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JOURNALS // Computer Optics // Archive

Computer Optics, 2017 Volume 41, Issue 5, Pages 617–625 (Mi co430)

This article is cited in 4 papers

OPTO-IT

An analysis of the spatial spectrum of Hermite-Gauss beams with embedded optical vortex

A. V. Ustinov

Image Processing Systems Institute îf RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia

Abstract: This work deals with a detailed theoretical study of Hermite-Gauss beams with embedded vortical phase passing through a lens. Special attention is given to the location of vortical phase singularities in the focal plane. Sufficient conditions for the intensity null in the focal plane centre are found. The theoretical analysis is confirmed by numerical calculations.

Keywords: Hermite-Gauss beam; phase singularity; trigonometric transforms.

Received: 11.08.2017
Accepted: 02.10.2017

DOI: 10.18287/2412-6179-2017-41-5-617-625



© Steklov Math. Inst. of RAS, 2026