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Optical and Quantum Electronics

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01-08-2014

Diffraction from a moving grating

Author: Alon Bahabad

Published in: Optical and Quantum Electronics | Issue 8/2014

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Abstract

A first-principles tutorial account is given for the diffraction of either light or free, non-relativistic, massive particles from a moving grating. Discussion on the properties of the moving grating including non-reciprocity is followed by considering both Raman-Nath (thin grating) diffraction and Bragg (thick grating) diffraction in either transmission or reflection geometry. Use of four-momentum conservation with dispersion relations yield the angles of diffraction. The increase in the angle of diffraction for grazing incident by using a moving grating relative to using a static grating is calculated. It is shown that this increase is possible only for Raman-Nath geometry.

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In the following we would treat momentum and energy up to a factor of \(\hbar \), so for example either the wave vector \(k\) or the actual momentum \(p=\hbar k\) would be treated as momentum.

Another convention uses \(-\frac{\partial \phi }{\partial z}\) for the spatial frequency and \(\frac{\partial \phi }{\partial t}\) for the temporal frequency. However this has no effect on our conclusions.

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Title: Diffraction from a moving grating
Author: Alon Bahabad
Publication date: 01-08-2014
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 8/2014
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-013-9825-7

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