) * 2011-12-12 2013-06-19 西安真核医疗科技有限公司 Novel light emitting diode (LED) optical element used for operation
CN103017086A (en) * 2012-12-18 2013-04-03 东莞勤上光电股份有限公司 Design method of LED (Light Emitting Diode) collimating lens
CN106764937A (en) * 2015-12-30 2017-05-31 佛山市中山大学研究院 A kind of convergence optical lens with dentalation
CN108227298A (en) * 2017-12-28 2018-06-29 重庆秉为科技有限公司 Lighting design method based on liquid crystal display expansion light source

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