CN114153075B - Natural light homogenizing lighting device and method for single plane and free curved surface or sawtooth grating - Google Patents
Natural light homogenizing lighting device and method for single plane and free curved surface or sawtooth grating Download PDFInfo
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- CN114153075B CN114153075B CN202210027596.9A CN202210027596A CN114153075B CN 114153075 B CN114153075 B CN 114153075B CN 202210027596 A CN202210027596 A CN 202210027596A CN 114153075 B CN114153075 B CN 114153075B
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- 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
- G02B27/09—Beam shaping, e.g. changing the cross-sectional area, not otherwise provided for
- G02B27/0938—Using specific optical elements
- G02B27/095—Refractive optical elements
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F21—LIGHTING
- F21S—NON-PORTABLE LIGHTING DEVICES; SYSTEMS THEREOF; VEHICLE LIGHTING DEVICES SPECIALLY ADAPTED FOR VEHICLE EXTERIORS
- F21S11/00—Non-electric lighting devices or systems using daylight
- F21S11/007—Non-electric lighting devices or systems using daylight characterised by the means for transmitting light into the interior of a building
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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
- F21V13/00—Producing particular characteristics or distribution of the light emitted by means of a combination of elements specified in two or more of main groups F21V1/00 - F21V11/00
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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
- F21V5/002—Refractors for light sources using microoptical elements for redirecting or diffusing light
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E10/00—Energy generation through renewable energy sources
- Y02E10/50—Photovoltaic [PV] energy
- Y02E10/52—PV systems with concentrators
Abstract
The invention discloses a natural light homogenizing lighting device and a natural light homogenizing lighting method for a single plane, a free curved surface or a sawtooth grating, which can be used for lighting curtains, indoor blinds, window glass and the like. The surface structure comprises a front surface and a rear surface which are in an array form, wherein the first surface is a single plane, and the second surface is a free-form surface array or a sawtooth surface array; the single plane is used for collecting outdoor natural light and is conducted to the free-form surface array or the sawtooth surface array through an intermediate medium with the same material between the two surfaces; the free-form surface array or the sawtooth surface array is used for deflecting incident natural light to the indoor space after being refracted by the inclined surface. The invention can efficiently collect natural light entering the window, uniformly disperse the light to all directions in the room, homogenize indoor illumination, effectively protect indoor privacy, is light, thin and easy to produce in mass production, and is environment-friendly and pollution-free.
Description
Technical Field
The invention belongs to the field of lighting system design and beam shaping, and relates to a device and a method for shaping natural light. By the designed single-chip natural light homogenizing lighting device, natural light incident from a window in the daytime can be uniformly dispersed to all corners in a room, indoor lighting is performed by fully utilizing the natural light, energy is saved, emission is reduced, and the energy utilization rate is improved; and the device is light, thin, easy to produce in mass, environment-friendly and pollution-free, and can be used as illumination curtains, indoor blinds, window glass and the like.
Background
The research and development of natural light illumination technology in China starts in the twentieth century and seventies, and the green energy concept of natural light illumination gradually enters the public view since the green illumination engineering in 1996 is popularized, so that people have deeper understanding on a natural light acquisition illumination system along with the continuous deep research of solar energy illumination technology. As natural resources such as petroleum and coal are gradually depleted, research on solar energy is increasingly developed, and the disadvantage of the solar energy application technology is that the conversion efficiency of solar energy is low, but compared with other traditional energy conversion modes, the cost is much higher, so that the improvement of the solar energy utilization efficiency and the reduction of the solar energy conversion cost are important targets in recent research.
In order to improve the utilization efficiency of sunlight, one method is to use a solar collector combined with a light guide assembly module to guide the sunlight to a solar cell or a heat conduction assembly through the guide of the light guide assembly, so as to increase the collection efficiency of the sunlight and further improve the production efficiency of the solar energy conversion device. Known solar energy conversion devices require passing through a solar collector to concentrate incident sunlight to multiple focal points on the light exit side for use with a solar cell or heat conduction assembly. However, the focal length of the converging light causes a huge volume of the known solar energy conversion device, and the large-volume solar energy conversion device not only needs to consume higher manufacturing and material cost and is difficult to precisely move and control the sun to track, but also needs a large-area installation area, so that the light guide tube occupying the main stream of the market at present has low efficiency and poor lighting uniformity, and the original building structure is possibly damaged in the installation process, thereby being unfavorable for popularization.
Therefore, how to perform efficient solar lighting without changing the original building structure is a problem to be solved by those skilled in the art.
Disclosure of Invention
The following presents a simplified summary of the invention in order to provide a basic understanding of some aspects of the invention. It should be understood that this summary is not an exhaustive overview of the invention. It is not intended to identify key or critical elements of the invention or to delineate the scope of the invention. Its purpose is to present some concepts in a simplified form as a prelude to the more detailed description that is discussed later.
In view of the above, the invention provides a single-chip natural light homogenizing lighting device and a single-chip natural light homogenizing lighting method based on a single plane and a free curved surface or a sawtooth grating, which can uniformly disperse natural light incident from a window in the daytime to all corners in a room, fully utilizes the natural light to perform indoor lighting, saves energy, reduces emission and improves the energy utilization rate.
In order to achieve the above purpose, the present invention adopts the following technical scheme:
the single-piece natural light homogenizing lighting device comprises a front surface and a rear surface which are in an array form, wherein the first surface is a single plane, and the second surface is a free-form surface array or a sawtooth surface array; the single plane is used for collecting outdoor natural light and is conducted to the free-form surface array or the sawtooth surface array through an intermediate medium with the same material between the two surfaces; the free-form surface array or the sawtooth surface array is used for deflecting incident natural light to the indoor space after being refracted by the inclined surface.
Preferably, the freeform surface array imparts phase modulation to incident light
Can be expressed as
x and y are the positions of the incident wave front of the free-form surface array, f is the equivalent lens focal length in the free-form surface array, lambda is the natural light center wavelength, theta 1 The incidence angle of the incident light on the free-form surface; the saw tooth surface array being phase modulated with respect to the incident light>
Can be expressed as +.>
Lambda is the center wavelength of natural light, y is the position of the incident wavefront of the saw tooth surface array, theta 1 Is the angle of incidence of the incident light on the sawtooth surface.
Preferably, the single plane faces the incidence direction of the natural light, and the normal line of the single plane mirror surface forms an acute angle with the incident natural light.
Preferably, the lens of the free-form surface array is in the form of a convex free-form surface or a concave free-form surface, and the thickness d of the convex free-form surface at different positions x and y 1 The expression is
n is refractive index, θ is inclination angle of the convex free-form surface, r is radius of the convex free-form surface, and radius of the curved surface is 1-5 times of minimum distance between the plane and the convex free-form surface; thickness d of different positions (x, y) on the concave free-form surface 2 The expression is
n is refractive index, θ is inclination angle of the concave free-form surface, r is curved surface radius of the concave free-form surface, and the curved surface radius is 1-5 times of minimum distance between the plane and the concave free-form surface.
Preferably, the thickness d of the individual structural units of the saw tooth surface array at different positions (x, y) 3 The expression is
θ is the sawtooth tilt angle, n is the refractive index.
Preferably, the free-form surface array or the saw-tooth surface array refracts the light rays in the horizontal direction by refraction, and the inclination angle is 20-70 degrees.
Preferably, the monolithic device material is a high transmittance material with a transmittance of 85% or more, including but not limited to glass, resin, and transparent plastic.
Preferably, the front and back surface arrays are square full aperture arrays with a high fill rate of 95% or more.
The natural light homogenizing illumination method for the monoplane and the free-form surface/sawtooth grating comprises the following steps:
outdoor natural light is collected through a single plane and is conducted to a free-form surface array or a saw-tooth surface array through an intermediate medium with the same material between two sides;
the free-form surface array or the saw-tooth surface array deflects incident natural light to the indoor space after being refracted by the inclined surface.
The beneficial effects are that:
the invention provides a single-chip natural light homogenizing and illuminating device and method based on a single plane and a free-form surface/sawtooth grating, which can efficiently collect natural light entering a window, uniformly disperse the light to all directions in a room, homogenize indoor illumination, fully utilize the natural light for indoor illumination, save energy, reduce emission and improve energy utilization rate. And because of adopting a single plane and free curved surface or sawtooth grating combined structure, the symmetry of light transmission is broken, and the indoor privacy can be effectively protected. The device is in a single-piece form, is light, thin and easy to produce in mass, has various material choices, is environment-friendly and pollution-free, can replace illumination curtains, indoor blinds, window glass and the like, and obtains better indoor illumination effect.
Drawings
Fig. 1 is a schematic structural diagram of a single-chip natural light homogenizing lighting device based on combination of a single plane and a convex free-form surface according to embodiment 1 of the present invention.
In the figure: after the outdoor high-angle natural light passes through the device, the outdoor high-angle natural light is horizontally dispersed into an indoor space;
fig. 2 is a simulation effect diagram of a single-chip natural light homogenizing lighting device based on combination of a single plane and a convex free-form surface according to embodiment 1 of the present invention.
In the figure: the first surface of the designed device is a single plane, and the second surface is a convex free-form surface array; the incident high-angle natural light is collected by a single plane surface, is converged to the rear surface through an intermediate medium of the same material between the two surfaces, and is horizontally dispersed to an indoor space after being refracted by an inclined surface;
fig. 3 is a three-dimensional view of the mechanical structure of a single-chip natural light homogenizing lighting device based on the combination of a single plane and a convex free-form surface provided by embodiment 1 of the present invention; wherein, fig. 3 (a) is a convex free-form surface array, and fig. 3 (b) is a single plane.
Fig. 4 is a schematic structural diagram of a single-chip natural light homogenizing lighting device based on combination of a single plane and a concave free-form surface according to embodiment 3 of the present invention.
In the figure: after the outdoor high-angle natural light passes through the device, the outdoor high-angle natural light is horizontally dispersed into an indoor space;
fig. 5 is a simulation effect diagram of a single-chip natural light homogenizing lighting device based on combination of a single plane and a concave free-form surface provided in embodiment 3 of the present invention.
In the figure: the first surface of the designed device is a single plane, and the second surface is a concave free-form surface array; the incident high-angle natural light is collected by a single plane surface, is converged to the rear surface through an intermediate medium of the same material between the two surfaces, and is horizontally dispersed to an indoor space after being refracted by an inclined surface;
fig. 6 is a three-dimensional view of the mechanical structure of a single-piece natural light homogenizing lighting device based on the combination of a single plane and a concave free-form surface provided in embodiment 3 of the present invention; wherein, fig. 6 (a) is a concave free-form surface array, and fig. 6 (b) is a single plane.
Fig. 7 is a schematic structural diagram of a single-chip natural light homogenizing lighting device based on a combination of a single plane and a sawtooth grating according to embodiment 5 of the present invention.
In the figure: after the outdoor high-angle natural light passes through the device, the outdoor high-angle natural light is horizontally dispersed into an indoor space;
fig. 8 is a simulation effect diagram of a single-chip natural light homogenizing lighting device based on a combination of a single plane and a sawtooth grating according to embodiment 5 of the present invention.
In the figure: the first surface of the designed device is a single plane, and the second surface is a saw tooth surface array; the incident high-angle natural light is collected by a single plane, is converged to the rear surface through an intermediate medium of the same material between the two surfaces, and is horizontally dispersed to the indoor space after being refracted by the inclined surface;
FIG. 9 is a three-dimensional view of the mechanical structure of a monolithic natural light homogenizing illumination device based on a combination of a single plane and a sawtooth grating according to embodiment 5 of the present invention; wherein fig. 9 (a) is a saw tooth surface array and fig. 9 (b) is a single plane.
Detailed Description
Exemplary embodiments of the present invention will be described hereinafter with reference to the accompanying drawings. In the interest of clarity and conciseness, not all features of an actual implementation are described in this specification. It will of course be appreciated that in the development of any such actual embodiment, numerous implementation-specific decisions must be made in order to achieve the developer's specific goals, such as compliance with system-and business-related constraints, and that these constraints will vary from one implementation to another. Moreover, it will be appreciated that such a development effort might be complex and time-consuming, but would nevertheless be a routine undertaking for those of ordinary skill in the art having the benefit of this disclosure.
It should be noted here that, in order to avoid obscuring the present invention due to unnecessary details, only the device structures and/or processing steps closely related to the solution according to the present invention are shown in the drawings, while other details not greatly related to the present invention are omitted.
Example 1: as shown in fig. 1, the present embodiment provides a monolithic natural light homogenizing lighting device based on a combination of a single plane and a convex free-form surface, which includes two surfaces in an array form, a first surface is a single plane as shown in fig. 3 (b), and a second surface is a convex free-form surface array as shown in fig. 3 (a); the single plane is used for collecting outdoor natural light and is conducted to the convex free-form surface array through an intermediate medium with the same material between the two surfaces; the convex freeform surface array is used for deflecting incident natural light to the indoor space after being refracted by the inclined surface. The convex free-form surface arrays each include n unit structures, n being a natural number of 1 or more.
More specifically: the front and rear array surfaces respectively realize the modulation of different phases of incident light. Specifically, the second surface free-form surface array imparts phase modulation to the incident light
Can be expressed as
(x, y) is the position of the incident wavefront of the convex freeform surface array, f is the equivalent lens focal length in the convex freeform surface array, lambda is the natural light center wavelength, theta 1 For incident light on convex free-form surfacesAngle of incidence.
More specifically: the single plane faces the incidence direction of natural light, the normal line of the single plane mirror surface forms an acute angle with the angle of the incident natural light, and the natural light incident from a high angle outdoors can be parallel diverged to each corner in the house through the designed device.
More specifically: the single unit structure of the convex free surface array is a convex free surface, and the thickness d of different positions (x, y) on the convex free surface 1 The expression is
r is the radius of the convex free-form surface, θ is the inclination angle of the convex free-form surface, the surface form can be a sphere or other forms, and the radius of the curved surface is 1-5 times of the minimum distance between the plane and the convex free-form surface.
More specifically: the convex free-form surface array refracts most of light rays in the horizontal direction through refraction, and the inclination angle theta is 20-70 degrees.
More specifically: the monolithic device material should be a high transmittance material with a transmittance of 85% or more, including but not limited to glass, resin, and transparent plastic.
More specifically: the front and rear surfaces are both arrays, and the array form is a square full-aperture array with a high filling rate of more than 95%.
In order to verify the effect of the device, the radius r= -1mm of the convex free-form curved surface, the inclined angle θ=45°, the interval between two planes is 1.5mm, the array size is 1mm, 5*5 arrays are selected, ZF6 glass is selected as the material, the light divergence effect is simulated, and the simulation result is shown in fig. 2.
Example 2: on the basis of the device in the embodiment 1, a single-chip natural light homogenizing illumination method based on the combination of a single plane and a convex free-form surface is designed, and the method comprises the following steps:
outdoor natural light is collected through a single plane and is conducted to a convex free-form surface array through an intermediate medium with the same material between the two sides;
the convex free-form surface array deflects the incident natural light into the indoor space after refracting the incident natural light.
Example 3: as shown in fig. 4, the present embodiment provides a single-chip natural light homogenizing lighting device based on a combination of a single plane and a concave free-form surface, which includes two surfaces in the form of an array, a first surface is a single plane as shown in fig. 6 (b), and a second surface is a concave free-form surface array as shown in fig. 6 (a); the single plane is used for collecting outdoor natural light and is conducted to the concave free-form surface array through an intermediate medium with the same material between the two surfaces; the concave freeform surface array is used for deflecting incident natural light to the indoor space after being refracted by the inclined surface. The concave free-form surface arrays each include n unit structures, n being a natural number of 1 or more.
More specifically: phase modulation of incident light imparted by the second surface free-form surface array
Can be expressed as
(x, y) is the position of the incident wavefront of the concave free-form surface array, f is the equivalent lens focal length in the concave free-form surface array, lambda is the natural light center wavelength, theta 1 Is the angle of incidence of the incident light on the concave free-form surface.
More specifically: the single plane faces the incidence direction of natural light, the normal line of the single plane mirror surface forms an acute angle with the angle of the incident natural light, and the natural light incident from a high angle outdoors can be parallel diverged to each corner in the house through the designed device.
More specifically: the single unit structure of the concave free surface array is a concave free surface, and the thickness d of different positions (x, y) on the concave free surface 2 The expression is
n is refractive index, r is curved surface radius of concave free-form surface, surface form can be spherical surface, also can be other forms, θ is inclination angle of concave free-form surface, curved surface radius is 1-5 times of minimum distance between plane and concave free-form surface.
More specifically: the concave free-form surface refracts most of light rays in the horizontal direction by refraction, and the inclination angle theta is 20-70 degrees.
More specifically: the monolithic device material should be a high transmittance material with a transmittance of 85% or more, including but not limited to glass, resin, and transparent plastic.
More specifically: the front and rear surfaces are both arrays, and the array form is a square full-aperture array with a high filling rate of more than 95%.
In order to verify the effect of the device, the inclination angle theta=45°, the radius r=1 mm of the concave free-form surface, the interval between two planes is 1.5mm, the array size is 1mm, 5*5 arrays are selected, ZF6 glass is selected as the material, the light divergence effect is simulated, and the simulation result is shown in fig. 5.
Example 4: on the basis of the device in the embodiment 3, a single-chip natural light homogenizing illumination method based on the combination of a single plane and a concave free-form surface is designed, and the method comprises the following steps:
outdoor natural light is collected through a single plane and is conducted to a concave free-form surface array through an intermediate medium with the same material between the two sides;
the concave free-form surface array deflects incident natural light into the indoor space after refracting the incident natural light.
Example 5: as shown in fig. 7, this embodiment provides a monolithic natural light homogenizing lighting device based on a combination of a single plane and a sawtooth grating, which includes two surfaces in the form of an array, a first surface is a single plane as shown in fig. 9 (b), and a second surface is a sawtooth surface array as shown in fig. 9 (a); the single plane is used for collecting outdoor natural light and is conducted to the saw tooth surface array through an intermediate medium with the same material between the two sides; the sawtooth surface array is used for deflecting incident natural light to the indoor space after being refracted through the inclined surface. The saw tooth surface arrays each include n unit structures, n being a natural number of 1 or more.
More specifically: the front and rear array surfaces respectively realize the modulation of different phases of incident light. Specifically, the second surface is provided with a sawtooth surface array for adding phase modulation to incident light
Can be expressed as
Lambda is the center wavelength of natural light, y is the position of the incident wavefront of the saw tooth surface array, theta 1 Is the angle of incidence of the incident light on the sawtooth surface.
More specifically: the single plane faces the incidence direction of natural light, the normal line of the single plane mirror surface forms an acute angle with the angle of the incident natural light, and the natural light incident from a high angle outdoors can be parallel diverged to each corner in the house through the designed device.
More specifically: thickness d of individual structural units of the saw tooth surface array at different positions (x, y) 3 The expression is
n is the refractive index and θ is the saw tooth tilt angle.
More specifically: most of light rays are refracted in the horizontal direction by the sawtooth surface through refraction, and the inclination angle theta is 20-70 degrees.
More specifically: the monolithic device material should be a high transmittance material with a transmittance of 85% or more, including but not limited to glass, resin, and transparent plastic.
More specifically: the front and rear surfaces are both arrays, and the array form is a square full-aperture array with a high filling rate of more than 95%.
In order to verify the effect of the device, the grating inclination angle theta=45° of the array grating with the sawtooth surface is 1.5mm, the interval between the two planes is 1mm x 1mm, the array size is 1mm x 1mm, 5*5 arrays are selected, ZF6 glass is selected as the material, the light divergence effect is simulated, and the simulation result is shown in fig. 8.
Example 6: on the basis of the device in the embodiment 5, a single-chip natural light homogenizing illumination method based on the combination of a single plane and a sawtooth grating is designed, and the method comprises the following steps:
outdoor natural light is collected through a single plane and is conducted to the saw tooth surface array through an intermediate medium with the same material between the two sides;
the sawtooth surface array deflects incident natural light into the indoor space after refracting the incident natural light.
Although the embodiments of the present invention are described above, the present invention is not limited to the embodiments adopted for the purpose of facilitating understanding of the technical aspects of the present invention. Any person skilled in the art can make any modification and variation in form and detail without departing from the core technical solution disclosed in the present invention, but the scope of protection defined by the present invention is still subject to the scope defined by the appended claims.
Claims (7)
1. The natural light homogenizing lighting device of the single plane and free-form surface is characterized by comprising a front surface and a rear surface, wherein the first surface is the single plane, and the second surface is a free-form surface array; the single plane is used for collecting outdoor natural light and is conducted to the free-form surface array through an intermediate medium with the same material between the two surfaces; the free-form surface array is used for deflecting incident natural light to an indoor space after being refracted by the inclined surface;
the lens form of the free-form surface array is a convex free-form surface or a concave free-form surface, and the convex free-form surface is at different positions x 1 ,y 1 Thickness d of (2) 1 The expression is
n is refractive index, θ 1 Is the inclination angle of a convex free-form surface, r 1 The radius of the curved surface is 1-5 times of the minimum distance between the plane and the convex free-form surface; different positions x on the concave free-form surface 2 ,y 2 Thickness d of (2) 2 The expression is
n is refractive index, θ 2 Is the inclination angle of a concave free-form surface, r 2 The radius of the curved surface is 1-5 times of the minimum distance between the plane and the concave free-form surface.
2. A monoplane according to claim 1A natural light homogenizing lighting device with free curved surface, characterized in that the free curved surface array adds phase modulation to incident light
Can be expressed as +.>
x 3 ,y 3 F is the position of the incident wavefront of the free-form surface array 1 Is equivalent lens focal length in the free curved surface array, lambda is natural light center wavelength, theta 3 Is the angle of incidence of the incident light on the free-form surface.
3. The single plane and freeform surface natural light homogenizing lighting apparatus of claim 1 wherein the single plane is oriented in the natural light incidence direction and the single plane specular normal is at an acute angle to the incident natural light angle.
4. The single plane and free form surface natural light homogenizing lighting apparatus of claim 1 wherein the free form surface array refracts light rays in a horizontal direction by refraction, and is tilted at an angle of 20 ° to 70 °.
5. The single plane and free form surface natural light homogenizing lighting apparatus of claim 1 wherein the monolithic device material is a transmittance material with a transmittance of 85% or more.
6. The single plane and freeform surface natural light homogenizing lighting apparatus of claim 1 wherein the back surface array is in the form of a square full aperture array with a fill ratio of 95% or greater.
7. The natural light homogenizing illumination method for the monoplane and the free-form surface is characterized by comprising the following steps of:
outdoor natural light is collected through a single plane and is conducted to a free-form surface array through an intermediate medium with the same material between two sides;
the free-form surface array deflects incident natural light to an indoor space after being refracted by the inclined surface;
the lens form of the free-form surface array is a convex free-form surface or a concave free-form surface, and the convex free-form surface is at different positions x 1 ,y 1 Thickness d of (2) 1 The expression is
n is refractive index, θ 1 Is the inclination angle of a convex free-form surface, r 1 The radius of the curved surface is 1-5 times of the minimum distance between the plane and the convex free-form surface; different positions x on the concave free-form surface 2 ,y 2 Thickness d of (2) 2 The expression is
n is refractive index, θ 2 Is the inclination angle of a concave free-form surface, r 2 The radius of the curved surface is 1-5 times of the minimum distance between the plane and the concave free-form surface.
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| CN108919483A (en) * | 2018-06-21 | 2018-11-30 | 浙江大学 | A kind of hollow beam preparation facilities based on free-form surface lens array |
| CN112540495A (en) * | 2020-12-14 | 2021-03-23 | 杭州海康威视数字技术股份有限公司 | Polarized lens and light supplementing method of monitoring assembly |
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