CN106195668A - A kind of optical system of ultraviolet LED face solidification and preparation method thereof - Google Patents

Abstract

The invention discloses the optical system of a kind of ultraviolet LED face solidification, including: nearly lambert's light type LED lens, LED chip and substrate；The invention also discloses the manufacture method of a kind of optical system being applied to the solidification of ultraviolet LED face, comprise the following steps: 1, make nearly lambert's light type LED lens contour line；2, nearly Lambertian light type LED lens half-value angle is determined；3, nearly Lambertian light type LED lens arra optimal spacing is calculated；4, nearly lambert's light type LED lens model is obtained；Obtain the half-value angle of LED chip and nearly Lambertian light type LED lens combination light source；Obtain light source optimal spacing.There is system structure compact and the advantages such as the irradiation intensity of ultra-violet curing hot spot, capacity usage ratio and illuminance uniformity can be improved simultaneously.

Description

A kind of optical system of ultraviolet LED face solidification and preparation method thereof

Technical field

The present invention relates to ultraviolet LED curing technology field, particularly relate to a kind of ultraviolet LED face solidification optical system and Its manufacture method.

Background technology

Ultraviolet LED is the new technique risen with LED, is mainly used in solidification field, such as printing, ink solidification, UV The industries such as glue, compare traditional curing source high voltage mercury lamp, metal halid lamp etc., ultraviolet LED have energy-saving and environmental protection, life-span length, with Time the advantage such as be turned on and off.Along with ultraviolet LED technology is increasingly mature, will quickly substitute conventional curing light source.

The most a lot of ultraviolet optics systems use LED array arrangement, straight for the light sent without the lamp bead of luminous intensity distribution Connecing and be radiated at the body surface that is cured, the hot spot that lamp bead is formed can overlap with the hot spot that lamp bead around is formed, hot spot lack of homogeneity. The spacing of chip is drawn, although the illuminance uniformity of hot spot can be improved, but LED is Lambertian light source, i.e. by Theoretical Calculation Light intensity is cosine distribution, and the LED light source half-value angle without luminous intensity distribution is big, divergence of beam, and the optimal inter-chip pitch calculated is relatively big, difficult To realize compact encapsulation, hot spot irradiance intensity and the uniformity in objective plane formation are difficult to reach ultra-violet curing requirement, And after operating distance is slightly offset from fixing operating distance, irradiance intensity and the uniformity decline substantially.Therefore, ultraviolet LED secondary Luminous intensity distribution is one of link particularly important in ultra-violet curing design of Optical System.

Summary of the invention

The primary and foremost purpose of the present invention is for above-mentioned existing problems and deficiency, it is provided that the light of a kind of ultraviolet LED face solidification System, this system has can improve the irradiation intensity of ultra-violet curing hot spot, capacity usage ratio and illuminance uniformity simultaneously Feature.

Another object of the present invention is to for above-mentioned existing problems and deficiency, it is provided that it is solid that one is applied to ultraviolet LED face The manufacture method of the optical system changed, on the one hand the method can improve light spot radiation intensity and the uniformity；On the other hand increase Light-source encapsulation density, makes encapsulating structure compact.

The primary and foremost purpose of the present invention is achieved through the following technical solutions: the optical system of a kind of ultraviolet LED face solidification, bag Include: nearly lambert's light type LED lens, LED chip and substrate, described nearly lambert's light type LED lens are rotational symmetry structure, nearly lambert Light type LED inner lens surfaces and outer surface are respectively inner outline and outer contour rotates around X-axis and obtains, during modeling, at interior table Fill with entity between face and outer surface and obtain the model of nearly lambert's light type LED lens, described nearly lambert's light type LED lens and LED chip is installed on substrate.

The entity packing material of described nearly lambert's light type LED lens uses the high light transmittance of resistance to ultraviolet Merlon Pc.

Described nearly lambert's light type LED lens and LED chip all use on heat-conducting glue installation base plate.

Another object of the present invention can be achieved through the following technical solutions: a kind of purple being applied to described in claim 1 The manufacture method of the optical system of outer LED face solidification, comprises the following steps:

Step one: set up plane coordinate system with zero O (0,0), including X-axis and Y-axis, with zero O as ultraviolet LED light source, is below nearly lambert's light type LED lens inner outline and the derivation of outer contour discrete point coordinate iterative relation；Institute State the making of nearly lambert's light type LED lens contour line；

Emit beam through inner lens surfaces P point and outer surface Q point from LED chip, twice refraction occurs, study the science according to light Opinion, when twice deviation angle of light is equal, the difference of lens is minimum, obtains:

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

In formula, θ represents incident ray refraction light l at inner lens surfaces_PQWith the angle of Y-axis positive direction, light goes out Firing angle α represents the angle of light source emergent ray and Y-axis positive direction, and β represents the angle of emergent ray and Y-axis positive direction, and light is at P Point and Q point reflect, Fresnel law obtain:

sin(α-δ_l)=n*sin (θ-δ_l), (2)

sin(δ_o-β)=n*sin (δ_o-θ), (3)

In formula, n represents the index of refraction in lens, and nearly Lambertian light type LED lens are by the high light transmittance of resistance to ultraviolet Merlon Pc material Material is prepared from, δ_lAnd δ_oRepresent the angle of P point tangent line and Q point tangent line and X-axis negative direction respectively, formula (2) and (3) formula obtain:

${\mathrm{tan\δ}}_l=\frac{sin\mathrm{\α}-n*sin\mathrm{\β}}{cos\mathrm{\α}-n*cos\mathrm{\θ}},---\left(4\right)$

${\mathrm{tan\δ}}_o=\frac{sin\mathrm{\β}-n*sin\mathrm{\θ}}{cos\mathrm{\β}-n*cos\mathrm{\θ}},---\left(5\right)$

For the ease of obtaining the nearly Lambertian light type LED lens of different light type, β is defined as:

β=k* α, (6)

(6), in formula, k is constant, 0.1 < k≤1, and according to formula (1), formula (4), formula (5) and formula (6), at the beginning of given P point and Q point Initial point, k value and α value, 0 ＜ α≤pi/2, certain step delta α is set, enters with next root with the tangent line at inner outline initial point Penetrate the intersection point second discrete point as inner outline of light, with the refraction light at second discrete point of inner outline with outer The point of intersection of tangents at first discrete point of contour line is as second discrete point coordinate of outer contour, and iteration goes out internal and external contour line Discrete point coordinate, imports and produces two curves in modeling software CAD, generates nearly lambert's light around Y-axis rotating 360 degrees after being configured to face Type LED lens；Beam projecting angle is corresponding when being α-Δ α obtains incident ray；

Step 2: the determination of nearly Lambertian light type LED lens half-value angle；

During nearly Lambertian light type LED lens import TRACEPRO software, use the LED core of 1mm × 1mm × 0.25mm Sheet, after Optics trace, obtains LED chip and nearly Lambertian light type LED lens combination light source according to the rectangle curve of light distribution Half-value angle θ_0.5, θ_0.5Expression LED luminous intensity values is the angle that light emission direction during axial strength value half is axial with luminescence；Axle To i.e. normal；

Step 3: the calculating of nearly Lambertian light type LED lens arra optimal spacing；

When total illumination slope minimum, the relation being calculated light source optimal spacing d and operating distance z is:

$d=\sqrt{\frac{4}{m+2}}z,---\left(7\right)$

In formula, z represents the vertical interval between objective plane and LED chip, and m is expressed as:

$m=\frac{-In2}{In\left({\mathrm{cos\&theta;}}_{0.5}\right)},---\left(8\right)$

In formula, parameter m is provided by producer, θ_0.5Obtained by step 2；

Step 4: compose initial value to the initial point of parameter k in step one, α, Δ α, P point and Q point, obtain nearly lambert's light type LED lens model；The half-value angle θ of LED chip and nearly Lambertian light type LED lens combination light source is obtained by step 2_0.5；Give step Rapid three interrupt parameters z compose initial value, obtain light source optimal spacing d；The combined light source of nearly lambert's light type LED lens and LED chip leads to Crossing on heat-conducting glue installation base plate, combined light source spacing is d, and X-direction and Y-direction light source number are equal.

In step one, described nearly Lambertian light type LED lens are prepared by the high light transmittance of resistance to ultraviolet Merlon Pc material Form.

In step one, described nearly Lambertian light type LED lens use injection molding process to produce.

In step one, k value span is [0.1,1], can require to carry out value according to different application.

In step 4, the value of described m is to be determined by the curve of light distribution in step 2.

In step 4, described lambert's light type LED lens and LED chip combined light source are to be arranged on substrate by heat-conducting glue On.

Another object of the present invention can also be achieved through the following technical solutions: a kind of ultraviolet LED face solidification optical system Manufacture method, comprise the following steps:

Step one: as it is shown in figure 1, set up plane coordinate system with zero O (0,0), including X-axis and Y-axis, former with coordinate Point O is ultraviolet LED light source, is below nearly lambert's light type LED lens inner outline and outer contour discrete point coordinate iterative relation Derivation；The making of nearly lambert's light type LED lens contour line；

Emit beam through inner lens surfaces P point and outer surface Q point from LED chip, twice refraction occurs.By optical theory Understanding, when twice deviation angle of light is equal, the difference of lens is minimum, can obtain:

$\mathrm{\&theta;}=\frac{\mathrm{\&alpha;}+\mathrm{\&beta;}}{2},---\left(1\right)$

In formula, θ represents incident ray refraction light l at inner lens surfaces_PQWith the angle of Y-axis positive direction, light goes out Firing angle α represents the angle of light source emergent ray and Y-axis positive direction, and β represents the angle of emergent ray and Y-axis positive direction, and light is at P Point and Q point reflect, Fresnel law can obtain:

sin(α-δ_l)=n*sin (θ-δ_l), (2)

sin(δ_o-β)=n*sin (δ_o-θ), (3)

In formula, n represents the index of refraction in lens, and nearly Lambertian light type LED lens are by the high light transmittance of resistance to ultraviolet Merlon Pc material Material is prepared from, δ_lAnd δ_oRepresent the angle of P point tangent line and Q point tangent line and X-axis negative direction respectively, by formula (2) and (3) Shi Ke get:

${\mathrm{tan\&delta;}}_l=\frac{sin\mathrm{\&alpha;}-n*sin\mathrm{\&beta;}}{cos\mathrm{\&alpha;}-n*cos\mathrm{\&theta;}},---\left(4\right)$

${\mathrm{tan\&delta;}}_o=\frac{sin\mathrm{\&beta;}-n*sin\mathrm{\&theta;}}{cos\mathrm{\&beta;}-n*cos\mathrm{\&theta;}},---\left(5\right)$

For the ease of obtaining nearly lambert's light type LED lens of different light type, β is defined as

β=k* α, (6)

(6) in formula, k (0.1 < k≤1) is constant, according to formula (1), formula (4), formula (5) and formula (6), at the beginning of given P point and Q point Initial point coordinate, k value and α (0 ＜ α≤pi/2) value, arrange certain step delta α, with the tangent line at inner outline initial point and next The intersection point of root incident ray (beam projecting angle when being α-Δ α corresponding incident ray) is discrete as second of inner outline Point, using the point of intersection of tangents at refraction light and first discrete point of outer contour at second discrete point of inner outline as outward Second discrete point coordinate of contour line.So circulation is gone down, and iteration goes out the discrete point coordinate of internal and external contour line, imports modeling software CAD produces two curves.

As in figure 2 it is shown, control LED chip 03 by nearly lambert's light type LED lens inner outline 01 and outer contour 02 The light gone out, nearly lambert's light type LED lens are rotational symmetry structure, and nearly lambert's light type LED inner lens surfaces and outer surface are respectively Rotate around X-axis for inner outline 01 and outer contour 02 and obtain, during modeling, fill with entity between surfaces externally and internally and obtain lens Model.Packing material uses the high light transmittance of resistance to ultraviolet Merlon Pc or k9 glass material, nearly lambert's light type LED lens producer Formula uses injection mo(u)lding.

Step 2: the determination of nearly Lambertian light type LED lens half-value angle；

During nearly Lambertian light type LED lens import TRACEPRO software, use the LED core of 1mm × 1mm × 0.25mm Sheet, after Optics trace, obtains LED chip and nearly Lambertian light type LED lens according to the rectangle curve of light distribution (as shown in Figure 3) The half-value angle θ of combined light source_0.5, θ_0.5Represent that LED luminous intensity values is light emission direction during axial strength value half and light-emitting axis Angle to (normal).

Step 3: the calculating of nearly Lambertian light type LED lens arra optimal spacing；

When total illumination slope minimum, be calculated optimal space between light sources d (d be nearly Lambertian light type LED lenticular spacing or LED chip spacing) with the relation of operating distance z be

$d=\sqrt{\frac{4}{m+2}}z,---\left(7\right)$

In formula, z represents the vertical interval between objective plane and LED chip, and m is represented by:

$m=\frac{-In2}{In\left({\mathrm{cos\&theta;}}_{0.5}\right)},---\left(8\right)$

In formula, parameter m is mainly provided by producer, θ_0.5By step 2 gained.

Step 4: compose initial value to step one parameter k, α, Δ α and P point and Q point initial point, obtain nearly lambert's light type LED saturating Mirror model；The half-value angle θ of LED chip and nearly lambert's light type LED lens combination light source is obtained by step 2_0.5；To step 3 parameter Z composes initial value, obtains light source optimal spacing d；

As shown in Figure 4, solidification optical system in ultraviolet LED face includes nearly lambert's light type LED lens, LED chip, substrate, often Individual nearly lambert's light type LED lens sizes and material are identical, and LED chip model is consistent.By LED chip 01 and nearly lambert's light type LED Lens 02 with on heat-conducting glue installation base plate 03, between lens and chip spacing be all d, d be 6.

This design of the present invention and manufacture method are as follows: 1, set up plane coordinate system with zero O, sit with plane The zero of mark system, as the light source O of ultraviolet LED, makes nearly lambert's light type LED lens contour line；2, nearly Lambertian light is determined Type LED lens half-value angle；3, lens arra optimal spacing is calculated；4, parameter tax will be related to and be just worth to lens model and lens array Row optimal spacing, structure array ultraviolet LED face solidification optical system.This system structure is compact, can improve ultra-violet curing light simultaneously The irradiation intensity of speckle, capacity usage ratio and illuminance uniformity.

The principle of the present invention: based on the correlation theory such as geometric optics and fresnel's law, completes nearly lambert's light type LED lens The derivation of Free-Form Surface Profile line, after TRACEPRO optical simulation, obtains LED chip and nearly Lambertian light type LED battery of lens Close light source half-value angle, binding isotherm formula calculate nearly Lambertian light type LED lens arra arrangement time lens between optimal Spacing.Analog result shows: nearly lambert's light type LED lens effectively control dissipating of light, improve ultra-violet curing light simultaneously The irradiation intensity of speckle, capacity usage ratio and illuminance uniformity.

The present invention compared with prior art, has following remarkable advantage and a beneficial aspects:

1) present invention is based on geometric optics and fresnel's law, completes nearly lambert's light type LED lens Free-Form Surface Profile The derivation of line algorithm, generates nearly lambert's light type LED lens model, nearly lambert's light by CAD software by the discrete point calculated Type LED lens constitute ultraviolet LED solidification area source model by the pitch arrays rectanglar arrangement calculated.Compare traditional design side Method, is greatly saved the time.

2) compared with traditional ultra-violet curing optical system, the ultraviolet LED face solidification optical system that the present invention obtains, it is possible to Improve the irradiation intensity of ultra-violet curing hot spot, capacity usage ratio and illuminance uniformity simultaneously.And in certain operating distance scope In, the uniformity of illuminance of solidification hot spot, all more than 95%, meets ultra-violet curing requirement.

Accompanying drawing explanation

Fig. 1 is nearly lambert's light type LED lens design principle schematic of the present invention.

Fig. 2 is the nearly lambert's light type LED lens structural representation with LED chip combination of the present invention.

Fig. 3 is to be carried enough nearly lambert's light type LED lens and LED chip combined light source module in an example of the present invention The rectangle surface of intensity distribution after Optics trace.

Fig. 4 is to be carried enough ultraviolet LED solidification area source illustratons of model in an example of the present invention.

Fig. 5 is to be carried in an example of the present invention after enough ultraviolet LEDs solidification area source Optics trace at objective plane Illumination curve scattergram.

Fig. 6 is that the uniformity of illuminance being carried enough ultraviolet LED solidification area sources in an example of the present invention is with working distance From change curve.

Detailed description of the invention

Below in conjunction with embodiment and accompanying drawing, the present invention is described in further detail, but embodiments of the present invention do not limit In this.

Embodiment

The manufacture method of a kind of ultraviolet LED face solidification optical system, comprises the following steps:

Step one: as it is shown in figure 1, set up plane coordinate system with zero O (0,0), including X-axis and Y-axis, former with coordinate Point O is ultraviolet LED light source, is below nearly lambert's light type LED lens inner outline and outer contour discrete point coordinate iterative relation Derivation；

The making of nearly lambert's light type LED lens contour line；

Emit beam through inner lens surfaces P point and outer surface Q point from LED chip, twice refraction occurs.By optical theory Understanding, when twice deviation angle of light is equal, the difference of lens is minimum, can obtain:

$\mathrm{\&theta;}=\frac{\mathrm{\&alpha;}+\mathrm{\&beta;}}{2},---\left(1\right)$

In formula, θ represents incident ray refraction light l at inner lens surfaces_PQWith the angle of Y-axis positive direction, light goes out Firing angle α represents the angle of light source emergent ray and Y-axis positive direction, and β represents the angle of emergent ray and Y-axis positive direction, and light is at P Point and Q point reflect, Fresnel law can obtain:

sin(α-δ_l)=n*sin (θ-δ_l), (2)

sin(δ_o-β)=n*sin (δ_o-θ), (3)

In formula, n represents the index of refraction in lens, and nearly Lambertian light type LED lens are by the high light transmittance of resistance to ultraviolet Merlon Pc material It is prepared from, δ_lAnd δ_oRepresent the angle of P point tangent line and Q point tangent line and X-axis negative direction respectively.By formula (2) and (3) Shi Ke get:

${\mathrm{tan\&delta;}}_l=\frac{sin\mathrm{\&alpha;}-n*sin\mathrm{\&beta;}}{cos\mathrm{\&alpha;}-n*cos\mathrm{\&theta;}},---\left(4\right)$

${\mathrm{tan\&delta;}}_o=\frac{sin\mathrm{\&beta;}-n*sin\mathrm{\&theta;}}{cos\mathrm{\&beta;}-n*cos\mathrm{\&theta;}},---\left(5\right)$

For the ease of obtaining nearly lambert's light type LED lens of different light type, β is defined as

β=k* α, (6)

(6) in formula, k (0. < k≤1) is constant, and according to formula (1), formula (4), formula (5) and formula (6), given P point and Q point are initial Point coordinates, k value and α (0 ＜ α≤pi/2) value, arrange certain step delta α, with the tangent line at inner outline initial point and next root The intersection point of incident ray (beam projecting angle when being α-Δ α corresponding incident ray) is discrete as second of inner outline Point, using the point of intersection of tangents at refraction light and first discrete point of outer contour at second discrete point of inner outline as outward Second discrete point coordinate of contour line.So circulation is gone down, and iteration goes out the discrete point coordinate of internal and external contour line, imports modeling software CAD produces two curves.

As in figure 2 it is shown, control LED chip 03 by nearly lambert's light type LED lens inner outline 01 and outer contour 02 The light gone out, nearly lambert's light type LED lens are rotational symmetry structure, and nearly lambert's light type LED inner lens surfaces and outer surface are respectively Rotate around X-axis for inner outline 01 and outer contour 02 and obtain, during modeling, fill with entity between surfaces externally and internally and obtain lens Model.Packing material uses the high light transmittance of resistance to ultraviolet Merlon Pc or k9 glass material, nearly lambert's light type LED lens producer Formula uses injection mo(u)lding.

Step 2: the determination of nearly Lambertian light type LED lens half-value angle；

During nearly Lambertian light type LED lens import TRACEPRO software, use the LED core of 1mm × 1mm × 0.25mm Sheet, after Optics trace, obtains LED chip and nearly Lambertian light type LED lens according to the rectangle curve of light distribution (as shown in Figure 3) The half-value angle θ of combined light source_0.5, θ_0.5Represent that LED luminous intensity values is light emission direction during axial strength value half and light-emitting axis Angle to (normal).

Step 3: the calculating of nearly Lambertian light type LED lens arra optimal spacing；

When total illumination slope minimum, be calculated optimal space between light sources d (d be nearly Lambertian light type LED lenticular spacing or LED chip spacing) with the relation of operating distance z be

$d=\sqrt{\frac{4}{m+2}}Z,---\left(7\right)$

In formula, z represents the vertical interval between objective plane and LED chip, and m is represented by:

$m=\frac{-In2}{In\left({\mathrm{cos\&theta;}}_{0.5}\right)},---\left(8\right)$

In formula, parameter m is mainly provided by producer, θ_0.5By step 2 gained.

Step 4: step one introduces initial parameter values k=0.5, α=pi/2, Δ α=0.001, P (2.5,0.0025) and Q (2.52,0.0159), obtain nearly Lambertian light type LED lens internal and external contour line as shown in Figure 2；Shown that LED chip is with near by Fig. 3 The half-value angle θ of Lambertian light type LED lens combination light source_0.5It it is 27.5 °；Introduce initial value z=20mm to step 3 parameter, obtain Light source optimal spacing d=14.3mm；

As shown in Figure 4, solidification optical system in ultraviolet LED face includes nearly lambert's light type LED lens, LED chip, substrate, often Individual nearly lambert's light type LED lens sizes and material are identical, and LED chip model is consistent.By LED chip 01 and nearly lambert's light type LED Lens 02 with on heat-conducting glue installation base plate 03, between lens and chip spacing be all d, d be 6.As it is shown in figure 5, light can be solidified Speckle uniformity of illuminance is 95.3%.As shown in Figure 6, operating distance is right in the range of [20mm, 30mm], and the solidification hot spot uniformity is equal More than 95%.

Above-described embodiment is the present invention preferably embodiment, but embodiments of the present invention are not by above-described embodiment Limit, the change made under other any spirit without departing from the present invention and principle, modify, substitute, combine, simplify, All should be the substitute mode of equivalence, within being included in protection scope of the present invention.

Claims (9)

1. the optical system of ultraviolet LED face solidification, it is characterised in that including: nearly lambert's light type LED lens, LED chip and Substrate, described nearly lambert's light type LED lens are rotational symmetry structure, and nearly lambert's light type LED inner lens surfaces and outer surface are respectively Rotate around X-axis for inner outline and outer contour and obtain, during modeling, fill with entity between the interior and exterior surfaces and obtain closely The model of lambert's light type LED lens, described nearly lambert's light type LED lens and LED chip are installed on substrate.

The optical system of ultraviolet LED face the most according to claim 1 solidification, it is characterised in that described nearly lambert's light type LED The entity packing material of lens uses the high light transmittance of resistance to ultraviolet Merlon Pc.

The optical system of ultraviolet LED face the most according to claim 1 solidification, it is characterised in that described nearly lambert's light type LED Lens and LED chip all use on heat-conducting glue installation base plate.

4. the manufacture method of the optical system of the ultraviolet LED face solidification that a kind is applied to described in claim 1, it is characterised in that Comprise the following steps:

Step one: set up plane coordinate system with zero O (0,0), including X-axis and Y-axis, with zero O for ultraviolet LED light Source, is below nearly lambert's light type LED lens inner outline and the derivation of outer contour discrete point coordinate iterative relation；Described the brightest The making of primary light type LED lens contour line；

Emit beam through inner lens surfaces P point and outer surface Q point from LED chip, twice refraction occurs, according to optical theory, When twice deviation angle of light is equal, the difference of lens is minimum, obtains:

$\mathrm{\&theta;}=\frac{\mathrm{\&alpha;}+\mathrm{\&beta;}}{2},---\left(1\right)$

In formula, θ represents incident ray refraction light l at inner lens surfaces_PQWith the angle of Y-axis positive direction, beam projecting angle α Representing the angle of light source emergent ray and Y-axis positive direction, β represents the angle of emergent ray and Y-axis positive direction, and light is at P point and Q Point reflects, Fresnel law obtain:

sin(α-δ_l)=n*sin (θ-δ_l), (2)

sin(δ_o-β)=n*sin (δ_o-θ), (3)

In formula, n represents the index of refraction in lens, and nearly Lambertian light type LED lens are by the high light transmittance of resistance to ultraviolet Merlon Pc material system For forming, δ_lAnd δ_oRepresent the angle of P point tangent line and Q point tangent line and X-axis negative direction respectively, formula (2) and (3) formula obtain:

${\mathrm{tan\&delta;}}_l=\frac{sin\mathrm{\&alpha;}-n*sin\mathrm{\&beta;}}{cos\mathrm{\&alpha;}-n*cos\mathrm{\&theta;}},---\left(4\right)$

${\mathrm{tan\&delta;}}_o=\frac{sin\mathrm{\&beta;}-n*sin\mathrm{\&theta;}}{cos\mathrm{\&beta;}-n*cos\mathrm{\&theta;}},---\left(5\right)$

β is defined as:

β=k* α, (6)

(6), in formula, k is constant, 0.1 < k≤1, and according to formula (1), formula (4), formula (5) and formula (6), given P point and Q point initial point, K value and α value, 0 ＜ α≤pi/2, certain step delta α is set, with the tangent line at inner outline initial point and next root incident ray Intersection point as second discrete point of inner outline, with the refraction light at second discrete point of inner outline and outer contour The point of intersection of tangents at first discrete point is as second discrete point coordinate of outer contour, and iteration goes out the discrete point of internal and external contour line Coordinate, imports and produces two curves in modeling software CAD, generates nearly lambert's light type LED around Y-axis rotating 360 degrees saturating after being configured to face Mirror；Beam projecting angle is corresponding when being α-Δ α obtains incident ray；

Step 2: the determination of nearly Lambertian light type LED lens half-value angle；

During nearly Lambertian light type LED lens import TRACEPRO software, use the LED chip of 1mm × 1mm × 0.25mm, light After learning trace, obtain the half-value angle of LED chip and nearly Lambertian light type LED lens combination light source according to the rectangle curve of light distribution θ_0.5, θ_0.5Expression LED luminous intensity values is the angle that light emission direction during axial strength value half is axial with luminescence；The most i.e. method Line；

Step 3: the calculating of nearly Lambertian light type LED lens arra optimal spacing；

When total illumination slope minimum, the relation being calculated light source optimal spacing d and operating distance z is:

$d=\sqrt{\frac{4}{m+2}}z,---\left(7\right)$

In formula, z represents the vertical interval between objective plane and LED chip, and m is expressed as:

$m=\frac{-In2}{In\left({\mathrm{cos\&theta;}}_{0.5}\right)},---\left(8\right)$

In formula, parameter m is provided by producer, θ_0.5Obtained by step 2；

Step 4: compose initial value to the initial point of parameter k in step one, α, Δ α, P point and Q point, obtain nearly lambert's light type LED saturating Mirror model；The half-value angle θ of LED chip and nearly Lambertian light type LED lens combination light source is obtained by step 2_0.5；To in step 3 Disconnected parameter z composes initial value, obtains light source optimal spacing d；The combined light source of nearly lambert's light type LED lens and LED chip passes through heat conduction On glue installation base plate.

Manufacture method the most according to claim 4, it is characterised in that in step one, described nearly Lambertian light type LED is saturating Mirror is prepared from by the high light transmittance of resistance to ultraviolet Merlon Pc material.

Manufacture method the most according to claim 4, it is characterised in that in step one, described nearly Lambertian light type LED is saturating Mirror uses injection molding process to produce.

Manufacture method the most according to claim 4, it is characterised in that in step one, described k value span is [0.1,1]。

Manufacture method the most according to claim 4, it is characterised in that in step 4, the value of described m is by step 2 The curve of light distribution determine.

Manufacture method the most according to claim 4, it is characterised in that in step 4, described lambert's light type LED lens and LED chip combined light source is to be arranged on substrate by heat-conducting glue.