Holographic mode conversion for transmission lines
US-9711831-B2 · Jul 18, 2017 · US
US10224587B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-10224587-B2 |
| Application number | US-201715651947-A |
| Country | US |
| Kind code | B2 |
| Filing date | Jul 17, 2017 |
| Priority date | May 8, 2015 |
| Publication date | Mar 5, 2019 |
| Grant date | Mar 5, 2019 |
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The present disclosure provides systems and methods associated with mode conversion for electromagnetic field modification. A mode converting structure (holographic metamaterial) is formed with a distribution of dielectric constants chosen to convert an electromagnetic radiation pattern from a first mode to a second mode to attain a target electromagnetic radiation pattern that is different from the input electromagnetic radiation pattern. A solution to a holographic equation provides a sufficiently accurate approximation of a distribution of dielectric constants that can be used to form a mode converting device for use with one or more transmission lines, such as waveguides. One or more optimization algorithms can be used to improve the efficiency of the mode conversion.
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What is claimed is: 1. An electromagnetic mode converting structure comprising: a dielectric structure configured to modify a field pattern of a device from a first mode to a second mode, the dielectric structure divided into a plurality of sub-wavelength voxels, wherein each voxel has a maximum dimension that is less than a wavelength for a specific frequency range, and each voxel is assigned one of a plurality of dielectric constants to approximate a distribution of the dielectric constants; and a metamaterial with an effective dielectric constant less than 1 for at least a portion of a finite frequency range. 2. The electromagnetic mode converting structure of claim 1 , wherein the dielectric structure includes real and imaginary parts, each of the real and imaginary parts being individually optimizable variables. 3. The electromagnetic mode converting structure of claim 1 , wherein the approximation of the distribution of the dielectric constant further comprises modification of at least one dielectric constant and determine a cost function for the modification. 4. The electromagnetic mode converting structure of claim 1 , wherein the approximation of the distribution of the dielectric constants further comprises a holographic solution. 5. The electromagnetic mode converting structure of claim 1 , wherein the distribution of dielectric constants is a three-dimensional coordinate systems. 6. The electromagnetic mode converting structure of claim 5 , wherein the three-dimensional coordinate systems is one of a Cartesian coordinate system or a cylindrical coordinate system. 7. The electromagnetic mode converting structure of claim 1 , wherein the first mode is a TE 01 mode and the second mode is a TM 11 mode. 8. The electromagnetic mode converting structure of claim 1 , wherein the first mode is a TE 10 mode and the second mode is a TM 11 mode. 9. The electromagnetic mode converting structure of claim 1 , wherein the first mode is a TE 11 mode and the second mode is a TM 11 mode. 10. The electromagnetic mode converting structure of claim 1 , wherein the electromagnetic mode converting structure is dimensionally approximate to the device. 11. A method of generating an electromagnetic mode converting structure, the method comprising: generating, using one or more materials having dielectric constants, the electromagnetic mode converting structure, the electromagnetic mode converting structure comprising: a dielectric structure configured to modify a field pattern of a device from a first mode to a second mode, the dielectric structure divided into a plurality of sub-wavelength voxels, wherein each voxel has a maximum dimension that is less than a wavelength for a specific frequency range, and each voxel is assigned one of a plurality of dielectric constants to approximate a distribution of the dielectric constants; and a metamaterial with an effective dielectric constant less than 1 for at least a portion of a finite frequency range. 12. The method of claim 11 , wherein the generation of the electromagnetic mode converting structure is performed by a three-dimensional printer. 13. The method of claim 11 , wherein the generation of the electromagnetic mode converting structure is performed by injection molding. 14. The method of claim 11 , wherein the generation of the electromagnetic mode converting structure is performed by one of chemical etching, chemical deposition, heating or ultrasonication. 15. The method of claim 11 , wherein the dielectric structure includes real and imaginary parts, each of the real and imaginary parts being individually optimizable variables. 16. The method of claim 11 , wherein the approximation of the distribution of the dielectric constant further comprises modification of at least one dielectric constant and determine a cost function for the modification. 17. The method of claim 11 , wherein the approximation the distribution of the dielectric constants further comprises a holographic solution. 18. The method of claim 11 , wherein the distribution of dielectric constants is a three-dimensional coordinate systems. 19. The method of claim 18 , wherein the three-dimensional coordinate systems is one of a Cartesian coordinate system or a cylindrical coordinate system. 20. The method of claim 11 , wherein the first mode is a TE 01 mode and the second mode is a TM 11 mode. 21. The method of claim 11 , wherein the first mode is a TE 10 mode and the second mode is a TM 11 mode. 22. The method of claim 11 , wherein the first mode is a TE 11 mode and the second mode is a TM 11 mode. 23. The method of claim 11 , wherein the electromagnetic mode converting structure is dimensionally approximate to the device. 24. A method comprising: identifying a target functionality for a dielectric structure of an electromagnetic mode converting structure, wherein the target functionality comprises at least modifying a field pattern of a device from a first mode to a second mode, wherein the electromagnetic mode converting structure comprises a metamaterial with an effective dielectric constant less than 1 for at least a portion of a finite frequency range; identifying dimensions to enclose the electromagnetic mode converting structure; identifying a distribution of dielectric constants of the dielectric structure configured to modify the field pattern to an output field pattern that approximates the target functionality; and generating the electromagnetic mode converting structure where the dielectric structure has a plurality of sub-wavelength voxels, wherein each voxel has a maximum dimension that is less than a wavelength for a specific frequency range, and each voxel is assigned one of a plurality of dielectric constants to approximate the distribution of the dielectric constants. 25. The method of claim 24 , wherein the dielectric structure includes real and imaginary parts, each of the real and imaginary parts being individually optimizable variables. 26. The method of claim 24 , wherein the approximation of the distribution of the dielectric constant further comprises modification of at least one dielectric constant and determine a cost function for the modification. 27. The method of claim 24 , wherein the approximation the distribution of the dielectric constants further comprises a holographic solution. 28. The method of claim 24 , wherein the distribution of dielectric constants is a three-dimensional coordinate systems. 29. The method of claim 28 , wherein the three-dimensional coordinate systems is one of a Cartesian coordinate system or a cylindrical coordinate system. 30. The method of claim 24 , wherein the first mode is a TE 01 mode and the second mode is a TM 11 mode. 31. The method of claim 24 , wherein the first mode is a TE 10 mode and the second mode is a TM 11 mode. 32. The method of claim 24 , wherein the first mode is a TE 11 mode and the second mode is a TM 11 mode. 33. The method of claim 24 , wherein the dimensions to enclose the electromagnetic mode converting structure are approximate dimensions of the device. 34. The method of claim 24 , further comprises a metamaterial with an effective dielectric constant less than 1 for at least a portion of the finite frequency range.
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having refractive means, e.g. imaging elements between light guides as splitting, branching and/or combining devices, e.g. lenses, holograms · CPC title
for controlling or changing the state of polarisation, e.g. transforming one polarisation state into another (G02B5/3083 takes precedence; light guide coupling means utilising polarising elements G02B6/34) · CPC title
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of the junction type · CPC title
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