title: Spatial differentiation of optical beams using phase-shifted Bragg grating.
abstract: 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.
authors.forename: Leonid L
authors.initials: LL
authors.lastname: Doskolovich
authors.forename: Dmitry A
authors.initials: DA
authors.lastname: Bykov
authors.forename: Evgeni A
authors.initials: EA
authors.lastname: Bezus
authors.forename: Victor A
authors.initials: VA
authors.lastname: Soifer