Uniform Asymptotic Evaluation of Surface Integrals With Polygonal Integration Domains in Terms of UTD Transition Functions

The field scattered by a scattering body or by an aperture in the free space (or in an unbounded homogenous medium) can be described in terms of a double integral. In this paper we show how a canonical integral on a polygonal domain, with a constant amplitude function and a quadratic phase variation...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2010-04, Vol.58 (4), p.1155-1163
Main Authors: Carluccio, G., Albani, M., Pathak, P.H.
Format: Article
Language:English
Subjects:
Apertures
Applied classical electromagnetism
Applied sciences
Asymptotic diffraction theory
Current measurement
Diffraction, scattering, reflection
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Fresnel reflection
Fundamental areas of phenomenology (including applications)
geometrical theory of diffraction
Laboratories
Optical scattering
Optical surface waves
Phase measurement
Physical theory of diffraction
Physics
Radiocommunications
Radiowave propagation
scattering
Scattering parameters
Surface waves
Telecommunications
Telecommunications and information theory
uniform theory of diffraction (UTD)
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Summary:The field scattered by a scattering body or by an aperture in the free space (or in an unbounded homogenous medium) can be described in terms of a double integral. In this paper we show how a canonical integral on a polygonal domain, with a constant amplitude function and a quadratic phase variation, can be exactly expressed in terms of special functions, namely Fresnel integrals and generalized Fresnel integrals. This exact reduction represents a paradigm for deriving a new asymptotic evaluation for a more general integral. This new asymptotic uniform integral evaluation is expressed in the format of the uniform geometrical theory of diffraction which is convenient for numerical computations.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2010.2041171