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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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Authors (2)
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Sergei Kshevetskii
- . .
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.14708/ma.v43i2.688
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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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