CN106051507A - Anti-dazzle LED directional lamp based on photo-thermal integrated design and implementation method thereof - Google Patents

Abstract

The invention discloses an anti-dazzle LED directional lamp based on photo-thermal integrated design. The anti-dazzle LED directional lamp comprises a PCB, wherein the PCB is arranged in a shell; a reflection cup is connected with the PCB; an LED base plate is arranged in the reflection cup and is connected with a Fresnel lens; a fly's-eye lens is connected with the top of the reflection cup. The invention further discloses an implementation method of the anti-dazzle LED directional lamp based on photo-thermal integrated design. The anti-dazzle LED directional lamp based on photo-thermal integrated design has the characteristics of simple structure, low cost, excellent uniformity, low energy consumption, less luminous decay, excellent heat dissipation and the like.

Description

Anti-dazzle LED oriented lamp based on light-heat integration design and its implementation

Technical field

The present invention relates to LED technology, a kind of anti-dazzle LED oriented lamp based on light-heat integration design and Its implementation.

Background technology

Illuminating industry COB chip cost performance is the highest the most both at home and abroad, and SMD paster module is because unit are light efficiency is high and price The cheap advantage that becomes, but because techniques below can be there is when single source chip has relative independentability, luminous intensity distribution and heat dissipation design Problem: 1, SMD paster module unit are light efficiency is high, thus when densely arranged, temperature is too high and cause energy consumption high, optical attenuation Seriously；2, secondary light-distribution design illuminance uniformity difficulty controls so that whole lantern festival produces dizziness effect；3, poor radiation.

Summary of the invention

It is an object of the invention to the deficiency overcoming above prior art to exist, it is provided that a kind of simple in construction, cost are just Preferably, the anti-dazzle LED oriented lamp based on light-heat integration design that uniformity is good, it is low to consume energy, light decay is few and thermal diffusivity is good.

Present invention also offers the implementation method of a kind of anti-dazzle LED oriented lamp based on light-heat integration design.

In order to achieve the above object, the present invention is by the following technical solutions: anti-dazzle LED based on light-heat integration design is fixed To lamp, including pcb board, pcb board is located in shell, and reflector is connected with pcb board, and LED-baseplate is located in reflector, LED-baseplate Being connected with Fresnel Lenses, fly's-eye lens is connected with reflector top.

Described LED-baseplate fits with reflector, and reflector and shell are to laminating；Reflector inner surface is that free form surface sets Meter.

Described shell is heat-conducting plastic shell.

Described fly's-eye lens surface is the alveolate texture after cloudy surface processes.

Described Fresnel Lenses outer is provided with snap fit, and snap fit clasps bottom reflector.

The surface of described Fresnel Lenses is provided with the first adjustable type free form surface；Fly's-eye lens surface is provided with the second adjustable type Free form surface.

Described Fresnel Lenses is located on the focal length of fly's-eye lens.

The reflecting surface of described reflector is provided with electroplating aluminum coating.

Described Fresnel Lenses surface uses Fresnel concentric design.

The implementation method of above-mentioned anti-dazzle LED oriented lamp based on light-heat integration design, comprises the following steps:

(1), reflector Random Curved Surface Designing

The reflector design of free form surface is a kind of compensating form optics inadequate for LED Lambertian light source center light intensity The reflection mainly by reflector inwall free form surface that adjusts of design, i.e. reflector type shot-light central light strength completes；Will be anti- Light cup carries out slicing and free form surface is converted into free curve carries out optical design；If two free curve is reflector tangent plane Inwall, light is beaten at peak, i.e. compensate in the angular range that optics is α 0, it is assumed that angle of reflection is β, then it is with vertical direction The deviation angle is θ 0, according to integration and rim ray principle, can will be divided into N section, i.e. △ Zn=h/N to peak bottom reflector The sequence number of point coordinates (N=0,1,2,3........N represent).According to reflection law, obtain following geometrical relationship:

${\mathrm{\α}}_n=\arctan \frac{z_n}{x_n}\mathrm{...}\left(1\right)$

${\mathrm{\β}}_n=\frac{1}{2}(\frac{\mathrm{\π}}{2}+({\mathrm{\α}}_n-{\mathrm{\θ}}_n\left)\right)\mathrm{...}\left(2\right)$

$\frac{{\mathrm{\Δz}}_n}{{\mathrm{\Δx}}_n}=\tan (\frac{\mathrm{\π}}{2}-{\mathrm{\β}}_n+{\mathrm{\α}}_n)\mathrm{...}\left(3\right)$

z_n+1=z_n-Δz_n------------------------(4)

x_n+1=x_n-Δx_n------------------------(5)；

Initial respective conditions is following relation:

z₀=h

$x_0=h/\tan (\frac{\mathrm{\π}}{2}-\mathrm{\φ})$

${\mathrm{\θ}}_0=\mathrm{\φ}=arctan\frac{R}{H}$

${\mathrm{\β}}_0=\frac{\mathrm{\π}}{4}+\frac{1}{2}({\mathrm{\α}}_0-{\mathrm{\θ}}_0);$

I.e. can calculate the coordinate of multiple point, be connected with smoothed curve, then rotate, just can get optical design institute The reflector needed；

(2), Fresnel Lenses design

Incident ray resolves into two components, and one of them component being perpendicular to the plane of incidence claims S component, and another is entering P component is claimed in penetrating face；

For component S

Wherein,

By field boundary condition

?

ω₁=ω₁'=ω₂cos i_1y'=0, cos i_2y=0；

I.e. draw incident ray, reflection light and refraction light can at grade, and:

k₁sin i₁=k₁sin i₁'=k₂sin i₂

i₁=i₁′

n₁sini₁=n₂sini₂；

I.e. Fresnel is given at separating surface, incidence wave, and echo and refracted wave amplitude relation on S component be:

$\begin{array}{cc}{r}_s=\frac{A_{1s}^{\′}}{A_{1s}}=\frac{\sin (i_2-i_1)}{\sin (i_2+i_1)}& t_s=\frac{A_{2s}}{A_{1s}}=\frac{2\sin i_2\cos i_1}{\sin (i_1+i_2)}\end{array};$

Due to S component and the position relationship of P component, meet screw law, i.e. can calculate P component successively Amplitude relation.The most S component and P component by calculating are overlapped through principle of stacking, just can show that Fresnel is saturating First adjustable type free form surface of mirror；

(3), fly's-eye lens design

Light realizes the orientation trend of required light through incident sphere and twice refraction of outgoing sphere；

Regarding LED illuminating source as point source, when light reflects through pearl face, the ray vectors of its refraction point injection is I:

The light source angle of emergence is φ 1, and angle of incidence and the angle of emergence on sphere are respectively α 1 and α 2, i.e.

φ I=φ 1-α 1+ α 2；

In the case of θ is identical, the face type parameter of free form surface and φ 1, the relation of α 1 and α 2 is:

$\frac{\mathrm{\ρ}}{\sin (\mathrm{\α}1-\mathrm{\α}2)}=\frac{\sin (\mathrm{\φ}1-\mathrm{\α}1)\×R}{\sin \mathrm{\φ}1\sin (\mathrm{\α}1-\mathrm{\α}2-\mathrm{\φ}1+\mathrm{\φ})};$

When target face is Uniform Illumination, owing to LED is that bright rich body is luminous and rotationally symmetrical, it may be assumed that

I [I (φ)]=I × cos φ

$\mathrm{\φ}1=0.5\×ar\cos \[1-\frac{8\×E\×X\×Y}{I\×\mathrm{\π}}\];$

In formula, X and Y is the summit coordinate figure at first quartile, determines that Φ i.e. determines the θ value at first quartile；

$\mathrm{\θ}=\frac{y^{\′}}{Y}\×\frac{\mathrm{\π}}{4};\mathrm{........0}\≤\mathrm{\θ}\≤\frac{\mathrm{\π}}{4}$

$\mathrm{\θ}=\frac{X-x^{\′}}{X}\×\frac{\mathrm{\π}}{4}+\frac{\mathrm{\π}}{4};\mathrm{.....}\frac{\mathrm{\π}}{4}\≤\mathrm{\θ}\≤\frac{\mathrm{\π}}{2};$

Therefore deduce that the position coordinates of this refraction point, in like manner can draw the position coordinates of other points, then by these It is exactly the second free form surface on required fly's-eye lens that position coordinates connects with smooth curve；

(4), assembling

Being connected with pcb board by reflector, LED-baseplate is located in reflector, and LED-baseplate is connected with Fresnel Lenses, compound eye Lens are connected with reflector top, and pcb board is located in shell, complete assembling.

The present invention, relative to prior art, has such advantages as and effect:

1, the present invention includes that pcb board, pcb board are located in shell, and reflector is connected with pcb board, and LED-baseplate is located at reflector In, LED-baseplate is connected with Fresnel Lenses, and fly's-eye lens is connected with reflector top；There is simple in construction, low cost, all The feature such as even property is good, it is low to consume energy, light decay is few and thermal diffusivity is good.

2, the present invention is by optically and thermally integrated design, and the reflecting surface of reflector is provided with electroplating aluminum coating, and light minute surface is anti- Penetrate, it is achieved SMD paster module arrow beam of light angle is designed, synchronize, because electroplating surface aluminum processes, to add surface heat radiation.

3, the Fresnel Lenses in the present invention uses Fresnel principle optical design, reduces material and increases light transmittance, compound eye Lens surface adds honeycomb microstructure and makes hot spot uniformly reduce spinning sensation, and Fresnel Lenses is arranged on Jiao of fly's-eye lens Improve central light strength on away from, the most overall parcel chip design, be added to protect chip by outside contamination, play isolation and Safeguard protection effect.

4, the fly's-eye lens edge in the present invention arranges interior snap fit, bonding by glue with shell, plays 100% waterproof work With.

5, the light efficiency in the present invention can accomplish more than 85lm/W, promotes 30% than traditional COB shot-light light efficiency.

6, the reflector that the present invention produces with this simple shaped form of spinning replaces former reflector and the knot of aluminum radiating seat Conjunction form, reduces Supplier Number, decreases the process of whole lamp assembling, improves the availability of reflector, improves on line The ability produced.

Accompanying drawing explanation

Fig. 1 is the detonation configuration schematic diagram of anti-dazzle LED oriented lamp based on light-heat integration design；

Fig. 2 is that the reflector in the present invention is close to schematic diagram with shell；

Fig. 3 is the Fresnel Lenses schematic diagram in the present invention；

Fig. 4 is that the fly's-eye lens in the present invention assembles schematic diagram with shell；

Fig. 5 is that the light after the slicing in the present invention moves towards figure；

Fig. 6 is the Fresnel Lenses design principle figure in the present invention；

Fig. 7 is that the light of the fly's-eye lens design in the present invention moves towards figure.

In figure, label is as follows with title:

1	Pcb board	2	Shell
				3	LED-baseplate	4	Reflector
5	Fresnel Lenses	6	Fly's-eye lens
				7	Snap fit

Detailed description of the invention

For ease of it will be appreciated by those skilled in the art that below in conjunction with the accompanying drawings and the present invention is made the most specifically by embodiment Bright.

Embodiment 1:

As shown in Fig. 1～7, a kind of anti-dazzle LED oriented lamp based on light-heat integration design, including pcb board, pcb board sets In shell, reflector is connected with pcb board, and LED-baseplate is located in reflector, and LED-baseplate is connected with Fresnel Lenses, and compound eye is saturating Mirror is connected with reflector top.

LED-baseplate in the present embodiment fits with reflector, and reflector and shell are to laminating；Reflector inner surface is certainly By curved design；Shell is heat-conducting plastic shell.

Fly's-eye lens surface in the present embodiment is the alveolate texture after cloudy surface processes；Fresnel Lenses outer is provided with card Hooking, snap fit clasps bottom reflector；Fly's-eye lens edge arranges interior snap fit, bonding by glue with shell, plays 100% waterproof Effect.

The surface of the Fresnel Lenses in the present embodiment is provided with the first adjustable type free form surface；Fly's-eye lens surface is provided with Two adjustable type free form surfaces；Fresnel Lenses is located on the focal length of fly's-eye lens.

The reflecting surface of the reflector in the present embodiment is provided with electroplating aluminum coating, synchronizes, because electroplating surface aluminum processes, to add table Fever sensation of the face radiates, and reflector is close to shell, and heat is directly delivered on cabinet by reflector, decreases the heat of air Resistance；Fresnel Lenses surface uses Fresnel concentric design, well ensures that light collimation controls while saving material, The most overall parcel chip design, is added to protect chip and receives outside contamination, play isolation and safeguard protection effect.

The present embodiment, in order to waterproof, assembles the equal gluing of structure at shell and fly's-eye lens waterproof.

The implementation method of above-mentioned anti-dazzle LED oriented lamp based on light-heat integration design, comprises the following steps:

(1), reflector Random Curved Surface Designing

The reflector design of free form surface is a kind of compensating form optics inadequate for LED Lambertian light source center light intensity The reflection mainly by reflector inwall free form surface that adjusts of design, i.e. reflector type shot-light central light strength completes；Will be anti- Light cup carries out slicing and free form surface is converted into free curve carries out optical design；After slicing light trend as it is shown in figure 5, If two free curve is reflector tangent plane inwall, light is beaten at peak, i.e. compensates in the angular range that optics is α 0, it is assumed that Angle of reflection is β, then it is θ 0 with the deviation angle of vertical direction, according to integration and rim ray principle, and can be by bottom reflector It is divided into N section, i.e. △ Zn=h/N (N=0,1,2,3........N represents the sequence number of a point coordinates) to peak.According to reflection Law, obtains following geometrical relationship:

${\mathrm{\α}}_n=\arctan \frac{z_n}{x_n}\mathrm{...}\left(1\right)$

${\mathrm{\β}}_n=\frac{1}{2}(\frac{\mathrm{\π}}{2}+({\mathrm{\α}}_n-{\mathrm{\θ}}_n\left)\right)\mathrm{...}\left(2\right)$

$\frac{{\mathrm{\Δz}}_n}{{\mathrm{\Δx}}_n}=\tan (\frac{\mathrm{\π}}{2}-{\mathrm{\β}}_n+{\mathrm{\α}}_n)\mathrm{...}\left(3\right)$

z_n+1=z_n-Δz_n------------------------(4)

x_n+1=x_n-Δx_n------------------------(5)；

Initial respective conditions is following relation:

z₀=h

$x_0=h/\tan (\frac{\mathrm{\π}}{2}-\mathrm{\φ})$

${\mathrm{\θ}}_0=\mathrm{\φ}=arctan\frac{R}{H}$

${\mathrm{\β}}_0=\frac{\mathrm{\π}}{4}+\frac{1}{2}({\mathrm{\α}}_0-{\mathrm{\θ}}_0);$

I.e. can calculate the coordinate of multiple point, be connected with smoothed curve, then rotate, just can get optical design institute The reflector needed；

(2), Fresnel Lenses design

Light, to PC lens, can occur reflection and refraction at lens surface, and just have wave particle dualism, therefore Light can be propagated in the form of an electromagnetic wave, i.e. can obtain light on Fresnel Lenses surface according to the boundary condition of electromagnetic field Reflection and the law of refraction, solve light in the intensity distribution problem of lens surface；

As shown in Figure 6, incident ray resolving into two components, one of them component being perpendicular to the plane of incidence claims S component, Another claims P component in the plane of incidence；

For component S

Wherein,

By field boundary condition

?

ω₁=ω₁'=ω₂cos i_1y'=0, cos i_2y=0；

I.e. draw incident ray, reflection light and refraction light can at grade, and:

k₁sin i₁=k₁sin i₁'=k₂sin i₂

i₁=i₁' (angle of incidence is equal to angle of reflection)

n₁sini₁=n₂sini₂；

I.e. Fresnel is given at separating surface, incidence wave, and echo and refracted wave amplitude relation on S component be:

$\begin{array}{cc}{r}_s=\frac{A_{1s}^{\′}}{A_{1s}}=\frac{\sin (i_2-i_1)}{\sin (i_2+i_1)}& t_s=\frac{A_{2s}}{A_{1s}}=\frac{2\sin i_2\cos i_1}{\sin (i_1+i_2)}\end{array};$

Due to S component and the position relationship of P component, meet screw law, i.e. can calculate P component successively Amplitude relation.The most S component and P component by calculating are overlapped through principle of stacking, just can show that Fresnel is saturating First adjustable type free form surface of mirror；

(3), fly's-eye lens design

Light realizes the orientation trend of required light through incident sphere and twice refraction of outgoing sphere, such as Fig. 7 Shown in:

Regarding LED illuminating source as point source, when light reflects through pearl face, the ray vectors of its refraction point injection is I:

The light source angle of emergence is φ 1, and angle of incidence and the angle of emergence on sphere are respectively α 1 and α 2, i.e.

φ I=φ 1-α 1+ α 2；

In the case of θ is identical, the face type parameter of free form surface and φ 1, the relation of α 1 and α 2 is:

R is the radius of sphere；

When target face is Uniform Illumination, owing to LED is that bright rich body is luminous and rotationally symmetrical, it may be assumed that

I [I (φ)]=1 × cos φ

$\mathrm{\φ}1=0.5\×ar\cos \[1-\frac{8\×E\×X\×Y}{I\×\mathrm{\π}}\];$

In formula, X and Y is the summit coordinate figure at first quartile, determines that Φ i.e. determines the θ value at first quartile；

$\mathrm{\θ}=\frac{y^{\′}}{Y}\×\frac{\mathrm{\π}}{4};\mathrm{........0}\≤\mathrm{\θ}\≤\frac{\mathrm{\π}}{4}$

$\mathrm{\θ}=\frac{X-x^{\′}}{X}\×\frac{\mathrm{\π}}{4}+\frac{\mathrm{\π}}{4};\mathrm{.....}\frac{\mathrm{\π}}{4}\≤\mathrm{\θ}\≤\frac{\mathrm{\π}}{2};$

Therefore deduce that the position coordinates of this refraction point, in like manner can draw the position coordinates of other points, then by these It is exactly the second free form surface on required fly's-eye lens that position coordinates connects with smooth curve；

(4), assembling

Being connected with pcb board by reflector, LED-baseplate is located in reflector, and LED-baseplate is connected with Fresnel Lenses, compound eye Lens are connected with reflector top, and pcb board is located in shell, complete assembling.

Above-mentioned detailed description of the invention is the preferred embodiments of the present invention, can not limit the invention, appointing of other What was made without departing from technical scheme changes or the substitute mode of other equivalence, is included in the protection of the present invention Within the scope of.

Claims (10)

1. anti-dazzle LED oriented lamp based on light-heat integration design, it is characterised in that: include that pcb board, pcb board are located in shell, Reflector is connected with pcb board, and LED-baseplate is located in reflector, and LED-baseplate is connected with Fresnel Lenses, and fly's-eye lens is with reflective Cup top connects.

Anti-dazzle LED oriented lamp based on light-heat integration design the most according to claim 1, it is characterised in that: described LED Substrate fits with reflector, and reflector and shell are to laminating；Reflector inner surface is Random Curved Surface Designing.

Anti-dazzle LED oriented lamp based on light-heat integration design the most according to claim 1, it is characterised in that: outside described Shell is heat-conducting plastic shell.

Anti-dazzle LED oriented lamp based on light-heat integration design the most according to claim 1, it is characterised in that: described multiple Eyelens surface is the alveolate texture after cloudy surface processes.

Anti-dazzle LED oriented lamp based on light-heat integration design the most according to claim 1, it is characterised in that: described phenanthrene Nie Er lens outer is provided with snap fit, and snap fit clasps bottom reflector.

Anti-dazzle LED oriented lamp based on light-heat integration design the most according to claim 1, it is characterised in that: described phenanthrene The surface of Nie Er lens is provided with the first adjustable type free form surface；Fly's-eye lens surface is provided with the second adjustable type free form surface.

Anti-dazzle LED oriented lamp based on light-heat integration design the most according to claim 1, it is characterised in that: described phenanthrene Nie Er lens are located on the focal length of fly's-eye lens.

The most according to claim 1 based on light-heat integration design anti-dazzle LED oriented lamp, it is characterised in that: described instead The reflecting surface of light cup is provided with electroplating aluminum coating.

Anti-dazzle LED oriented lamp based on light-heat integration design the most according to claim 1, it is characterised in that: described phenanthrene Nie Er lens surface uses Fresnel concentric design.

10. according to the realization side of the anti-dazzle LED oriented lamp based on light-heat integration design described in any one of claim 1～9 Method, it is characterised in that comprise the following steps:

(1), reflector Random Curved Surface Designing

The reflector design of free form surface is to set for a kind of compensating form optics that LED Lambertian light source center light intensity is inadequate The reflection mainly by reflector inwall free form surface that adjusts of meter, i.e. reflector type shot-light central light strength completes；By reflective Cup carries out slicing and free form surface is converted into free curve carries out optical design；If in two free curve is reflector tangent plane Wall, light is beaten at peak, i.e. compensates in the angular range that optics is α 0, it is assumed that angle of reflection is β, then its inclined with vertical direction It is θ 0 to angle, according to integration and rim ray principle, can will be divided into N section, i.e. △ Zn=h/N (N to peak bottom reflector =0,1,2,3........N represents the sequence number of a point coordinates).According to reflection law, obtain following geometrical relationship:

${\mathrm{\α}}_n=\arctan \frac{z_n}{x_n}...\left(1\right)$

${\mathrm{\β}}_n=\frac{1}{2}(\frac{\mathrm{\π}}{2}+({\mathrm{\α}}_n-{\mathrm{\θ}}_n\left)\right)...\left(2\right)$

$\frac{{\mathrm{\Δz}}_n}{{\mathrm{\Δx}}_n}=\tan (\frac{\mathrm{\π}}{2}-{\mathrm{\β}}_n+{\mathrm{\α}}_n)...\left(3\right)$

Z_n+1=Z_n-ΔZ_n------------------------(4)

x_n+1=x_n-Δx_n------------------------(5)；

Initial respective conditions is following relation:

z₀=h

$x_0=h/\tan (\frac{\mathrm{\π}}{2}-\mathrm{\φ})$

${\mathrm{\θ}}_0=\mathrm{\φ}=\arctan \frac{R}{H}$

${\mathrm{\β}}_0=\frac{\mathrm{\π}}{4}+\frac{1}{2}({\mathrm{\α}}_0-{\mathrm{\θ}}_0);$

I.e. can calculate the coordinate of multiple point, be connected with smoothed curve, then rotate, needed for just can get optical design Reflector；

(2), Fresnel Lenses design

Incident ray resolves into two components, and one of them component being perpendicular to the plane of incidence claims S component, and another is at the plane of incidence Interior title P component；

For component S

Wherein,

By field boundary condition

?

ω₁=ω₁'=ω₂ cosi_1y'=0, cosi_2y=0；

I.e. draw incident ray, reflection light and refraction light can at grade, and:

k₁sin i₁=k₁sin i₁'=k₂sin i₂

i₁=i₁′

n₁sini₁=n₂sini₂；

I.e. Fresnel is given at separating surface, incidence wave, and echo and refracted wave amplitude relation on S component be:

$\begin{array}{cc}{r}_s=\frac{A_{1s}^{\′}}{A_{1s}}=\frac{\sin \left(i_2-i_1\right)}{\sin \left(i_2+i_1\right)}& t_s=\frac{A_{2s}}{A_{1s}}=\frac{2\sin i_2\cos i_1}{\sin \left(i_1+i_2\right)}\end{array};$

Due to S component and the position relationship of P component, meet screw law, i.e. can calculate the amplitude of P component successively Relation.The most S component and P component by calculating are overlapped through principle of stacking, just can draw Fresnel Lenses First adjustable type free form surface；

(3), fly's-eye lens design

Light realizes the orientation trend of required light through incident sphere and twice refraction of outgoing sphere；

Regarding LED illuminating source as point source, when light reflects through pearl face, the ray vectors of its refraction point injection is I:

The light source angle of emergence is φ 1, and angle of incidence and the angle of emergence on sphere are respectively α 1 and α 2, i.e.

φ 1=φ 1-α 1+ α 2；

In the case of θ is identical, the face type parameter of free form surface and φ 1, the relation of α 1 and α 2 is:

$\frac{\mathrm{\ρ}}{\sin (\mathrm{\α}1-\mathrm{\α}2)}=\frac{sin(\mathrm{\φ}1-\mathrm{\α}1)\×R}{\sin \mathrm{\φ}1\sin (\mathrm{\α}1-\mathrm{\α}2-\mathrm{\φ}1+\mathrm{\φ})};$

When target face is Uniform Illumination, owing to LED is that bright rich body is luminous and rotationally symmetrical, it may be assumed that

I [I (φ)]=I × cos φ

In formula, X and Y is the summit coordinate figure at first quartile, determines that Φ i.e. determines the θ value at first quartile；

$\mathrm{\θ}=\frac{y^{\′}}{Y}\×\frac{\mathrm{\π}}{4};\mathrm{........0}\≤\mathrm{\θ}\≤\frac{\mathrm{\π}}{4}$

$\mathrm{\θ}=\frac{X-x^{\′}}{X}\×\frac{\mathrm{\π}}{4}+\frac{\mathrm{\π}}{4};\mathrm{.....}\frac{\mathrm{\π}}{4}\≤\mathrm{\θ}\≤\frac{\mathrm{\π}}{2};$

Therefore deduce that the position coordinates of this refraction point, in like manner can draw the position coordinates of other points, then by these positions It is exactly the second free form surface on required fly's-eye lens that coordinate connects with smooth curve；

(4), assembling

Being connected with pcb board by reflector, LED-baseplate is located in reflector, and LED-baseplate is connected with Fresnel Lenses, fly's-eye lens Being connected with reflector top, pcb board is located in shell, completes assembling.