4.6 Article

Spatial differentiation of optical beams using phase-shifted Bragg grating

Journal

OPTICS LETTERS
Volume 39, Issue 5, Pages 1278-1281

Publisher

OPTICAL SOC AMER
DOI: 10.1364/OL.39.001278

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Funding

  1. Russian Foundation for Basic Research (RFBR) [12-07-13113, 12-07-00495, 13-07-00464, 13-07-97001, 14-07-00339]
  2. Ministry of Education and Science of the Russian Federation (RF)
  3. RF [NSh-3970.2014.9, SP-1665.2012.5, SP-4554.2013.5]
  4. Dynasty Foundation

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We present a theoretical study of a new application of the phase-shifted Bragg grating (PSBG) as an optical spatial differentiator operating in reflection. We demonstrate that the PSBG allows to calculate the first-order spatial derivative at oblique incidence and the second-order derivative at normal incidence. As an example, the differentiator is numerically shown to be able to convert an input 2D Gaussian beam into a 2D Hermite-Gaussian mode. We expect the proposed application to be useful for all-optical data processing. (C) 2014 Optical Society of America

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