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Efficient quadrature for fast oscillating integralof paraxial optics

Abstract

The study concerns the determination of quadrature for the integral solutionof the paraxial wave equation. The difficulty in computation of the integral isassociated with the rapid change of the integrand phase. The developed quadraturetakes into account the fast oscillating character of the integrand. The presentedmethod is an alternative to the commonly used methods based on the use of theFourier transform. The determination of the quadrature is discussed on the exampleof the integral arisen in the theory of propagation and focusing on hard X-rayswaves. Due to the generality of the presented quadrature, it may also be applied toissues related to standard optics and acoustics.

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Category:
Articles
Type:
artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Published in:
Mathematica Applicanda (Matematyka Stosowana) no. 43, pages 253 - 267,
ISSN: 1730-2668
Language:
English
Publication year:
2015
Bibliographic description:
Kshevetskii S., Wojda P.: Efficient quadrature for fast oscillating integralof paraxial optics// Mathematica Applicanda (Matematyka Stosowana). -Vol. 43., nr. 2 (2015), s.253-267
DOI:
Digital Object Identifier (open in new tab) 10.14708/ma.v43i2.688
Verified by:
Gdańsk University of Technology

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