CN114019666A - A total reflection type LED micro-illumination light distribution element - Google Patents

Abstract

The invention provides a total reflection type LED micro-illumination light distribution element, which includes a collimation structure and a light condensing structure; the collimating structure is used for collimating the light emitted by the LED light source, and the light condensing structure is used for collimating the light emitted by the LED light source. The collimated light is focused on the sample to be tested; the collimation structure includes a first cylindrical surface, a second cylindrical surface, a first transmission surface and a total reflection surface, the first cylindrical surface and the first transmission surface A bottom cavity is formed; the second cylindrical surface is used for the transition between the collimating structure and the light-converging structure; the light-converging structure includes a reflection surface and a second transmission surface. The invention effectively controls all the light emitted by the LED light source, improves the energy utilization rate, and realizes the uniform illumination of the LED light source on the sample surface through the segmental design of the LED micro-illumination light distribution element; and the integrated processing reduces the installation time. It is difficult to adjust, and only one light distribution element of the present invention can be used to realize microscope illumination.

Description

A total reflection type LED micro-illumination light distribution element

technical field

The invention belongs to the technical field of LED lighting, and in particular relates to a total reflection type LED microscopic lighting light distribution element based on non-imaging optics.

Background technique

LED light source has the advantages of energy saving and environmental protection, high reliability, long life and no infrared radiation. It basically does not generate heat. It is considered to be an excellent cold light source and is gradually becoming the preferred light source for microscopic lighting. However, the existing LED micro-illumination systems have two main shortcomings: first, the multi-optical path of the illumination system lenses leads to a large overall structure of the microscope system, which cannot realize the portability of the microscope, which limits the further expansion of the microscope market; second . The traditional lens can only control the central part of the light beam emitted by the light source, while the LED light source has a large emitting angle, and the large-angle beam cannot be collected and wasted, which reduces the energy utilization rate of the lighting system.

SUMMARY OF THE INVENTION

In order to solve the above problems, the present invention provides a total reflection type LED micro-illumination light distribution element based on non-imaging optics.

For achieving the above object, the present invention adopts following concrete technical scheme:

The invention provides a total reflection type LED micro-illumination light distribution element, which is characterized in that the total reflection type LED micro-illumination light distribution element includes a collimation structure and a light-gathering structure;

The collimating structure is used for collimating the light emitted by the LED light source, and the light collecting structure is used for focusing the collimated light on the sample to be tested;

The collimation structure includes a first cylindrical surface, a second cylindrical surface, a first transmission surface and a total reflection surface, and the first cylindrical surface and the transmission surface form a bottom cavity;

the second cylindrical surface is used for the transition between the collimating structure and the light concentrating structure;

The light collecting structure includes a reflective surface and a second transmission surface.

Preferably, the first transmission surface and the total reflection surface are both rotationally symmetric free-form surfaces, and both are designed by a non-imaging method.

Preferably, the non-imaging method design of the first transmission surface includes the steps of:

和

分别表示入射光线和出射光线的矢量形式，则斯涅耳定律表示如公式(1)所示：S0, choose the bottom diameter of the first cylindrical surface as the x-axis, take the rotational symmetry axis as the y-axis, and the intersection of the rotational symmetry axis and the plane where the cavity mouth of the bottom cavity is located is the coordinate origin; the The refractive index of the material of the light distribution element is n, assuming

and

respectively represent the vector form of the incident light and the outgoing light, then Snell's law is expressed as formula (1):

Among them, n ₁ and n ₂ represent the refractive index of the material where the incident light and the outgoing light are located, respectively;

S1. The first incident light emitted from the LED light source and incident on the first transmission surface is evenly divided into M parts according to the incident angle, then the first incident angle of the first incident light is expressed as formula (2) Show:

表示x轴方向的单位矢量，

表示y轴方向的单位矢量；θ_c为所述第一入射光线与所述旋转对称轴之间的的最大夹角；in,

is a unit vector representing the x-axis direction,

represents the unit vector of the y-axis direction; θ _c is the maximum angle between the first incident light ray and the rotational symmetry axis;

S2. Write both the first incident ray and the first outgoing ray in vector form, as shown in formula (3):

得出点P_1j处的切线；S3. Set the coordinates of any point P _1j on the first transmission surface as (x _1j , y _1j ), and obtain the normal vector of the point P _1j according to formula (3) and formula (1).

get the tangent at point P _1j ;

与点P_1j处切线的交点；Take a point P _1j+1 (x _1j+1 , y _1j+1 ) before the point P _1j on the curve of the first transmission surface, the point P _1j+1 is on the tangent of P _1j , and the point P _1j+1 is The first incident ray at point P _1j+1

the intersection with the tangent at point P _1j ;

For the first incident ray and the first outgoing ray divided by formula (3), given the starting point P ₁₀ (x ₁₀ , y ₁₀ ), the normal vector of the first transmission surface is calculated according to formula (1). Iterative calculation is repeated to obtain the coordinates of each point on the first transmission surface, and the coordinates of the end point are marked as P _1end (x _1end , y _1end ).

Preferably, the non-imaging method design of the total reflection surface includes the steps of:

S11. The second incident light emitted from the LED light source and incident on the total reflection surface is evenly divided into M parts according to the incident angle, and the second incident angle of the second incident light is expressed as shown in formula (5). :

After the first incident light is refracted by the first cylindrical surface, the second incident light is incident on the total reflection surface, and the refraction angle is expressed as shown in formula (6):

S22. Write both the second incident light ray and the second outgoing light ray in vector form, as shown in formula (7):

得出点P_2j处的切线；S33, set the coordinates of any point P _2j on the total reflection surface as (x _2j , y _2j ), and obtain the normal vector of the point P _2j according to formula (7) and formula (1)

get the tangent at point P _2j ;

与点P_2j处切线的交点；Take a point P _2j+1 (x _2j+1 , y _2j+1 ) before the point P _2j on the curve of the total reflection surface, the point P _2j+1 is on the tangent of P _2j , and the point P _2j+1 is a point The second incident ray at P _2j+1

the intersection with the tangent at point P _2j ;

For the second incident ray and the second outgoing ray divided by formula (7), given the starting point P ₂₀ (x ₂₀ , y ₂₀ ), x ₂₀ >x _1end , y ₂₀ =0; The normal vector of the total reflection surface is calculated repeatedly to obtain the coordinates of each point on the total reflection surface, and the end point coordinates are marked as P _2end (x _2end , y _2end ).

Preferably, the reflection surface is a paraboloid, and the second transmission surface is a spherical surface.

Preferably, the collimated light is incident on the reflective surface and converges at a focal point, and the coordinates of the focal point are (-x _2end -r, y _2end +h); the reflective surface and the second transmission surface The rotational symmetry axes of are all y=-x _2end- r; the parabolic equation of the reflecting surface is shown in formula (8):

(x+(r+x _2end )) ² =-4f(y-(y _2end +h+f)) (8)

Wherein, the focal length of the reflective surface is f, the radius of the second transmission surface is r, the diameter of the second cylindrical surface is 2x _2end , and the height of the second cylindrical surface is h; The coordinates of the intersection of the second cylindrical surfaces are (x _2end , y _2end +h).

Preferably, the focal length f of the reflecting surface is expressed as shown in formula (9):

Preferably, the paraboloid equation of the reflecting surface is shown in formula (10):

Preferably, the equation of the second transmission surface is shown in formula (11):

Preferably, the material of the light distribution element is polymethyl methacrylate; when the wavelength is 546.1 nm, the refractive index of the material of the light distribution element is 1.49.

The total reflection type LED micro-illumination light distribution element based on non-imaging optics provided by the present invention adopts the law of energy conservation and Snell's law to design the LED micro-illumination light distribution element in sections, and effectively control the emission of the LED light source. It can improve the energy utilization rate and realize the uniform illumination of the LED light source on the sample surface; only one light distribution element of the present invention can be used to realize the microscope illumination, which effectively reduces the volume and weight of the illumination system, which is beneficial to the microscope. Portable use. At the same time, the light distribution element of the present invention can be processed in an integrated manner after the segmental design, which effectively reduces the difficulty of assembly and adjustment.

Description of drawings

FIG. 1 is a schematic diagram of the principle of a total reflection type LED micro-illumination light distribution element in an embodiment of the present invention.

FIG. 2 is a schematic structural diagram of a total reflection type LED micro-illumination light distribution element in an embodiment of the present invention.

FIG. 3 is a schematic diagram of the design principle of the first transmission surface in an embodiment of the present invention.

FIG. 4 is a schematic diagram of a design principle of a total reflection surface in an embodiment of the present invention.

FIG. 5 is a schematic diagram of the design principle of the reflection surface and the second transmission surface in an embodiment of the present invention.

FIG. 6 is a graph of the illuminance distribution of the sample surface in an embodiment of the present invention.

reference number

LED light source 1, light distribution element 2, sample surface 3, collimation structure 21, light collecting structure 22, first cylindrical surface 31, first transmission surface 32, total reflection surface 33, second cylindrical surface 34, reflection surface 41 . The second transmission surface 42 .

Detailed ways

In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention.

As shown in FIG. 1 and FIG. 2, FIG. 1 is a schematic diagram of the principle of a total reflection type LED micro-illumination light distribution element in an embodiment of the present invention, and FIG. 2 is a total reflection type LED micro-illumination in an embodiment of the present invention. Schematic diagram of the structure of the light distribution element.

It can be seen from FIG. 1 that the light emitted from the LED light source 1 is focused on the surface 3 of the sample to be tested after passing through the light distribution element 2 of this embodiment.

In this specific embodiment, the total reflection type LED micro-illumination light distribution element 2 includes a collimation structure 21 and a light condensing structure 22; the collimation structure 21 is used for collimating the light emitted by the LED light source 1, The light collecting structure 22 is used to focus the collimated light on the sample to be tested, specifically on the sample surface 3 to be tested.

Specifically, the collimation structure 21 includes a first cylindrical surface 31 , a second cylindrical surface 34 , a first transmission surface 32 and a total reflection surface 33 , and the first cylindrical surface 31 and the first transmission surface 32 form a bottom A cavity for placing the LED light source; the second cylindrical surface 34 is used for the transition between the collimating structure 21 and the light concentrating structure 22 ; the first cylindrical surface 31 and the second cylindrical surface 34 are straight cylindrical surfaces, the straight surface in the first cylindrical surface 31 is parallel to the straight surface in the second cylindrical surface 34 , and the side surface of the second cylindrical surface 34 is perpendicular to the bottom edge of the total reflection surface 33 ; Specifically, the light collecting structure 22 includes a reflection surface 41 and a second transmission surface 42; the reflection surface 41 is directly connected with the second cylindrical surface, and the second transmission surface 42 is connected with the second cylindrical surface 34 is the direct connection between the spherical surface and the cylindrical surface.

In the specific embodiment, the first transmission surface 32 and the total reflection surface 33 are both rotationally symmetric free-form surfaces, both of which are designed using a non-imaging method. The relationship of rays can be solved iteratively for points on the surface.

As shown in FIG. 3 , which is a schematic diagram of the design principle of the first transmission surface 32 , for the first transmission surface 32 , only its 2D structure is considered, and the 3D entity is finally obtained by rotating around its central axis of symmetry. Specifically, the non-imaging method design of the first transmission surface 32 includes the steps:

和

分别表示入射光线和出射光线的矢量形式，则斯涅耳定律表示如公式(1)所示：S0, take the rotational symmetry axis as the y-axis, the intersection of the rotational symmetry axis and the plane where the cavity mouth of the bottom cavity is located is the coordinate origin point O; the cavity mouth of the bottom cavity is the cavity mouth of the LED light source cavity, and the coordinates The origin point O is the position of the LED light source; the diameter of the bottom surface of a first cylindrical surface 31 is selected as the x-axis in the plane where the cavity of the LED light source cavity is located, and the refractive index of the material of the light distribution element 2 is n, Assumption

and

respectively represent the vector form of the incident light and the outgoing light, then Snell's law is expressed as formula (1):

Among them, n ₁ and n ₂ represent the refractive index of the material where the incident light and the outgoing light are located, respectively;

S1. The first incident light emitted from the LED light source 1 and incident on the first transmission surface 32 is evenly divided into M parts according to the incident angle, and M can be any value, then the first incident light of the first incident light The angle is expressed as formula (2):

表示x轴方向的单位矢量，

表示y轴方向的单位矢量；θ_c为LED光源发出的入射到所述第一透射面32上的所述第一入射光线与所述旋转对称轴之间的的最大夹角；in,

is a unit vector representing the x-axis direction,

represents the unit vector of the y-axis direction; θ _c is the maximum angle between the first incident light ray emitted by the LED light source and incident on the first transmission surface 32 and the rotational symmetry axis;

After the first incident light rays are incident on the first transmission surface 32 , the first outgoing light rays emitted from the first transmission surface 32 are all collimated light rays.

S2. Write both the first incident ray and the first outgoing ray in vector form, as shown in formula (3):

得出点P_1j处的切线；S3. Set the coordinates of any point P _1j on the first transmission surface 32 as (x _1j , y _1j ), and obtain the normal vector of the point P _1j according to formula (3) and formula (1).

get the tangent at point P _1j ;

与点P_1j处切线的交点；Take a point P _1j+1 (x _1j+1 , y _1j+1 ) before the point P _1j on the curve of the first transmission surface 32 , the point P _1j+1 is on the tangent of P _1j , the point P _1j+1 is the first incident ray at the point P _1j+1

the intersection with the tangent at point P _1j ;

For the first incident ray and the first outgoing ray divided by the formula (3), given the starting point P ₁₀ (x ₁₀ , y ₁₀ ), the normal vector of the first transmission surface 32 is calculated according to the formula (1), After repeated iterative calculation, the coordinates of each point on the first transmission surface 32 are obtained, and the coordinates of the end point are marked as P _1end (x _1end , y _1end ).

As shown in FIG. 4, it is a schematic diagram of the design principle of the total reflection surface 33. Specifically, the non-imaging method design of the total reflection surface 33 includes the steps:

S11. The second incident light emitted from the LED light source 1 and incident on the total reflection surface 33 is evenly divided into M parts according to the incident angle, and M can be any value, then the second incident angle of the second incident light It is expressed as formula (5):

Specifically, M is only used to represent the number of shares, and there is no other additional limitation; the number of the second incident rays uniformly divided according to the incident angle may be the same or different from that of the first incident ray uniformly divided according to the incident angle;

After the first incident light is refracted by the first cylindrical surface 31, the second incident light is incident on the total reflection surface 33, and the refraction angle is expressed as shown in formula (6):

S22. Write both the second incident light ray and the second outgoing light ray in vector form, as shown in formula (7):

得出点P_2j处的切线；S33, set the coordinates of any point P _2j on the total reflection surface 33 as (x _2j , y _2j ), and obtain the normal vector of the point P _2j according to formula (7) and formula (1)

get the tangent at point P _2j ;

与点P_2j处切线的交点；On the curve of the total reflection surface 33, take a point P _{2j +1} (x _2j+1 , y _2j+1 ) before the point P 2j, the point P _2j+1 is on the tangent of P _2j , and the point P _2j+1 is The second incident ray at the point P _2j+1

the intersection with the tangent at point P _2j ;

For the second incident ray and the second outgoing ray divided by formula (7), given the starting point P ₂₀ (x ₂₀ , y ₂₀ ), x ₂₀ >x _1end , y ₂₀ =0; The normal vector of the total reflection surface 33 is calculated repeatedly to obtain the coordinates of each point on the total reflection surface 33, and the end point coordinates are marked as P _2end (x _2end , y _2end ).

In the specific implementation manner, for the second cylindrical surface 34 in the collimation structure 21 , the diameter of the bottom surface is 2 _×2end , and the height is h, which mainly plays the role of transition from the collimation structure 21 to the light-concentrating structure 22 .

In a specific implementation manner, in the light collecting structure 22, the reflecting surface 41 is a parabolic surface, and the second transmitting surface 42 is a spherical surface.

As shown in FIG. 5 , it is a schematic diagram of the design principle of the reflection surface 41 and the second transmission surface 42 . It can be seen from the figure that the parallel light after the collimation structure, that is, the collimated light, is incident on the reflection surface 41 and then converges at the focus Q; the spherical center of the second transmission surface 42 coincides with the focus of the reflection surface 41 , the light will not be deflected after passing through the second transmission surface 42 and still converge on the reflection surface 41 at the focal point Q, so the coordinates of the focal point Q are (-x _2end -r, y _2end +h); at the same time, the focal point Q of the reflective surface 41 is also the sample surface 3 to be tested; the reflective surface 41 and the rotational symmetry axis of the second transmission surface 42 are both y=-x _2end- r; the coordinates of the vertex S of the reflective surface 41 are (-x _2end- r, y _2end +h+f), y _2end +h+f>r; the parabolic equation of the reflecting surface 41 is shown in formula (8):

(x+(r+x _2end )) ² =-4f(y-(y _2end +h+f)) (8)

The focal length of the reflection surface 41 is f, the second transmission surface 42 is a spherical surface, and its radius is r, the diameter of the second cylindrical surface is 2x _2end , and the height of the second cylindrical surface is h.

P ₄ is the intersection of the reflecting surface 41 and the second cylindrical surface 34, and the coordinates are (x _2end , y _2end +h), and substituting into the formula (8) can obtain the focal length f of the reflecting surface 41 as shown in the formula (9) :

It is further obtained that the paraboloid equation of the reflecting surface 41 is shown in formula (10):

The equation of the second transmission surface 42 is shown in formula (11):

In the specific embodiment of the present invention, the material of the light distribution element 2 can be applied to various optical materials; in one embodiment, the material of the light distribution element 2 is polymethyl methacrylate PMMA, when irradiated with light of different wavelengths, There can be correspondingly different refractive indices.

Through the above non-imaging optical design method, the first transmission surface 32 , the total reflection surface 33 , the reflection surface 41 and the second transmission surface 42 are respectively designed correspondingly, that is, the LED micro-illumination light distribution element 2 is segmented Design, the light distribution element 2 formed by the combination of these specific designs can effectively control all the light emitted by the LED light source, improve the energy utilization rate, and realize the uniform illumination of the LED light source on the sample surface; The light distribution element 2 can realize microscope illumination, which effectively reduces the volume and weight of the illumination system, and is beneficial to the portable use of the microscope. At the same time, the light distribution element 2 of the present invention can be processed in an integrated manner after being designed in sections, which effectively reduces the difficulty of assembly and adjustment.

The following is further described by specific examples.

Example 1

In this embodiment, as shown in FIG. 2 , the light distribution element 2 includes a collimation structure 21 and a light concentrating structure 22 ; the collimating structure 21 is used to collimate the light emitted by the LED light source, and the light concentrating structure 22 is used to The straight light is focused on the sample 3 to be tested. The collimation structure 21 includes a first cylindrical surface 31, a second cylindrical surface 34, a first transmission surface 32 and a total reflection surface 33, the first cylindrical surface 31 and the first transmission surface 31 form a bottom cavity; the second cylindrical surface 34 uses The transition between the collimating structure 21 and the light collecting structure 22 ; the light collecting structure 22 includes a reflective surface 41 and a second transmission surface 42 .

The light distribution element 2 uses polymethyl methacrylate PMMA as a material, and when the wavelength is 546.1 nm, the refractive index of the material of the light distribution element 2 is 1.49. The maximum angle that the first transmission surface 32 can control is 30°. According to the aforementioned non-imaging design method, the diameter of the collimation structure 21 of the light distribution element is designed to be 14mm and the height to be 7.9mm; the collimation part of the collimation structure 21 is designed The diameter of the first cylindrical surface 31 is 5.4mm and the height is 4.7mm. The height of the second cylindrical surface 34 of the transition portion is 5 mm. The reflection surface 41 of the light-concentrating structure 22 is a paraboloid, and the focal length of the paraboloid is 11 mm; the second transmission surface of the light-concentrating structure 22 is a spherical surface, and the radius of the spherical surface is 8 mm. That is, the paraboloid equation of the reflecting surface 41 is shown in formula (12):

(x+15) ² = -44(y-23.9) (12)

Specifically, the illuminance distribution of the light distribution element 2 on the sample surface 3 is shown in FIG. 6 , and it can be seen from the figure that the illuminance has high uniformity.

The non-imaging optics-based total reflection LED micro-illumination light distribution element provided by the specific embodiment of the present invention adopts the law of energy conservation and Snell's law to design the LED micro-illumination light distribution element in sections, and effectively control the LED All the light emitted by the light source improves the energy utilization rate and realizes the uniform illumination of the LED light source on the sample surface. Only one light distribution element of the present invention can be used to realize microscope illumination, which effectively reduces the volume and weight of the illumination system, and is beneficial to the portable use of the microscope. At the same time, the light distribution element of the present invention can be processed in an integrated manner, which reduces the difficulty of assembly and adjustment.

In the description of this specification, description with reference to the terms "one embodiment," "some embodiments," "example," "specific example," or "some examples", etc., mean specific features described in connection with the embodiment or example , structure, material or feature is included in at least one embodiment or example of the present invention. In this specification, schematic representations of the above terms are not necessarily directed to the same embodiment or example. Furthermore, the particular features, structures, materials or characteristics described may be combined in any suitable manner in any one or more embodiments or examples. Furthermore, those skilled in the art may combine and combine the different embodiments or examples described in this specification, as well as the features of the different embodiments or examples, without conflicting each other.

Although the embodiments of the present invention have been shown and described above, it is to be understood that the above-described embodiments are exemplary and should not be construed to limit the present invention. Variations, modifications, substitutions, and alterations to the above-described embodiments can be made by those of ordinary skill in the art within the scope of the present invention.

The above specific embodiments of the present invention do not constitute a limitation on the protection scope of the present invention. Any other corresponding changes and modifications made according to the technical concept of the present invention shall be included in the protection scope of the claims of the present invention.

Claims (10)

1. A total reflection type LED (light emitting diode) micro-illumination light distribution element is characterized by comprising a collimation structure and a light condensation structure;

the collimating structure is used for collimating light rays emitted by the LED light source, and the light condensing structure is used for focusing the collimated light rays on a sample to be measured;

the collimating structure comprises a first cylindrical surface, a second cylindrical surface, a first transmission surface and a total reflection surface, wherein the first cylindrical surface and the transmission surface form a bottom cavity;

the second cylindrical surface is used for transition between the collimation structure and the light condensation structure;

the light-concentrating structure includes a reflective surface and a second transmissive surface.

2. The total reflection type LED micro-illumination light distribution element according to claim 1, wherein the first transmission surface and the total reflection surface are both rotationally symmetric free-form surfaces, and are designed by a non-imaging method.

3. A total reflection LED micro-illumination light distribution element as claimed in claim 2, wherein the non-imaging design of the first transmissive surface comprises the steps of:

s0, optionally selecting the diameter of the bottom surface of one first cylindrical surface as an x axis, selecting a rotation symmetry axis as a y axis, and taking the intersection point of the rotation symmetry axis and the plane where the cavity opening of the bottom cavity is located as a coordinate origin; the refractive index of the material of the light distribution element is n, assuming that

And

expressing the vector forms of the incident light and the emergent light, respectively, Snell's law expresses as shown in equation (1):

wherein ,n₁ and n₂Respectively representing the refractive indexes of materials where incident rays and emergent rays are located;

s1, dividing a first incident light ray emitted from the LED light source and incident on the first transmission surface into M parts according to an incident angle, wherein the first incident angle of the first incident light ray is represented by formula (2):

wherein ,

a unit vector representing the x-axis direction,

a unit vector representing the y-axis direction; theta_cThe maximum included angle between the first incident ray and the rotational symmetry axis is defined;

s2, writing the first incident light and the first emergent light into vector form, as shown in formula (3):

s3, connecting any point P on the first transmission surface_1jIs set as (x)_1j,y_1j) Obtaining the point P according to the formula (3) and the formula (1)_1jNormal vector of

Obtain a point P_1jA tangent line of (c);

point P on the curve of the first transmission surface_1jTaking a point P_1j+1(x_1j+1,y_1j+1) Point P_1j+1At P_1jOn the tangent of (C), point P_1j+1Is a point P_1j+1At the first incident ray

And point P_1jThe intersection point of the tangent lines is located;

giving a starting point P for the first incident ray and the first emergent ray divided by the formula (3)₁₀(x₁₀,y₁₀) Calculating the normal vector of the first transmission surface according to the formula (1), and obtaining coordinates of each point on the first transmission surface through repeated iterative calculation, wherein the coordinate of the end point is marked as P_1end(x_1end,y_1end)。

4. The total reflection type LED micro-illumination light distribution element according to claim 3, wherein the non-imaging design method of the total reflection surface comprises the following steps:

s11, dividing a second incident light beam emitted from the LED light source and incident on the total reflection surface into M parts according to the incident angle, wherein the second incident angle of the second incident light beam is represented as formula (5):

after the first incident light is refracted by the first cylindrical surface, the second incident light is obtained to be incident on the total reflection surface, and the refraction angle is expressed as a formula (6):

s22, writing the second incident light and the second emergent light into vector form, as shown in equation (7):

s33, connecting any point P on the total reflection surface_2jIs set as (x)_2j,y_2j) The point P is obtained from the formula (7) and the formula (1)_2jNormal vector of

Obtain a point P_2jA tangent line of (c);

point P on the curve of said total reflection surface_2jTaking a point P_2j+1(x_2j+1,y_2j+1) Point P_2j+1At P_2jOn the tangent of (C), point P_2j+1Is a point P_2j+1At the second incident ray

And point P_2jThe intersection point of the tangent lines is located;

for the second incident ray and the second emergent ray divided by the formula (7), a starting point P is given₂₀(x₂₀,y₂₀)，x₂₀>x_1end，y₂₀0; calculating the normal vector of the total reflection surface according to the formula (1), and obtaining the coordinates of each point on the total reflection surface through repeated iterative calculation, wherein the coordinate of the end point is marked as P_2end(x_2end,y_2end)。

5. The fully reflective LED micro-lighting light distribution element of claim 4, wherein the reflective surface is a paraboloid and the second transmissive surface is a sphere.

6. The total reflection type LED micro-illumination light distribution element according to claim 5, wherein the collimated light is incident on the reflection surface and then converged at a focus point, and the coordinate of the focus point is (-x)_2end-r,y_2end+ h); the rotational symmetry axes of the reflecting surface and the second transmission surface are both y ═ x_2end-r; the vertex of the reflecting surface has a coordinate (-x)_2end-r,y_2end+h+f)，y_2end+h+f>r; the equation of the paraboloid of the reflecting surface is shown in the formula (8):

(x+(r+x_2end))²＝-4f(y-(y_2end+h+f)) (8)

wherein the focal length of the reflecting surface is f, the radius of the second transmitting surface is r, and the diameter of the second cylindrical surface is 2x_2endThe height of the second cylindrical surface is h; the coordinate of the intersection point of the reflecting surface and the second cylindrical surface is (x)_2end,y_2end+h)。

7. A total reflection type LED micro-illumination light distribution element according to claim 6, wherein the focal length f of the reflecting surface is expressed by the following formula (9):

8. a total reflection LED micro-illumination light distribution element according to claim 7, wherein the equation of the paraboloid of the reflection surface is as shown in the formula (10):

9. a total reflection type LED micro-illumination light distribution element according to claim 6, wherein the equation of the second transmission surface is as shown in formula (11):

10. a total reflection type LED micro-illumination light distribution element according to claim 1, wherein the light distribution element is made of polymethyl methacrylate; the refractive index of the material of the light distribution element is 1.49 at a wavelength of 546.1 nm.

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