CN113203077A - TIR collimating lens profile simulation method and TIR collimating lens profile - Google Patents
TIR collimating lens profile simulation method and TIR collimating lens profile Download PDFInfo
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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
- F21V5/046—Refractors for light sources of lens shape the lens having a rotationally symmetrical shape about an axis for transmitting light in a direction mainly perpendicular to this axis, e.g. ring or annular lens with light source disposed inside the ring
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- G02B27/0012—Optical design, e.g. procedures, algorithms, optimisation routines
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F21—LIGHTING
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- F21Y2115/10—Light-emitting diodes [LED]
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Abstract
The invention discloses a TIR collimating lens contour simulation method, which relates to the technical field of lenses and comprises the following steps: s1, calculating a light ray incidence angle theta of a light source according to the condition that no stray light is generatediThe value range of (a); according to the incident angle theta of light sourceiCalculating alpha from the value range of1The value range of (a); according to the incident angle theta of light sourceiValue range and fixed value alpha of1Calculate theta3The value range of (a); according to alpha1Calculating alpha from the value range of2+α3Value range of (a)3Is chosen to be constant due to alpha1Taking a fixed value, calculating alpha2A value of (d); selecting theta according to the manufacturing requirement1Is a constant value; s2, calculating gamma according to the condition that no stray light is generated1And gamma2And let gamma be1=γ2According to γ1Calculate phi from gamma1And alpha3Calculating P by cutting3According to P3、θ1And alpha3Calculate P2According to P3And gamma1Calculate P1According to P1And P2Calculating theta2. The technical effect of the invention is that the simulated TIR collimating lens can eliminate dark areas between light rays after being collimated by the lens.
Description
Technical Field
The invention relates to the technical field of lenses, in particular to a TIR collimating lens profile simulation method and a TIR collimating lens profile.
Background
When the LED light source is used for long-distance illumination, a TIR collimating lens is generally added in front of the LED light source, and light emitted by the LED light source is constrained to a small range after passing through the TIR collimating lens.
Chinese patent, publication number: CN112728504A, published: 2021.04.30, discloses a method for simulating the profile of a TIR collimating lens, which simulates the TIR collimating lens with double reflecting surfaces to effectively remove stray light, but has the disadvantage that dark areas exist among light rays penetrating through the TIR collimating lens, so that the dark areas on the target surface cannot receive the light rays.
Disclosure of Invention
1. Technical problem to be solved by the invention
Aiming at the technical problem that dark areas exist among light rays penetrating through the TIR collimating lens, the invention provides a TIR collimating lens profile simulation method and a TIR collimating lens profile.
2. Technical scheme
In order to solve the problems, the technical scheme provided by the invention is as follows:
a TIR collimating lens profile simulation method that satisfies the condition of not generating stray light, the simulation method comprising:
s1, calculating light rays of a light source according to the condition that no stray light is generatedIncident angle thetaiThe value range of (a); according to the incident angle theta of light sourceiCalculating alpha from the value range of1And selecting a fixed value within the value range; according to the incident angle theta of light sourceiValue range and fixed value alpha of1Calculate theta3And selecting a fixed value within the value range; according to alpha1Calculating alpha from the value range of2+α3Value range of (a)3Is chosen to be constant due to alpha1Taking a fixed value, calculating alpha2A value of (d); selecting theta according to the manufacturing requirement1Is a constant value;
s2, calculating gamma according to the condition that no stray light is generated1And gamma2And let gamma be1=γ2Simultaneously, a constant value is selected in a value range according to gamma1Calculate phi from gamma1And alpha3Calculating P by cutting3According to P3、θ1And alpha3Calculate P2According to P3And gamma1Calculate P1According to P1And P2Calculating theta2;
S3, according to alpha1、α2、α3、γ1、γ2、P1、P2、P3、θ1、θ2、θ3Phi and selecting an initial point to draw the profile of the TIR collimating lens;
wherein the included angle between the line five and the symmetry axis of the TIR collimating lens profile is alpha1The included angle between the line five and the line six is alpha2The included angle between the line six and the vertical direction of the symmetry axis is alpha3;
The angle between the fourth contour line and the symmetry axis is theta1The angle between the fifth contour line and the perpendicular direction of the symmetry axis is theta2The angle between the second contour line and the perpendicular direction of the symmetry axis is theta3;
The included angle between the line I and the symmetry axis is gamma2The included angle between the line III and the symmetry axis is gamma1;
The intersection point of the third contour line and the fourth contour line is P3The intersection point of the fourth contour line and the fifth contour line is P2The intersection point of the fifth contour line and the sixth contour line is P1;
And the angle between the eighth contour line and the symmetry axis in the vertical direction is phi.
Optionally, θ is the condition that no stray light is generatedi45.6288 degrees or less according to n1 sinθi=n2 sinθtAnd gamma1=θi-θtWherein n is1Is the refractive index of the medium in which the incident light is located, n2Is the refractive index of the medium in which the light is refracted, thetaiIs the angle of incidence of the light, θtFor the angle of reflection of the light, gamma is calculated1Is less than or equal to 17.0333 degrees, namely when gamma is1=γ2No stray light appears when the temperature is less than or equal to 17.0333 degrees.
Alternatively to this, the first and second parts may,wherein n is1sinθi=n2 sinθt、θiPhi and thetat=θi-γ1。
Alternatively, according to γ1And alpha3Calculating a third contour line by adopting a cutting method, and obtaining an end point P of the third contour line far away from the second contour line3。
Optionally, according to P3、θ1And alpha3Calculating P as an intersection of the fourth contour, and a line composed of the origin O and an intersection of the second contour and the third contour2。
Optionally, according to P3And gamma1Calculating a fifth contour line, wherein the intersection point of the fifth contour line and the sixth contour line is P1。
Optionally, according to P1And P2Calculating a fifth contour line, and calculating θ from the fifth contour line2。
Optionally, the included angle between the fourth contour line and the symmetry axis is θ1And theta1≥2°。
Optionally, a coordinate system is established with the position of the light source as an origin O, and an initial point is selected according to α1、α2、α3、γ1、γ2、P1、P2、P3、θ1、θ2And theta3And drawing the profile of the TIR collimating lens.
A TIR collimating lens profile, comprising:
the first contour line is positioned in the center of the TIR collimating lens contour, and a connecting line of the light source and one end of the first contour line is line five;
the second contour line is positioned at one end of the first contour line, and the connection line of the light source and one end of the second contour line, which is far away from the first contour line, is line six;
the third contour line is positioned at one end, far away from the first contour line, of the second contour line;
the fourth contour line is positioned at one end, far away from the second contour line, of the third contour line;
a fifth contour line located at an end of the fourth contour line distal from the third contour line;
the sixth contour line is positioned at one end, far away from the fourth contour line, of the fifth contour line;
a seventh contour line, which is located at one end of the sixth contour line far from the fifth contour line;
the eighth contour line is positioned at one end, far away from the sixth contour line, of the seventh contour line;
a ninth contour line, which is located at one end of the eighth contour line away from the seventh contour line;
the intersection line of one end of the second contour line far away from the first contour line and one end of the eighth contour line far away from the seventh contour line is line one, and the intersection line of one end of the third contour line far away from the second contour line and one end of the fifth contour line far away from the sixth contour line is line three.
3. Advantageous effects
Compared with the prior art, the technical scheme provided by the invention has the following beneficial effects: the simulated TIR collimating lens can eliminate dark areas existing among light rays after being collimated by the lens.
Drawings
FIG. 1 is a schematic structural diagram of a TIR collimating lens before improvement according to an embodiment of the present invention;
FIG. 2 is a schematic structural diagram of an improved TIR collimating lens according to an embodiment of the present invention;
FIG. 3 is a schematic structural diagram of a deflection portion according to an embodiment of the present invention;
FIG. 4 is a second schematic structural diagram of an improved TIR collimating lens according to an embodiment of the present invention;
fig. 5 is a third schematic structural diagram of an improved TIR collimating lens according to an embodiment of the present invention.
In the figure: 1. a first contour line; 2. a second contour line; 3. a third contour; 4. a fourth contour; 5. a fifth contour line; 6. a sixth contour line; 7. a seventh contour line; 8. an eighth contour line; 9. a ninth contour line; 10. a first line; 12. a third line; 14. line five; 15. line six; 16. a light source.
Detailed Description
For a further understanding of the present invention, reference will now be made in detail to the embodiments illustrated in the drawings.
The present application will be described in further detail with reference to the following drawings and examples. It is to be understood that the specific embodiments described herein are merely illustrative of the relevant invention and not restrictive of the invention. It should be noted that, for convenience of description, only the portions related to the present invention are shown in the drawings. The terms first, second, and the like in the present invention are provided for convenience of describing the technical solution of the present invention, and have no specific limiting effect, but are all generic terms, and do not limit the technical solution of the present invention. It should be noted that the embodiments and features of the embodiments in the present application may be combined with each other without conflict. In the description of the present invention, it should be noted that the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc., indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, and are only for convenience of description and simplicity of description, but do not indicate or imply that the device or element being referred to must have a particular orientation, be constructed and operated in a particular orientation, and thus, should not be construed as limiting the present invention. Furthermore, the terms "first," "second," and "third" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance. Unless expressly stated or limited otherwise, the terms "mounted," "connected," and "connected" are intended to be inclusive and mean, for example, that they may be fixedly connected, detachably connected, or integrally connected; can be mechanically or electrically connected; they may be connected directly or indirectly through intervening media, or they may be interconnected between two elements. The specific meanings of the above terms in the present invention can be understood in specific cases to those skilled in the art.
Example 1
With reference to fig. 1-4, the invention provides a TIR collimating lens profile drawing method, which satisfies the condition of no stray light generation, and comprises the following steps:
s1, calculating the light ray incidence angle theta of the light source 16 according to the condition that no stray light is generatediThe value range of (a); according to the incident angle theta of light from the light source 16iCalculating alpha from the value range of1And selecting a fixed value within the value range; according to the incident angle theta of light from the light source 16iValue range and fixed value alpha of1Calculate theta3And selecting a fixed value within the value range; according to alpha1Calculating alpha from the value range of2+α3Value range of (a)3Is chosen to be constant due to alpha1Taking a fixed value, calculating alpha2A value of (d); selecting theta according to the manufacturing requirement1Is a constant value;
S2, calculating gamma according to the condition that no stray light is generated1And gamma2And let gamma be1=γ2Simultaneously, a constant value is selected in a value range according to gamma1Calculate phi from gamma1And alpha3Calculating P by cutting3According to P3、θ1And alpha3Calculate P2According to P3And gamma1Calculate P1According to P1And P2Calculating theta2;
S3, according to alpha1、α2、α3、γ1、γ2、P1、P2、P3、θ1、θ2、θ3Phi and selecting an initial point to draw the profile of the TIR collimating lens;
wherein the included angle between the line five 14 and the symmetry axis of the TIR collimating lens profile is alpha1The included angle between line five 14 and line six 15 is alpha2The included angle between the line six 15 and the perpendicular direction of the symmetry axis is alpha3;
The angle between the fourth contour 4 and the axis of symmetry is theta1The angle between the fifth contour line 5 and the perpendicular direction of the symmetry axis is theta2The angle between the second contour line 2 and the perpendicular direction of the symmetry axis is theta3;
The angle between line one 10 and the axis of symmetry is gamma2The angle between the line III 12 and the axis of symmetry is gamma1;
The intersection point of the third contour 3 and the fourth contour 4 is P3The intersection point of the fourth contour line 4 and the fifth contour line 5 is P2The intersection point of the fifth contour line 5 and the sixth contour line 6 is P1;
The angle between the eighth contour line 8 and the perpendicular to the axis of symmetry is phi.
Specifically, firstly, in order to prevent the light generated by the light source 16 from generating stray light after passing through the TIR collimating lens, a condition that no stray light is generated is obtained according to a reflection law, a refraction law and a relation between reflectivity and polarization; then, alpha is calculated according to the condition that no stray light is generated1、α2、α3And theta3And taking the value in this embodiment; then, based on the condition that no stray light is generated and in order to eliminate the dark area between the light rays emitted from the light source 16 and passing through the TIR collimating lens, the first line 10 and the third line 12 are required to be deflected inside the TIR collimating lens, and gamma is calculated1And gamma2So that no dark space exists between line one 10 and line three 12, and let γ be1=γ2While simultaneously converting gamma1And gamma2The line I10 and the line III 12 are parallel to each other by a fixed value, so that the line I10 and the line III 12 can be refracted by only one lens surface, the reduction of the number of the lens surfaces of the TIR collimating lens is facilitated, the TIR collimating lens is simple in structure and convenient to manufacture, and the refraction can be finished according to gamma1Phi is calculated to determine the eighth contour line 8 such that line one 10 and line three 12 refract the TIR collimating lens out of the plane in which the eighth contour line 8 lies, according to gamma1And alpha3Calculating P by cutting3Wherein, the cutting method is to calculate the total reflection surface, so that the light ray only reflects and does not refract after passing through the surface where the third contour line 3 is located, and P is3Is an end point of the third contour 3, according to P3、θ1And alpha3Calculate P2According to P3And gamma1Calculate P1According to P1And P2Calculating theta2And finally according to alpha1、α2、α3、γ1、γ2、P1、P2、P3、θ1、θ2And theta3And selecting an initial point to draw the profile of the TIR collimating lens.
Wherein the incident light and the reflected light follow the law of reflection:
θi=θt (1)
in the formula (1) < theta >iIs the angle of incidence, θtIs the angle of reflection;
incident and refracted rays follow the law of refraction:
n in the formula (2)1Is the refractive index of the medium in which the incident light is located, n2The refractive index of the medium in which the light is refracted;
the proportion of incident light that is reflected by the medium interface is called reflectivity, which is related to the polarization of the incident light, and for s-polarization:
r in the formula (3)sIs the reflectance for s-polarization;
for p-polarization, there are:
r in the formula (4)pIs the reflectance for p-polarization;
the light is incident into the air from the lens, and before total reflection occurs, stray light always appears, namely R always existss+Rp>0. In order to verify the capability of the designed lens for removing the stray light, the TracenPro is used, and the designed lens is considered to effectively reduce the stray light when no blue light ray appears during the simulation of the TracenPro. And the threshold for the appearance of blue light by TracePro is Rs+Rp>0.1, i.e., for TracePro, when R iss+Rp>At 0.1, stray light occurs.
Specifically, R is the condition according to which stray light occurss+Rp>0.1, calculating theta by using a dichotomyi>45.6288 deg., i.e., when thetaiNo stray light appears when the temperature is less than or equal to 45.6288 degrees.
According to the condition that no stray light occurs as thetaiNot more than 45.6288 degrees, and calculating alpha by adopting a cutting method117.0333 degrees below zero, i.e., when alpha is1No stray light appears when the temperature is less than or equal to 17.0333 degrees. Wherein alpha is1Can be taken to 17.0333 °17 ° or 16 °, etc., the light ray becomes parallel light after passing through the surface on which the first contour line 1 is located, and only once action occurs, and the energy loss is small, so that the area of the surface on which the first contour line 1 is located is maximized, that is, the first contour line 1 is maximized, so α is taken1=17.0333°。
Specifically, the condition according to which no stray light occurs is θiNot more than 45.6288 DEG, and alpha117.0333 degrees or less according to the formula (90 degrees to theta)i)+(90°-α1)+θ3Calculate θ at 180 °362.6621 DEG or less, i.e. when theta is equal to3No stray light appears when the temperature is less than or equal to 62.6621 degrees. Wherein, theta362.6621 deg., 62 deg., 60 deg., etc., can be taken because of theta3The smaller the lens height, and in order to minimize the lens height, θ is taken3=62.6621°。
In particular, according to α2+α3=90°-α1And α is1Not more than 17.0333 DEG, calculating alpha2+α3≥72.9667°。
Specifically, within the range, a different degree of α3Corresponding to one lens, this embodiment takes a3When the angle is 50 DEG, then alpha2=22.9667°。
Specifically, the condition that no stray light is generated is θi45.6288 degrees or less according to n1 sinθi=n2 sinθtAnd gamma1=θi-θtWherein n is1Is the refractive index of the medium in which the incident light is located, n2Is the refractive index of the medium in which the light is refracted, thetaiIs the angle of incidence of the light, θtFor the angle of reflection of the light, gamma is calculated1Is less than or equal to 17.0333 degrees, namely when gamma is1=γ2No stray light appears when the temperature is less than or equal to 17.0333 degrees.
Wherein, γ1Not more than 17.0333 degrees, and Gamma is treated in the same way2Not more than 17.0333 degrees to ensure no stray light, gamma1=γ2So that the line one 10 and the line three 12 are parallel to each other and the line one 10 and the line three 12 are parallel to each other, thereby ensuring that the line one 10 and the line three 12 can complete refraction only by one lens surface, and being beneficial to reducing the lenses of the TIR collimating lensThe number of faces, wherein gamma is used to make the TIR collimating lens simple in structure and convenient to manufacture1May be taken to be 5 °, 10 °, 15 °, or the like, and in the present embodiment, γ is taken1=γ2=10°。
In particular, the method comprises the following steps of,wherein n is1sinθi=n2sinθt、θiPhi and thetat=θi-γ1。
Wherein, in this embodiment, γ is taken1=γ2=10°,n1=1,n21.4935 where n1Is the refractive index of air, n2Is the refractive index of PMMA according toThe calculation yields Φ 28.8480 °.
In particular, according to gamma1And alpha3Calculating a third contour line 3 by adopting a cutting method, and obtaining an end point P of the third contour line 3 far away from the second contour line 23。
The surface on which the third contour line 3 is located is a total reflection surface, and the light passing through the surface on which the third contour line 3 is located is only reflected and not refracted, and γ in the present embodiment1=10°,α3A coordinate system P is established with the position of the light source 16 as the origin O and the coordinates of the origin O as (0, 0) — 50 °3Has coordinates of (1.9684, 4.2375).
In particular, according to P3、θ1And alpha3The intersection point of the fourth contour line 4, and a line composed of the origin O and the intersection point of the second contour line 2 and the third contour line 3 is calculated as P2。
Wherein, in the present embodiment, according to P3Has the coordinates of (1.9684, 4.2375), theta 12 ° and α3Calculate point P at 50 °2Has coordinates of (2.0318, 2.4215).
In particular, according to P3And gamma1The fifth contour line 5 is calculated, and the intersection point of the fifth contour line 5 and the sixth contour line 6 is P1。
Wherein, P1I.e. the intersection of the fifth contour line 5 and the sixth contour line 66, P1And on the x-axis of the established coordinate system such that P1Is 0, facilitates calculation of coordinates of other points, in this embodiment, according to P3Has the coordinates of (1.9684, 4.2375), gamma1Calculate P at 10 °1Has the coordinates of (2.7156, 0).
In particular, according to P1And P2A fifth contour line 5 is calculated, and theta is calculated from the fifth contour line 52。
In the coordinate system, the analytic expression y of the fifth contour line 5 is calculated to kx + b, and θ is calculated from the slope k2In the present embodiment, according to P1Has coordinates of (2.7156, 0) and P2Has coordinates of (2.0318, 2.4215), and calculates theta2=74.2316°。
In particular, the fourth contour 4 forms an angle θ with the axis of symmetry1And theta1≥2°。
Wherein, the lens is manufactured smoothly by ensuring the convenience of drawing the mold, wherein, theta1Can be taken as 2 degrees, 4 degrees or 6 degrees, and in the embodiment, the theta is taken as1=2°。
Specifically, a coordinate system is established with the position of the light source 16 as the origin O, and a is determined according to α1、α2、α3、γ1、γ2、P1、P2、P3、θ1、θ2And theta3And drawing the profile of the TIR collimating lens.
In this embodiment, the coordinate of the origin O is selected as (0, 0), and the coordinate of the origin is set as (0, 2.2), in summary, α1=17.0333°,α2=22.9667°,α3=50°,γ1=γ2=10°,P1Has the coordinates of (2.7156, 0), P2Has the coordinates of (2.0318, 2.4215), P3Has the coordinates of (1.9684, 4.2375), theta1=2°,θ2=74.2316°,θ3The TIR collimating lens profile is plotted at 62.6621 °.
The present invention also provides a TIR collimating lens profile comprising:
a first contour line 1, wherein the first contour line 1 is positioned in the center of the TIR collimating lens contour, and a connecting line of the light source 16 and one end of the first contour line 1 is a line five 14;
a second contour line 2, wherein the second contour line 2 is positioned at one end of the first contour line 1, and a connecting line of the light source 16 and one end of the second contour line 2 far away from the first contour line 1 is a line six 15;
a third contour line 3, wherein the third contour line 3 is positioned at one end of the second contour line 2 far away from the first contour line 1;
a fourth contour 4, wherein the fourth contour 4 is located at one end of the third contour 3 far away from the second contour 2;
a fifth contour line 5, wherein the fifth contour line 5 is located at one end of the fourth contour line 4 far away from the third contour line 3;
a sixth contour line 6, wherein the sixth contour line 6 is positioned at one end of the fifth contour line 5 far away from the fourth contour line 4;
a seventh contour line 7, wherein the seventh contour line 7 is located at one end of the sixth contour line 6 far away from the fifth contour line 5;
an eighth contour line 8, the eighth contour line 8 being located at an end of the seventh contour line 7 remote from the sixth contour line 6;
a ninth contour line 9, the ninth contour line 9 being located at an end of the eighth contour line 8 remote from the seventh contour line 7;
the intersection line of the end of the second contour line 2 away from the first contour line 1 and the end of the eighth contour line away from the seventh contour line 7 is line one 10, and the intersection line of the end of the third contour line 3 away from the second contour line 2 and the end of the fifth contour line 5 away from the sixth contour line 6 is line three 12.
Wherein, the surface of the first contour line 1 is a refraction surface calculated by a cutting method, and the light emitted by the light source 16 becomes parallel light after passing through the refraction surface; the surface of the second contour line 2 is used for deflecting the light rays emitted by the light source 16; the surface where the third contour line 3 is located is a total reflection surface calculated by a cutting method and used for deflecting the light rays passing through the surface where the second contour line 2 is located; the surface of the fourth contour line 4 does not deflect light, and the fourth contour line 4 and the direction of the symmetry axis form a certain angle, so that the drawing is convenient; the surface of the fifth contour line 5 is used for deflecting the light rays emitted by the light source 16; the surface where the sixth contour line 6 is located is a total reflection surface calculated by a cutting method and used for deflecting the light rays passing through the surface where the fifth contour line 5 is located; the surface where the seventh contour line 7 is located does not deflect light, the seventh contour line 7 can be parallel to the symmetry axis, and the shape of the profile of the TIR collimating lens is ensured to keep certain regularity; the surface where the eighth contour line 8 is located is used for deflecting the light passing through the surface where the third contour line 3 is located and the light passing through the surface where the sixth contour line 6 is located, and only one surface is used, so that the deflection of the line one 10 and the line three 12 can be realized, the number of lens surfaces of the TIR collimating lens can be reduced, and the TIR collimating lens can be ensured to be simple in structure and convenient to process on the premise of realizing the light deflection function; the surface of the ninth contour line 9 is used for deflecting the parallel light passing through the surface of the first contour line 1 and ensuring that the direction of the parallel light is not changed.
Example 2
With reference to fig. 1-3 and 5, the specific angle value of the present embodiment is compared with the technical solution of embodiment 1 when γ is measured1=γ217.0333 DEG, wherein phi 45.6289 DEG and P3Has the coordinates of (1.7345, 3.8915), P2Has the coordinates of (1.7957, 2.1400), P1Has the coordinates of (2.9267, 0), theta2=62.1420°。
The present invention and its embodiments have been described above schematically, without limitation, and what is shown in the drawings is only one of the embodiments of the present invention, and the actual structure is not limited thereto. Therefore, if the person skilled in the art receives the teaching, without departing from the spirit of the invention, the person skilled in the art shall not inventively design the similar structural modes and embodiments to the technical solution, but shall fall within the scope of the invention.
Claims (10)
1. A TIR collimating lens profile simulation method, wherein the simulation method satisfies the condition of not generating stray light, the simulation method comprising:
s1, calculating a light ray incidence angle theta of a light source according to the condition that no stray light is generatediThe value range of (a); according to the incident angle theta of light sourceiCalculating alpha from the value range of1And selecting a fixed value within the value range; according to the incident angle theta of light sourceiValue range and fixed value alpha of1Calculate theta3And selecting a fixed value within the value range; according to alpha1Calculating alpha from the value range of2+α3Value range of (a)3Is chosen to be constant due to alpha1Taking a fixed value, calculating alpha2A value of (d); selecting theta according to the manufacturing requirement1Is a constant value;
s2, calculating gamma according to the condition that no stray light is generated1And gamma2And let gamma be1=γ2Simultaneously, a constant value is selected in a value range according to gamma1Calculate phi from gamma1And alpha3Calculating P by cutting3According to P3、θ1And alpha3Calculate P2According to P3And gamma1Calculate P1According to P1And P2Calculating theta2;
S3, according to alpha1、α2、α3、γ1、γ2、P1、P2、P3、θ1、θ2、θ3Phi and selecting an initial point to draw the profile of the TIR collimating lens;
wherein the included angle between the line five and the symmetry axis of the TIR collimating lens profile is alpha1The included angle between the line five and the line six is alpha2The included angle between the line six and the vertical direction of the symmetry axis is alpha3;
The angle between the fourth contour line and the symmetry axis is theta1The angle between the fifth contour line and the perpendicular direction of the symmetry axis is theta2The angle between the second contour line and the perpendicular direction of the symmetry axis is theta3;
The included angle between the line I and the symmetry axis is gamma2Line three andthe included angle of the symmetry axis is gamma1;
The intersection point of the third contour line and the fourth contour line is P3The intersection point of the fourth contour line and the fifth contour line is P2The intersection point of the fifth contour line and the sixth contour line is P1;
And the angle between the eighth contour line and the symmetry axis in the vertical direction is phi.
2. The method of claim 1 wherein θ is the condition that no stray light is generatedi45.6288 degrees or less according to n1sinθi=n2sinθtAnd gamma1=θi-θtWherein n is1Is the refractive index of the medium in which the incident light is located, n2Is the refractive index of the medium in which the light is refracted, thetaiIs the angle of incidence of the light, θtFor the angle of reflection of the light, gamma is calculated1Is less than or equal to 17.0333 degrees, namely when gamma is1=γ2No stray light appears when the temperature is less than or equal to 17.0333 degrees.
4. The TIR collimating lens profile modeling method of claim 2, wherein the model is based on γ1And alpha3Calculating a third contour line by adopting a cutting method, and obtaining an end point P of the third contour line far away from the second contour line3。
5. The TIR collimating lens profile modeling method of claim 4, wherein P is the number of P3、θ1And alpha3Calculating P as an intersection of the fourth contour, and a line composed of the origin O and an intersection of the second contour and the third contour2。
6. The TIR collimating lens profile modeling method of claim 5, wherein P is the number of P3And gamma1Calculating a fifth contour line, wherein the intersection point of the fifth contour line and the sixth contour line is P1。
7. The TIR collimating lens profile modeling method of claim 6, wherein P is the number of P1And P2Calculating a fifth contour line, and calculating θ from the fifth contour line2。
8. The method of claim 1, wherein the angle between the fourth profile and the symmetry axis is θ1And theta1≥2°。
9. A method for simulating the profile of a TIR collimating lens according to any of claims 1-8, characterized in that the position of the light source is taken as the origin O, a coordinate system is established, and an initial point is selected, based on α1、α2、α3、γ1、γ2、P1、P2、P3、θ1、θ2And theta3And drawing the profile of the TIR collimating lens.
10. A TIR collimating lens profile, a TIR collimating lens profile simulation method according to any of claims 1-9, comprising:
the first contour line is positioned in the center of the TIR collimating lens contour, and a connecting line of the light source and one end of the first contour line is line five;
the second contour line is positioned at one end of the first contour line, and the connection line of the light source and one end of the second contour line, which is far away from the first contour line, is line six;
the third contour line is positioned at one end, far away from the first contour line, of the second contour line;
the fourth contour line is positioned at one end, far away from the second contour line, of the third contour line;
a fifth contour line located at an end of the fourth contour line distal from the third contour line;
the sixth contour line is positioned at one end, far away from the fourth contour line, of the fifth contour line;
a seventh contour line, which is located at one end of the sixth contour line far from the fifth contour line;
the eighth contour line is positioned at one end, far away from the sixth contour line, of the seventh contour line;
a ninth contour line, which is located at one end of the eighth contour line away from the seventh contour line;
the intersection line of one end of the second contour line far away from the first contour line and one end of the eighth contour line far away from the seventh contour line is line one, and the intersection line of one end of the third contour line far away from the second contour line and one end of the fifth contour line far away from the sixth contour line is line three.
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