System and methods for realizing transverse Anderson localization in energy relays using component engineered structures
Disclosed are systems and methods for manufacturing energy relays for energy directing systems and Transverse Anderson Localization. Systems and methods include providing first and second component engineered structures with first and second sets of engineered properties and forming a medium using the first component engineered structure and the second component engineered structure. The forming step includes randomizing a first engineered property in a first orientation of the medium resulting in a first variability of that engineered property in that plane, and the values of the second engineered property allowing for a variation of the first engineered property in a second orientation of the medium, where the variation of the first engineered property in the second orientation is less than the variation of the first engineered property in the first orientation.
1. A device comprising:
a relay element formed without a cladding and comprises one or more of a first component engineered structure and one or more of a second component engineered structure, the first component engineered structure and the second component engineered structure having different wave propagation properties;
wherein, along a transverse orientation the first component engineered structure and the second component engineered structure are arranged in an interleaving configuration;
wherein, along a longitudinal orientation, the first component engineered structure and the second component engineered structure each have a similar configuration;
wherein the relay element relays energy along the longitudinal orientation through both the first component engineered structure and second component engineered structure, the energy being relayed is spatially localized in the transverse orientation;
wherein the first component engineered structure is aligned such that energy is propagated through the first component engineered structure with a higher transport efficiency in the longitudinal orientation versus the transverse orientation; and wherein the second component engineered structure is aligned such that energy is propagated through the second component engineered structure with a higher transport efficiency in the longitudinal orientation versus the transverse orientation; and
wherein the first component engineered structure and the second component engineered structure each have an average first dimension along the transverse orientation that is on the order of and up to four times the wavelength of the energy relayed therethrough.
2. The device of claim 1 , wherein the relay element includes a first surface and a second surface, and wherein the energy propagating between the first surface and the second surface travels along a path that is substantially parallel to the longitudinal orientation.
3. The device of claim 2 , wherein the first component engineered structure has a first index of refraction and the second component engineered structure has a second index of refraction, wherein a variability between the first index of refraction and the second index of refraction results in the energy being relayed being spatially localized in the transverse orientation and greater than about 50% of the energy propagating from the first surface to the second surface.
4. The device of claim 2 , wherein the energy passing through the first surface has a first resolution, wherein the energy passing through the second surface has a second resolution, and wherein the second resolution is no less than about 50% of the first resolution.
5. The device of claim 2 , wherein the energy with a uniform profile presented to the first surface passes through the second surface to substantially fill a cone with an opening angle of +1-10 degrees relative to the normal to the second surface, irrespective of location of the energy on the second surface.
6. The device of claim 2 , wherein both the first surface and the second surface are planar.
7. The device of claim 2 , wherein both the first surface and the second surface are non-planar.
8. The device of claim 2 , wherein the first surface is planar and the second surface is non-planar.
9. The device of claim 2 , wherein the first surface is non-planar and the second surface is planar.
10. The device of claim 2 , wherein both the first surface and the second surface are concave.
11. The device of claim 2 , wherein both the first surface and the second surface are convex.
12. The device of claim 2 , wherein the first surface is concave and the second surface is convex.
13. The device of claim 2 , wherein the first surface is convex and the second surface is concave.
14. The device of claim 1 , wherein each of the first structure and the second structure includes glass, carbon, optical fiber, optical film, polymer or mixtures thereof.