CN111578233A - Anti-collision lamp - Google Patents

Abstract

The invention discloses an anti-collision lamp, relates to the technical field of electrical lighting of airplanes, and aims to solve the problems of overlarge power, insufficient uniformity of light in a space range, complex structure, poor weather resistance and the like of the traditional anti-collision lamp. The anti-collision lamp comprises a shell, a lens and an LED light source assembly, wherein the lens is embedded in the top of the shell, and the LED light source assembly is positioned in the shell and arranged below the lens; the lens is a rotating body, a conical groove is formed on the upper end surface of the lens, a flat groove is formed on the lower end surface of the lens, and the peripheral surface of the lens is transited from an inclined surface to a spherical surface from top to bottom; the angle range of total reflection of light emitted by the LED light source component through the lens is theta epsilon [0, 46.85 DEG ], and the angle range of refraction is theta epsilon [46.85 DEG, 90 ]. According to the invention, accurate light distribution of the Lambert light source is realized through the free-form surface in a total reflection and refraction mode, so that light distribution and light source protection of light emitted by the LED light source component are realized.

Description

an anti-collision light

technical field

The invention relates to the technical field of aircraft electrical lighting, in particular to an anti-collision lamp.

Background technique

In the running state of the aircraft, the anti-collision lights emit flashing lights at a certain frequency to provide clear position information for other nearby aircraft, and also to remind the nearby personnel and vehicles on the ground that the aircraft engine is running, pay attention to maintaining a safe distance from the aircraft .

At present, most of the anti-collision lights are equipped with traditional light sources, and traditional light sources have the disadvantages of low reliability, short life and high power consumption. With the development of LED technology, aircraft lights using LEDs as light sources have the advantages of low power consumption, low heat generation, long service life, and durability. However, due to the light-emitting mechanism of the LED light source, the light intensity distribution of the emitted light is Lambertian light, which makes it impossible to directly replace the traditional light source with the LED light source and apply it to the anti-collision light.

The existing LED anti-collision lamp products have the following problems: 1) Most of the products are light distribution of reflector cups, and the coating of the reflector cups is prone to oxidation, falling off, etc., which affects the light distribution efficiency and light output effect; 2) The products cannot meet the horizontal circular range. Uniformity of light intensity; 3) The light distribution system of the product requires additional protective structure, resulting in a more complex overall structure of the anti-collision light. Therefore, there is an urgent need for an anti-collision light that can solve the above problems.

SUMMARY OF THE INVENTION

In view of this, the purpose of the present invention is to provide an anti-collision lamp, which is used to solve the problems of excessive power, insufficient uniformity of light in a spatial range, complex structure, and poor weather resistance of traditional anti-collision lamps.

In order to achieve the above object, the technical scheme of the present invention is achieved in this way:

An anti-collision lamp, comprising a casing, a lens and an LED light source assembly, the lens is embedded on the top of the casing, the LED light source assembly is located in the casing and is arranged below the lens; the lens It is a rotating body, the upper end surface of the lens is formed with a conical groove, the lower end surface is formed with a flat groove, and the outer peripheral surface transitions from top to bottom from an inclined surface to a spherical surface to form a total reflection area and a refraction area; the LED light source The angular range of the light emitted from the component for total reflection through the total reflection area is θ∈[0°, 46.85°], and the angle range for refraction through the refraction area is θ∈[46.85°, 90°].

Further, the lens includes a refracting incident surface, a total reflection incident surface, a total reflection reflecting surface, a total reflection exit surface, a transition surface and a refracting exit surface, the refracting incident surface is a rotating surface with a demoulding slope, and the The total reflection incident surface is a plane perpendicular to the light-emitting direction of the LED light source assembly. The refraction incident surface and the total reflection incident surface are connected to form the flat groove; downward to form the tapered groove; the total reflection exit surface, the transition surface and the refraction exit surface are located on the outer peripheral surface, the total reflection exit surface is a cylindrical surface with a demoulding slope, and the total reflection exit surface Below the surface are the concave transition surface and the convex refracting exit surface.

Further, the demolding slope of the refracting incident surface is 5°.

Further, the LED light source assembly includes a printed circuit board and a plurality of LED light sources, and the plurality of the LED light sources are arranged on the printed circuit board in an array; the plurality of the LED light sources are red light sources or white light sources light source.

Further, it also includes a driving power source located in the housing, and the driving device controls and connects the LED light source components to control the flashing of a plurality of the LED light sources, and the flashing frequency is 60 times/min.

Further, a plurality of chambers are built in the casing, and the driving power supply and the LED light source assembly are respectively located in different chambers.

Further, a flange is further provided at the bottom of the lens, a pressure ring is also fixedly connected to the casing, and the casing is fixed by pressing the pressure ring against the flange to fix the lens; A sealing ring is also arranged between the flange and the pressing ring.

Further, the cross section of the sealing ring along the longitudinal direction of the lens is U-shaped, and the material is silicone rubber; the material of the lens is glass.

Further, annular heat dissipation fins are evenly distributed on the outer periphery of one end of the casing close to the driving power source.

Further, the determination of the surface profile of the lens is:

Divide the ray angle θ incident to the lens into two parts, total reflection θ∈[0°, 46.85°], refraction θ∈[46.85°, 90°];

Reflect the outgoing light of total reflection to α∈[85°, 90°], and plan the outgoing total reflection angle α to be several parts, so that the luminous fluxes in Δα are equal to each other, based on

Let ΔΦ _{light source} = ΔΦ _{reflection lens} , and obtain the angle correspondence between the incident light and the outgoing light of the total reflection lens;

According to the unit vector of the outgoing ray of the incident surface, and combined with the geometric relationship of the incident ray, the contour coordinates of the total reflection incident surface are calculated;

Using the law of refraction: n _o ×sinθ=n _i ×sinα

Among them, n _o is the refractive index of air, _ni is the refractive index of the lens, θ is the angle between the incident light and the normal of the incident surface of the total reflection lens, and α is the angle between the outgoing light and the normal of the incident surface; the unit vector of the ray;

When n _o is the refractive index of air, _ni is the refractive index of the lens, θ is the angle between the outgoing ray and the normal of the total reflection lens, and α is the angle between the incident light and the normal of the outgoing surface; the unit vector of ;

Combining the unit vector of light emitted from the total reflection surface and the unit vector of light emitted from the total reflection incident surface, the normal vector of the incident point corresponding to the total reflection surface is obtained by Snell's formula. Snell's formula:

为出射光线单位向量，

为入射光线单位向量，

为入射点处的法线向量；in,

is the unit vector of outgoing rays,

is the incident ray unit vector,

is the normal vector at the incident point;

其中，

为曲面切线，由两个无限接近的相邻点可以近似求得，得到全反射各表面点的集合；The surface coordinate points of total reflection are calculated by using the method of cutting plane iteration and the size of the lens outline:

in,

is the surface tangent, which can be approximated by two infinitely close adjacent points to obtain the set of total reflection surface points;

The starting point of the refracting incident surface is the coordinate point of the total reflection incident surface when the light source angle θ is 46.85°, and the contour coordinates of the refracting incident surface are obtained according to the determined draft angle of the optical chamber and the incident angle of the light source;

The luminous flux required for refraction is: Φ _{refraction lens} = Φ _total - Φ total _{reflection lens}

There is a formula for the light source;

Make ΔΦ _{light source} = ΔΦ _{refraction lens} , and obtain the angle correspondence between the refracted incident light and the outgoing light. The incident light angle and unit vector of the refraction outgoing surface can be calculated from the incident light angle and the refraction law. Combined with the incident light unit vector of the refraction outgoing surface and the Refract the unit vector of the outgoing ray, calculate the normal vector of the corresponding position of the refraction outgoing surface, and use the tangent plane iteration to obtain the outline coordinates of the refraction outgoing surface;

Taking 90° of refracted outgoing rays corresponding to the outgoing rays of the light source at an angle of 90° as the calculation starting point, the coordinate points of the surface contour of the lens are obtained.

Compared with the prior art, the beneficial effects of the present invention are:

空间角内的光线精确分配到需求目标面。具体为通过全反射和折射的方式经由自由曲面后实现了对朗伯光源的精确配光，来实现将角度范围在0°～90°的LED光源组件发出光的光线分成0°～46.85°和46.85°～90°两部分，最终实现对LED出射光全角度范围内光通量完全利用和光源保护的目的。本发明只需要更换不同的LED光源即可实现航空红、航空白等发光形式；并且在结构上更加简单、降低了生产和组装成本的同时，提高了飞机的飞行安全性。According to the design of the luminous characteristics of the Lambertian illuminant, the present invention provides a lens that integrates the function of a refractive lens and a total reflection lens, so as to realize the integration of θ∈[0,π/2],

Light rays within the spatial corners are precisely distributed to the desired target surface. Specifically, the precise light distribution of the Lambertian light source is realized through the free-form surface by means of total reflection and refraction, so as to realize the division of the light emitted by the LED light source assembly with an angle range of 0° to 90° into 0° to 46.85° and 0° to 46.85°. 46.85°～90° two parts, and finally achieve the purpose of fully utilizing the luminous flux and protecting the light source within the full angle range of the LED outgoing light. The invention only needs to replace different LED light sources to realize aviation red, aviation white and other luminous forms; and the structure is simpler, the production and assembly costs are reduced, and the flight safety of the aircraft is improved.

Description of drawings

1 is a schematic structural diagram of an anti-collision light provided by the present invention;

2 is a schematic structural diagram of a lens in an anti-collision lamp provided by the present invention;

3 is a schematic structural diagram of a light source plate in an anti-collision lamp provided by the present invention;

FIG. 4 is a schematic diagram of the light direction of an anti-collision light provided by the present invention.

In the figure, 1—lens, 2—LED light source assembly, 3—sealing ring, 4—pressure ring, 5—drive power supply, 6—shell, 11—total reflection surface, 12—total reflection exit surface, 13—transition Surface, 14—refractive exit surface, 15—flange, 16—total reflection incident surface, 17—refractive incident surface, 21—printed circuit board, 22—LED light source.

Detailed ways

The present invention will be described in detail below with reference to the accompanying drawings.

In the description of the present invention, it should be understood that the terms "center", "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", The orientation or positional relationship indicated by "top", "bottom", "inner", "outer", etc. is based on the orientation or positional relationship shown in the drawings, and is only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying The device or element referred to must have a particular orientation, be constructed and operate in a particular orientation, and therefore should not be construed as limiting the invention.

The terms "first" and "second" are only used for descriptive purposes, and should not be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defined as "first" or "second" may expressly or implicitly include one or more of that feature. In the description of the present invention, unless otherwise specified, "plurality" means two or more.

In the description of the present invention, it should be noted that the terms "installed", "connected" and "connected" should be understood in a broad sense, unless otherwise expressly specified and limited, for example, it may be a fixed connection or a detachable connection Connection, or integral connection; it can be directly connected, or indirectly connected through an intermediate medium, and it can be the internal communication of two elements. For those of ordinary skill in the art, the specific meanings of the above terms in the present invention can be understood in specific situations.

The present invention provides an anti-collision lamp, referring to FIG. 1 , comprising a housing 6, a lens 1 and an LED light source assembly 2, the lens 1 is embedded on the top of the housing 6, and the LED light source assembly 2 is located in the housing The body 6 is arranged below the lens 1; the lens 1 is a rotating body, the upper end surface of the lens 1 is formed with a conical groove, the lower end surface is formed with a flat groove, and the outer peripheral surface is formed from top to bottom. The inclined surface transitions to the spherical surface to form a total reflection area and a refraction area; the angular range of the total reflection of the light emitted from the LED light source assembly 2 through the total reflection area of the lens 1 is θ∈[0°, 46.85°], The angle range of the refraction area of the lens 1 for refraction is θ∈[46.85°, 90°].

According to the design of the luminous characteristics of the Lambertian illuminant, the present invention provides a lens that integrates the function of a refraction lens and a total reflection lens, so as to realize the space of θ∈[0,π/2] and φ∈[0,2π] Rays within the corners are precisely distributed to the desired target surface. Specifically, the precise light distribution of the Lambertian light source is realized through the free-form surface by means of total reflection and refraction, so as to realize the division of the light emitted by the LED light source assembly with an angle range of 0° to 90° into 0° to 46.85° and 0° to 46.85°. 46.85°～90° two parts, and finally achieve the purpose of fully utilizing the luminous flux and protecting the light source within the full angle range of the LED outgoing light. The invention only needs to replace different LED light sources to realize aviation red, aviation white and other luminous forms; and the structure is simpler, the production and assembly costs are reduced, and the flight safety of the aircraft is improved.

Further, as shown in FIG. 2 , the lens 1 includes a refractive incident surface 17 , a total reflection incident surface 16 , a total reflection reflection surface 11 , a total reflection exit surface 12 , a transition surface 13 and a refractive exit surface 14 . The refractive incident surface 17 It is a rotating surface with a demoulding slope, and the demolding slope can be 5°; that is, the total reflection incident surface 16, the total reflection reflection surface 11, and the total reflection exit surface 12 form a total reflection area, and the refracting incident surface 17 and the refracting exit surface 14 make up the refraction zone. The total reflection incident surface 16 is a plane perpendicular to the emitting direction of the LED light source assembly 2 , and the refraction incident surface 17 and the total reflection incident surface 16 are connected to form the flat groove; the total reflection reflection surface 11 It is a rotating body whose generatrix is a curve and the apex is downward to form the conical groove; the total reflection exit surface 12, the transition surface 13 and the refraction exit surface 14 are located on the outer peripheral surface, and the total reflection exit surface 12 is For the cylindrical surface with the demolding slope, below the total reflection and exit surface 12 is an inwardly concave transition surface 13 and an outwardly convex refracting and emergent surface 14 in sequence.

Specifically, the corresponding relationship between the exit angle α and the target space luminous flux is calculated according to the light intensity distribution requirements of the anti-collision lamp in GJB2020A-2012. Referring to Figure 4, the formula used:

Among them, I _α is the light intensity value that changes with the angle obtained by fitting the required light intensity distribution, and Ω is the solid angle of the exit space.

After calculation, it is found that the light angle θ incident on the lens 1 from the LED light source 22 can be divided into two parts: total reflection θ∈[0°, 46.85°], and refraction θ∈[46.85°, 90°]. The total reflection outgoing light is reflected to α∈[85°, 90°], and the luminous flux in Δα is guaranteed to be equal, and Δα is to divide the total reflection outgoing light angle into several equal equal parts (that is, the luminous flux in each angle is equal to One of the equal luminous flux), the formula is:

Make ΔΦ _{light source} =ΔΦ _{reflecting lens} , thereby obtaining the angle correspondence between the incident light rays and the outgoing light rays of the total reflection lens.

The total reflection incident surface 16 is a plane, and the unit vector of the outgoing light from the incident surface is calculated by the law of refraction. Since the incident surface is a plane and has a certain height from the light source, the contour coordinates of the total reflection incident surface 16 can be calculated by the geometric relationship of the incident light.

In particular, due to the molding process, the total reflection exit surface 12 should have a certain demolding angle. The outgoing angle of the outgoing light from the total reflection reflecting surface 11 can be calculated by the formula of the law of refraction.

Using the law of refraction: n _o ×sinθ=n _i ×sinα

Among them, n _o is the refractive index of air, _ni is the refractive index of the lens, θ is the angle between the incident light and the normal of the incident surface of the total reflection lens, and α is the angle between the outgoing light and the normal of the incident surface; the total reflection surface can be obtained. The unit vector of the incident ray.

When no is the refractive index of air _{, ni is} the refractive index of the lens, θ is the angle between the outgoing ray and the normal of the total reflection lens, and α is the angle between the incident light and the normal of the outgoing surface; the total reflection surface can be obtained. The unit vector of the ray.

Combining the unit vector of light emitted from the total reflection surface 11 and the unit vector of light emitted by the total reflection incident surface 16, the normal vector of the incident point corresponding to the total reflection surface 11 can be calculated by Snell formula.

There is Snell's formula:

为出射光线单位向量，

为入射光线单位向量，

为入射点处的法线向量。where n _o is the spatial refractive index of the outgoing light, _ni is the spatial refractive index of the incident light,

is the unit vector of outgoing rays,

is the incident ray unit vector,

is the normal vector at the incident point.

The surface coordinate points of total reflection are calculated by using the method of cutting plane iteration and the outline size of lens 1.

Use the formula:

为曲面切线，由两个无限接近的相邻点可以近似求得。至此得到全反射各表面点的集合。in

is the surface tangent, which can be approximated by two infinitely close adjacent points. So far, the set of total reflection surface points is obtained.

The starting point of the refracting incident surface 17 is the coordinate point of the total reflection incident surface 16 when the light source angle θ is 46.85°.

The luminous flux required for refraction is: Φ _{refraction lens} = Φ _total - Φ total _{reflection lens}

There is a formula for the light source

Make ΔΦ _{light source} =ΔΦ _{refraction lens} , obtain the angle correspondence between refracted incident light rays and outgoing light rays. The incident light rays angle and unit vector of the refracted outgoing surface 14 can be calculated from the incident light ray angle and the refraction law. The normal vector of the corresponding position of the refracting and exiting surface 14 can be calculated by combining the unit vector of the incident light rays and the unit vector of the refracting and exiting light of the refracting exit surface 14 , and the contour coordinates of the refracting exit surface 14 can be calculated by using the method of tangent plane iteration.

In particular, the starting point of the calculation is the refracted outgoing ray corresponding to the 90° refracted outgoing ray when the angle of the outgoing ray of the light source is 90°.

So far, the coordinate points of the surface contour of the lens 1 are obtained, and the model of the lens 1 can be generated by modeling. In particular, due to the influence of the processing technology, the refraction 13 will not be included in the calculation process. As a result, the light intensity value within the output light intensity [0°, 70°] will increase, while the light intensity of [80°, 90°] will increase. Strong is relatively weak. To solve this problem, only a small increase in the estimated power of the light source is required to ensure that the lens 1 meets the target function, and the small amount here is to increase the power of the light source by 2% to 5%.

The lens 1 in an anti-collision lamp provided by the present invention is particularly suitable for the array arrangement of SMD patch light sources and COB light sources due to the above-mentioned light distribution effect. It can save manual assembly, and can make the optical effect more perfect through the optimization of the secondary light distribution design, thereby effectively solving the problem of requiring high power and ensuring the uniformity of the light output of the lens 1 . Secondary light distribution refers to a means by which the emitted light of the LED light source is refracted and reflected by the optical system to meet the lighting requirements. This means lens light distribution. In order to facilitate demolding during manufacturing, the refracting incident surface 17 of the lens 1 has a demolding slope of 5°.

According to the existing LED technology, in order to achieve a sufficiently high target light intensity, dozens of LED light sources for anti-collision lights must be used as illuminants. The array surface is attached to the printed circuit board 21 , and different luminous intensity requirements can be achieved by changing the number of LED light sources 22 , and different luminous color requirements can be achieved by changing the chromaticity of the LED light sources 22 . The LED light source 22 can be an aviation red light source, an aviation white light source, and can be extended to an infrared light source. It can be seen that the anti-collision light provided by the present invention has extremely strong adaptability and compatibility, and only needs to replace different LED light sources to realize aviation red, aviation white and other luminous forms; and it is simpler in structure and reduces production. While reducing the assembly cost, the flight safety of the aircraft is improved.

It can be understood that it also includes a driving power source 5 located in the housing 6, and the driving device controls and connects the LED light source assembly 2. The anti-collision light provided by the present invention is fixed on the aircraft fuselage through the housing 6, The flashing is realized through the control of the driving power supply 5, and the driving power supply 5 drives the LED light source 22 to maintain the flashing strobe operation of 60 times per minute. Compared with the anti-collision light used in the current aircraft, the structure is simple, and there is no need to add a lampshade to protect the light source and optical system, which improves the sealing performance and reliability of the anti-collision light, and is more convenient for maintenance.

Further, the casing 6 has several built-in chambers, and the driving power source 5 and the LED light source assembly 2 are respectively located in different chambers. There are two advantages of arranging the driving power source 5 and the LED light source assembly 2 in separate chambers: the first is that the two heat sources are placed separately to facilitate heat dissipation; the second is that they have an electromagnetic shielding effect.

In order to facilitate the installation of the lens 1 and ensure the sealing performance of the product, a flange 15 is also provided on the bottom circle of the lens 1 . In addition, a pressing ring 4 is also fixedly connected to the housing 6 , and the housing 6 fixes the lens 1 by pressing the pressing ring 4 against the flange; the flange and the pressing ring There is also a sealing ring 3 between 4, the sealing ring 3 is wrapped on the flange 15, the pressure ring 4 and the shell 6 are connected by thread or screw installation, and the sealing ring 3 wrapped on the flange 15 is squeezed during installation, A certain amount of compression is generated, so as to play a sealing role.

Preferably, the cross section of the sealing ring 3 along the longitudinal direction of the lens 1 is U-shaped, and the material is silicone rubber.

More preferably, annular heat dissipation fins are evenly distributed on the outer periphery of one end of the casing 6 close to the driving power source 5 . By arranging multiple layers of fins on the housing 6, the heat emitted by the LED light source 22 can be quickly dissipated into the air.

In order to improve the light distribution effect, the material of the lens 1 is glass, although the price is higher than that of plastic material, but the effect is better.

The content of the present invention is not limited to those listed in the embodiments, and any equivalent transformations taken by those of ordinary skill in the art to the technical solutions of the present invention by reading the description of the present invention are covered by the claims of the present invention.

Claims (10)

1. An anti-collision lamp, its characterized in that: the LED lamp comprises a shell, a lens and an LED light source assembly, wherein the lens is embedded in the top of the shell, and the LED light source assembly is positioned in the shell and arranged below the lens; the lens is a rotating body, a conical groove is formed on the upper end surface of the lens, a flat groove is formed on the lower end surface of the lens, and the peripheral surface of the lens is transited from an inclined surface to a spherical surface from top to bottom to form a total reflection area and a refraction area; the angle range of the light emitted by the LED light source component totally reflected by the total reflection region is theta epsilon [0 degrees ] and 46.85 degrees ], and the angle range of the light refracted by the refraction region is theta epsilon [46.85 degrees ] and 90 degrees ].

2. The anti-collision lamp according to claim 1, characterized in that: the lens comprises a refraction incidence surface, a total reflection surface, a total reflection emergent surface, a transition surface and a refraction emergent surface from the upper end surface to the lower end surface;

the refraction incidence surface is a rotating surface with demoulding inclination, the total reflection incidence surface is a plane vertical to the light emitting direction of the LED light source component, and the refraction incidence surface and the total reflection incidence surface are connected to form the flat groove; the total reflection reflecting surface is a rotating body with a curved bus and a downward vertex so as to form the conical groove; the total reflection emergent surface, the transition surface and the refraction emergent surface are positioned on the peripheral surface, the total reflection emergent surface is a cylindrical surface with a demoulding inclination, and the concave transition surface and the convex refraction emergent surface are sequentially arranged below the total reflection emergent surface.

3. The anti-collision light of claim 2, wherein: the demolding inclination of the refraction incidence surface is 5 degrees.

4. The anti-collision lamp according to claim 1 or 2, characterized in that: the LED light source assembly comprises a printed circuit board and a plurality of LED light sources, and the LED light sources are arranged on the printed circuit board in an array form; the LED light sources are red light sources or white light sources.

5. The anti-collision light of claim 4, wherein: the LED lamp is characterized by further comprising a driving power supply located in the shell, and the driving device is connected with the LED light source assembly in a control mode to control the LED light sources to flicker.

6. The anti-collision light of claim 5, wherein: the shell is internally provided with a plurality of cavities, and the driving power supply and the LED light source assembly are respectively positioned in different cavities.

7. The anti-collision light of claim 6, wherein: a flange is further arranged at one circle of the bottom of the lens, a pressing ring is further fixedly connected to the shell, and the shell fixes the lens by pressing the flange with the pressing ring; and a sealing ring is also arranged between the flange and the pressing ring.

8. The anti-collision light of claim 7, wherein: the section of the sealing ring along the longitudinal direction of the lens is U-shaped, and the sealing ring is made of silicon rubber; the lens is made of glass.

9. The anti-collision light of claim 8, wherein: annular heat radiating fins are uniformly distributed on the periphery of one end, close to the driving power supply, of the shell.

10. An anti-collision light as claimed in claim 1 or 2, characterised in that the surface profile of the lens is determined as:

dividing the angle theta of light rays incident to the lens into two parts, wherein the total reflection theta belongs to [0 DEG, 46.85 DEG ], and the refraction theta belongs to [46.85 DEG, 90 DEG ];

reflecting the totally reflected emergent light to alpha epsilon to [85 degrees, 90 degrees ], planning the emergent total reflection angle alpha to be a plurality of parts, and enabling the luminous fluxes in delta alpha to be equal to each other based on

Let Δ Φ_{Light source}＝ΔΦ_{Reflective lens}Obtaining the angle corresponding relation between the incident light and the emergent light of the total reflection lens;

calculating to obtain the contour coordinate of the total reflection incident surface according to the unit vector of the emergent light of the incident surface and the geometric relation of the incident light;

using the law of refraction: n is_o×sinθ＝n_i×sinα

Wherein n is_oIs the refractive index of air, n_iIs the refractive index of the lens, theta is the included angle between the incident light and the normal of the incident surface of the total reflection lens, α is the included angle between the emergent light and the normal of the incident surface, and the unit direction of the incident light of the total reflection surface is obtainedAn amount;

when n is_oIs the refractive index of air, n_iThe refractive index of the lens is theta, the included angle between the emergent light ray of the total reflection lens and the normal is theta, α is the included angle between the incident light ray of the emergent surface and the normal, and the unit vector of the emergent light ray of the total reflection surface is obtained;

combining the unit vector of the emergent ray of the total reflection reflecting surface and the unit vector of the emergent ray of the total reflection incident surface, and obtaining a normal vector of the total reflection reflecting surface corresponding to an incident point through a Snell formula:

wherein,

is a unit vector of the outgoing light,

is the unit vector of the incident light ray,

is the normal vector at the point of incidence;

calculating the coordinate point of the totally reflected curved surface by using a tangent plane iteration method and the outline size of the lens:

wherein,

the surface is a curved surface tangent line, and two adjacent points which are infinitely close can be approximately solved to obtain a set of all surface points of total reflection;

the starting point of the refraction incidence surface is a coordinate point of the total reflection incidence surface when the light source angle theta is 46.85 degrees, and the contour coordinate of the refraction incidence surface is obtained according to the determined demoulding inclination of the light chamber and the light source incidence angle;

the light flux that needs to be emitted by refraction is: phi_{Refractive lens}＝Φ_{General assembly}-Φ_{Total reflection lens}

There are formulas for light sources;

so that Δ Φ_{Light source}＝ΔΦ_{Refractive lens}Obtaining the angle corresponding relation between the refraction incident light and the refraction emergent light, calculating the incident light angle and the unit vector of the refraction emergent surface according to the incident light angle and the refraction law, calculating the normal vector of the corresponding position of the refraction emergent surface by combining the incident light unit vector and the refraction emergent light unit vector of the refraction emergent surface, and obtaining the contour coordinate of the refraction emergent surface by utilizing tangent plane iteration;

and taking the light ray corresponding to the refracted emergent ray of 90 degrees when the emergent ray angle of the light source is 90 degrees as a calculation starting point to obtain a coordinate point of the surface contour of the lens.

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