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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2025 Issue 2(63), Pages 22–26 (Mi pfmt1027)

This article is cited in 1 paper

PHYSICS

Arnaud’s rotating scalar Gaussian beams with complex astigmatism

S. S. Girgel

Francisk Skorina Gomel State University

Abstract: The solutions of the parabolic equation describing Arnaud’s scalar paraxial light Gaussian beams with complex astigmatism are investigated. The admissible values of free parameters at which such beams carry finite power and are physically realizable have been specified. The explicit expressions describing the properties of an elliptical light spot, its deformation and rotation as it propagates are proposed. The graphical modeling and the corresponding analysis of intensity ellipses are performed.

Keywords: vector beams, Gaussian beams, complex astigmatism, quadratic integrability, rotating beams.

UDC: 535.42

Received: 10.12.2024

DOI: 10.54341/20778708_2025_2_63_22



© Steklov Math. Inst. of RAS, 2026