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Proceedings Paper

Amplitude evaluation in caustic area
Author(s): Monika Borwinska; Grazyna Mulak
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Paper Abstract

The goal of this paper is the analysis of the wavefield in the vicinity of the simple two dimensional caustics. The caustics and the focuses are the objects of interest of many technical applications. Ten years ago it seemed that due to packets of the special functions stored in memory of computer evaluation of the field in the caustic area and in focuses will become the simple procedure. Nothing such occurred excepting the access to the special functions. On the example of the simplest case the caustic with one cusp was shown how the problem of evaluation of the amplitude may be overcome. For the appearing of caustics are responsible the concave fragments of the wavefront. From many possibilities we choose to consider the concavity which produces at the plane closing it cosine phase function (formula in paper)and the unity amplitude. Thus, our elementary task is simplified to the niche, which acts as cosine phase filter. The calculations were carried out on the cross section from the caustic to their asymptote using several methods. The first rough estimation was obtained on the grounds of knowledge of created caustic type and focusing index. Then it was shown as the stationary phase method which fails in this region is helpful besides of overlapping of active regions. The obtained results were compared with these obtained due to Kirchhoff s integral.

Paper Details

Date Published: 21 November 2003
PDF: 7 pages
Proc. SPIE 5259, 13th Polish-Czech-Slovak Conference on Wave and Quantum Aspects of Contemporary Optics, (21 November 2003); doi: 10.1117/12.545103
Show Author Affiliations
Monika Borwinska, Wroclaw Univ. of Technology (Poland)
Grazyna Mulak, Wroclaw Univ. of Technology (Poland)

Published in SPIE Proceedings Vol. 5259:
13th Polish-Czech-Slovak Conference on Wave and Quantum Aspects of Contemporary Optics
Jerzy Nowak; Marek Zajac; Jan Masajada, Editor(s)

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