This invention relates to a method to generate a directional light beam with small divergent beam angle from light sources.
A directional light beam with small divergent angle or a parallel light beam such as laser beam can theoretically maintain its original energy level indefinitely, no matter how far it travels from the source. Parallel beams also can be efficiently focused into a point with lens or mirrors. Therefore, a parallel light beam is desirable for use in many optical systems since it is easily manipulated by optical components such as lens or mirrors.
It is difficult to efficiently convert all of light into a parallel beam by using conventional optical components such as lens or mirrors when a light source has finite size and light beam emitted with finite angle range. Optical lens or mirrors can only partially convert light beam emitted from light source with finite size into a parallel beam when the light source is located at their focus points.
There are enormous efforts to obtain a parallel beam from light source with a finite size such as lamps. In U.S. Pat. No. 5,613,768, two arrayed mirrors were used to generate parallel light. Non-parallel lights from light source were blocked by plurality of holes. Thus, part of light energy was wasted and collection of lights is not efficient.
Present invention discloses a technique which can efficiently convert divergent light beams from light source with finite size into a directional light beam with small divergent angle or parallel light beam.
There are number of applications for the invented directional beam generator. The brightness of light can be greatly increased when the given light are coupled into smaller area from large area by employing invented directional beam generators; It can be used as a beam shaper for diode laser coupling to fiber with small core size; It can be used generate point light sources from lamps with finite size for projector; A white “laser”—a directional visible light beam can be generated using the invented directional beam generator.
According to the invention, a parallel beam or directional beam with smaller divergent angles can be obtained after divergent light passed through the invented devices. The divergent angle of incident light beam can be reduced to as small as diffraction-limited. The devices have fiber waveguides geometry with core, cladding layers and protect jacket. Cone structures with tilted surfaces between core and cladding layers are used to direct light into beam which possesses smaller propagation angle or even is parallel to the axis of devices. Lightwave with most of input energy and all of wavelength can be directed into a directional beam with small divergent angle or parallel beams.
A better understanding of the invention will obtained by reference to the detailed description below, in conjunction with the following drawings, in which:
In accordance with the invention, referring to
There are numbers of identical cone structures on the interface of core and cladding layer. The tilted angle of cone structure surface 13 is α relative to axis 18 of the waveguide. Its value can be either positive or negative. α is positive when the tilted surface is tilted toward the medium with lower index relative to axis of waveguides. α is negative when the tilted surface is tilted toward the medium with higher index. The pitch of cone structure, P, is ranged from wavelength level to whole device length. However, diffraction effect is negligible when the pitch of cones is much larger than the interested wavelength, λ, of incident light.
The distance from the outside surface of cladding layer to the edge of tilted surface, t, is ranged from on the order of wavelength of incident light to as large as core size waveguide, D. The range of t is given by
λ≦t≦(D−2P tan α)/2
However, the diameter of waveguide structure, D, should be compatible to the size of light source or its image, which can be up to multi-centimeter level or even bigger, depending on applications. The whole length of devices is
L≧D/tan βout
The outside surface wall of the second core layer is parallel to the axis of the device.
A light beam 20 with maximum propagation angle, βin, relative to axis 18 of devices is incident on waveguide 10. The lights are limited and propagated in the first 11 and second core 12 regions by total internal reflection on interface 15 of second core 12 and cladding layer 16. The refractive indexes n2, n3 of second core and cladding layer are given by
n3=n2 cos βin
For the output light beam 21 with maximum desired output propagation angle, βout, the refractive indexes n1, n2 of first core and second core are given by
n2=n1 cos(βout−α)
The lights will either be reflected by the tilted surface 13 or transmit through the interface of first core and second core. For the lights reflected the tilted surface 13 once, the propagation angle will be reduced by
Δβr=2α
For the lights transmitting through the first core 11 once, the propagation angle will be reduced by
Δβt≧2(n1−n2 )α
After multi-reflections and transparent through the first core, all of lights will be converted into a beam with maximum propagation angle βout, which can be as small as diffraction limited.
When the pitch of cone structure 12, P, is same as the length of devices, L, the device is simplified to the one 22 which has a cone structure 23 with index n1, as shown in
An array of cone structures can be located in core regions, as shown in
LA≧0.1N ln NPA/tan βout
N=(βin−βout)/k(n1−n2)α
where k is factor number related to parameters such as refractive indexs n1, n2, tilted angle α, input propagation angle βin and output beam angle βout.
Double or even more cone structure layers can be used to convert more energy of incident beam into beam with smaller divergent angle. The cross section structure of waveguide is shown in
Δβt≧2ΣΔni·αi
Other parameters such as refractive index of cores and cladding, device length can follow the way described above. After multi-reflections and transparent through the first core, all of lights will be converted into a beam with maximum propagation angle βout, which can be as small as diffraction limited.
To more efficiently reduce the divergent angle of incident light beams, multi-section of waveguide structure as shown in
n2i=n1i cos(βouti−αi)
The refractive index of cladding for ith section is given by
n3i=n2i cos βini
The length of ith section for the diameter of waveguides Di is given by
Li≧Di/tan βouti
The divergent angle of output beam, βouti, corresponded to ith section is given by
βouti=ηiβini
where η is referred as angle squeezed constant of devices, which is related to refractive index of medium, the titled angle.
The final divergent angle of light beam after the devices is given by
βout=βinη1η2 . . . ni
The divergent angle of output light beam can be as small as desired in the manner as described above after passing multi-sections of the invented devices. All of wavelength and most of input energy will be converted into the beam with small divergent angle.
As an example of applications, it is shown in
Φ=2f·tan βout
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