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Optical and Quantum Electronics

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01-02-2024

Generalized Laguerre–Gaussian expansion for propagating Ince–Gaussian beams through paraxial optical system

Authors: B. El Mechate, A. Chafiq, A. Belafhal

Published in: Optical and Quantum Electronics | Issue 2/2024

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Abstract

In this work, we propose to give a new mathematical formulation of the Ince–Gaussian beams (IGBs) in terms of generalized Laguerre–Gaussian beams. This new expression reproduces the well-known Ince–Gaussian modes. Based on this expansion and the Huygens–Fresnel diffraction integral, the analytical expression describing the electric field amplitude and the intensity distribution of the IGBs propagating through paraxial ABCD optical system are derived. Numerical simulation and analysis of the propagation of IGBs in free space, thin lens and Fractional Fourier transform system are computed and discussed in details. The results of this work can be regarded as complementary investigation on elliptical beams such as IGBs.

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Title: Generalized Laguerre–Gaussian expansion for propagating Ince–Gaussian beams through paraxial optical system
Authors: B. El Mechate
A. Chafiq
A. Belafhal
Publication date: 01-02-2024
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 2/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05855-w

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