Waveguides, and systems and methods for forming and using such waveguides
US-2016266466-A1 · Sep 15, 2016 · US
US10897115B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-10897115-B2 |
| Application number | US-201715721900-A |
| Country | US |
| Kind code | B2 |
| Filing date | Sep 30, 2017 |
| Priority date | Sep 30, 2017 |
| Publication date | Jan 19, 2021 |
| Grant date | Jan 19, 2021 |
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Methods and systems are disclosed for using a chromatic lens system to provide a “flying focus”—i.e., an advanced focusing scheme enabling spatiotemporal control of a focal location. In a method, a photon beam is emitted from a source at a wavelength. The photon beam may have more than one wavelength. The photon beam is focused to a focal location using a chromatic lens system. The focal location is at a first longitudinal distance along an optical axis from the chromatic lens system. The wavelength of the photon beam is changed as a function of time to change the focal location as a function of time. The wavelength may be changed such that the focal location changes with a focal velocity.
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What is claimed is: 1. A method of spatiotemporally changing a focal location of a photon beam as a function of time, comprising: providing a photon beam emitted from a source wherein the photon beam has a wavelength (λ); focusing the photon beam to a focal location using a chromatic lens system, the focal location is at a first longitudinal distance (z) along an optical axis from the chromatic lens system; and changing the wavelength of the photon beam as a function of time to change the focal location as a function of time. 2. The method of claim 1 , wherein the photon beam has more than one wavelength and the chromatic lens system is selected to define a focal location for each wavelength which is different than the focal locations of other wavelengths. 3. The method of claim 1 , wherein the chromatic lens system is a diffractive lens. 4. The method of claim 3 , wherein the diffractive lens has a radially varying groove density G = r λ 0 f 0 , where r is a radial distance from the optical axis, λ 0 is a central wavelength, and f 0 is a focal length at the central wavelength. 5. The method of claim 1 , wherein the wavelength is changed such that the focal location changes with a focal velocity (v). 6. The method of claim 5 , wherein the focal velocity is described by the equation: v ( z ) c = [ 1 + ( d λ d τ ) - 1 ( dz d λ ) - 1 c ] - 1 wherein, dz d λ is a longitudinal dispersion of the chromatic lens, d λ d τ is a rate of change of wavelength of the photon beam given by λ(τ), τ is a time-space coordinate where τ=t−z/c, t is time, and c is the speed of light. 7. The method of claim 1 , wherein the focal location (z) is changed over time (z(t)) by changing the wavelength of the photon beam according to λ ( τ ) = λ 0 [ 1 - z ( τ ) f 0 ] - 1 , where the chromatic lens system has a longitudinal dispersion given by dz d λ ≅ - f o λ 0 , where λ 0 is a central wavelength and f 0 is a focal length at the central wavelength. 8. The method of claim 1 , wherein the source is a broadband laser. 9. The method of claim 8 , wherein the laser uses optical parametric chirped-pulse-amplification where d λ
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