Optical computation of the Laplace operator using phase-shifted Bragg grating

Abstract

Diffraction of a 3D optical beam on a multilayer phase-shifted Bragg grating (PSBG) is considered. It is shown that the PSBG enables optical computation of the spatial Laplace operator of the electromagnetic field components of the incident beam. The computation of the Laplacian is performed in reflection at normal incidence. As a special case, the parameters of the PSBG transforming the incident Gaussian beam into a Laguerre-Gaussian mode of order (1,0) are obtained. Presented numerical results demonstrate high quality of the Laplace operator computation and confirm the possibility of the formation of Laguerre-Gaussian mode. We expect the proposed applications to be useful for all-optical data processing.

Contribution of Samara Scientists Into Computer Optics Journal Development

“…It was shown that such gratings have a high efficiency and can significantly reduce the size of the projection devices used in mobile phones, etc. Modern computational and technological capabilities allow colleagues and students of I. N. Sissakian to transfer from the tasks of diffractive optics to the problems of diffractive nanophotonics [122][123][124][125][126][127][128][129][130][131].…”

“…These results open up the prospects of solving one of the main tasks of computer optics -implementation of optical calculations [124][125][126][127] and lay the intellectual foundations of advanced information technologies [131]. Finally, we mention two practical applications of computer optics elements: protective holograms [132][133] and optical filters for professional and amateur photography [134] …”

Arbitrary Multi-way Parallel Mathematical Operations Based on Planar Discrete Metamaterials

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Plasmonic computing of spatial differentiation

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