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.
© 2014 Optical Society of America
Diffraction and Gratings
Original Manuscript: December 11, 2013
Manuscript Accepted: January 23, 2014
Published: February 25, 2014
Leonid L. Doskolovich, Dmitry A. Bykov, Evgeni A. Bezus, and Victor A. Soifer, "Spatial differentiation of optical beams using phase-shifted Bragg grating," Opt. Lett. 39, 1278-1281 (2014)