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Simplified closed‐form expressions for computing the generalized fresnel integral and their application to vertex diffraction
Author(s) -
Capolino F.,
Maci S.
Publication year - 1995
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650090113
Subject(s) - fresnel integral , diffraction , fresnel diffraction , vertex (graph theory) , mathematics , function (biology) , plane (geometry) , field (mathematics) , mathematical analysis , physics , optics , geometry , pure mathematics , combinatorics , graph , evolutionary biology , biology
The generalized Fresnel integral serves as a canonical function for the uniform ray field representation of several high‐frequency diffraction mechanisms. In this article, an example of application of this canonical function is examined, which is concerned with the diffraction at a plane angular sector with soft boundary conditions on its faces. Closed‐form expressions for computing this canonical function are presented, and it is shown that the approximate formulation adopted herein is accurate and very fast to calculate. © 1995 John Wiley & Sons, Inc.