Apparatus and methods for generating and enhancing smith-purcell radiation
US-2018287329-A1 · Oct 4, 2018 · US
US10505334B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-10505334-B2 |
| Application number | US-201815944360-A |
| Country | US |
| Kind code | B2 |
| Filing date | Apr 3, 2018 |
| Priority date | Apr 3, 2017 |
| Publication date | Dec 10, 2019 |
| Grant date | Dec 10, 2019 |
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An apparatus for generating Smith-Purcell radiation having at least one spectral component at a wavelength λ includes a periodic structure including a dielectric material and an electron source, in electromagnetic communication with the periodic structure, to emit an electron beam propagating within about 5λ from a surface of the periodic structure to induce emission of the Smith-Purcell radiation. The electron beam has an electron energy tunable between about 0.5 keV and about 40 keV so as to change a wavelength of the Smith-Purcell radiation.
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The invention claimed is: 1. An apparatus for generating Smith-Purcell radiation having a spectral component at a wavelength λ, the apparatus comprising: a periodic structure comprising a dielectric material; and an electron source, in electromagnetic communication with the periodic structure, to emit an electron beam propagating within about 5λ from a surface of the periodic structure to induce emission of the Smith-Purcell radiation, the electron beam having an electron energy tunable between about 0.5 keV and about 40 keV so as to change the wavelength of the Smith-Purcell radiation, wherein the electron source comprises a gated field emitter array (FEA). 2. The apparatus of claim 1 , wherein the periodic structure comprises a silicon grating having a periodicity along a first direction and the electron source is configured to emit the electron beam in the first direction. 3. The apparatus of claim 1 , wherein the periodic structure defines at least one bound state in the continuum (BIC) at a bound state wavelength λ B and the electron source is configured to emit the electron beam having an electron velocity v between about 0.9×ac/(mλ B ) and 1.1×ac/(mλ B ), where a is a period of the periodic structure, c is the speed of light in vacuum, and m is a positive integer. 4. The apparatus of claim 3 , wherein the periodic structure is characterized by an in-plane symmetry. 5. The apparatus of claim 1 , wherein the periodic structure has a period of about 50 nm to about 300 nm, the electron energy is substantially equal to or less than 2 keV, and the wavelength of the Smith-Purcell radiation is about 300 nm to about 1600 nm. 6. The apparatus of claim 1 , wherein the periodic structure comprises a corrugated optical waveguide. 7. The apparatus of claim 1 , wherein the periodic structure and the gated FEA are fabricated in a semiconductor substrate. 8. The apparatus of claim 1 , further comprising: a laser, in optical communication with the FEA, to illuminate the FEA with a light pulse so as to generate the electron beam comprising at least one electron bunch having a duration substantially equal to or less than 1 ps. 9. The apparatus of claim 1 , further comprising: a depressed collector, operably coupled to the FEA, to receive the electron beam and recycle at least a portion of kinetic energy of the electron beam. 10. The apparatus of claim 1 , wherein a grazing angle of the electron beam with respect to the surface of the periodic structure is substantially equal to or less than 5°. 11. The apparatus of claim 1 , wherein the electron source is configured to emit the electron beam with an elliptical beam profile having a major axis perpendicular to a propagation direction of the electron beam. 12. An apparatus for generating Smith-Purcell radiation having a spectral component at a wavelength λ, the apparatus comprising: a periodic structure comprising a dielectric material; and an electron source, in electromagnetic communication with the periodic structure, to emit an electron beam propagating within about 5λ from a surface of the periodic structure to induce emission of the Smith-Purcell radiation, the electron beam having an electron energy tunable between about 0.5 keV and about 40 keV so as to change the wavelength of the Smith-Purcell radiation, wherein the periodic structure comprises a two-dimensional (2D) photonic crystal characterized by a first dispersion line and the electron beam is characterized by a second dispersion line overlapping with at least a portion of the first dispersion line so as to generate the Smith-Purcell radiation with a bandwidth BW=av/c, where a is a period of the periodic structure, v is a speed of the electron beam, and c is the speed of light. 13. The apparatus of claim 12 , wherein the bandwidth of the Smith-Purcell radiation is substantially equal to or greater than 100 nm. 14. An apparatus for generating Smith-Purcell radiation having a spectral component at a wavelength λ, the apparatus comprising: a periodic structure comprising a dielectric material, and an electron source, in electromagnetic communication with the periodic structure, to emit an electron beam propagating within about 5λ from a surface of the periodic structure to induce emission of the Smith-Purcell radiation, the electron beam having an electron energy tunable between about 0.5 keV and about 40 keV so as to change the wavelength of the Smith-Purcell radiation, wherein the periodic structure comprises a two-dimensional (2D) photonic crystal characterized by a photonic band structure having a flat band and the electron beam is characterized by a dispersion line overlapping with at least a portion of the flat band so as to generate supercollimation. 15. A method for generating Smith-Purcell radiation having a spectral component at a wavelength λ, the method comprising: generating an electron beam using a gated field emitter array (FEA) fabricated in a semiconductor substrate; propagating the electron beam within about 5λ from a surface of a periodic structure comprising a dielectric material and fabricated in the semiconductor substrate, the electron beam inducing emission of the Smith-Purcell radiation; and changing an electron energy of the electron beam between about 0.5 keV and about 40 keV to change a wavelength of the Smith-Purcell radiation. 16. The method of claim 15 , wherein emitting the electron beam comprises propagating the electron beam along a first direction and the periodic structure comprises a silicon grating having a periodicity along the first direction. 17. The method of claim 15 , wherein the periodic structure defines at least one bound state in the continuum (BIC) at a bound state wavelength λ B and emitting the electron beam comprises propagating the electron beam with an electron velocity v between about 0.9×ac/(mλ B ) and 1.1×ac/(mλ B ), where a is a period of the periodic structure, c is the speed of light in the vacuum, and m is a positive integer. 18. The method of claim 15 , wherein the periodic structure has a period of about 100 nm to about 300 nm, the electron energy is substantially equal to or less than 2 keV, and the wavelength of the Smith-Purcell radiation is about 400 nm to about 1500 nm. 19. The method of claim 15 , wherein emitting the electron beam comprises propagating the electron beam near the surface of a corrugated optical waveguide. 20. The method of claim 15 , further comprising: illuminating the FEA with a light pulse so as to generate the electron beam with at least one electron bunch having a duration substantially equal to or less than 1 ps. 21. The method of claim 15 , further comprising: receiving the electron beam; and recycling at least a portion of kinetic energy of the electron beam using a depressed collector. 22. The method of claim 15 , wherein emitting the electron beam comprises propagating the electron beam at a grazing angle substantially equal to or less than 5° with respect to the surface of the periodic structure. 23. The method of claim 15 , wherein emitting the electron beam comprises emitting the electron beam with an elliptical beam profile having a major axis perpendicular a propagation direction of the electron beam. 24. A method for generating Smith-Purcell radiation having a spectral component at a wavelength λ, the method comprising: emitting an electron beam to propagate within about 5λ from a surface of a periodic structure comprising
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