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arXiv · 1203.2604

A simple and effective method for the analytic description of important optical beams, when truncated by finite apertures

Michel Zamboni-Rached·Erasmo Recami·Massimo Balma
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Abstract

In this paper we present a simple and effective method, based on appropriate superpositions of Bessel-Gauss beams, which in the Fresnel regime is able to describe in analytic form the 3D evolution of important waves as Bessel beams, plane waves, gaussian beams, Bessel-Gauss beams, when truncated by finite apertures. One of the byproducts of our mathematical method is that one can get in few seconds, or minutes, high-precision results which normally require quite long times of numerical simulation. The method works in Electromagnetism (Optics, Microwaves,...), as well as in Acoustics. OCIS codes: (999.9999) Non-diffracting waves; (260.1960) Diffraction theory; (070.7545) Wave propagation; (070.0070) Fourier optics and signal processing; (200.0200) Optics in computing; (050.1120) Apertures; (070.1060) Acousto-optical signal processing; (280.0280) Remote sensing and sensors; (050.1755) Computational electromagnetic methods.

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Michel Zamboni-Rached, Erasmo Recami, Massimo Balma. 2012-03-03. A simple and effective method for the analytic description of important optical beams, when truncated by finite apertures. https://doi.org/10.1364/ao.51.003370

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