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Fredholm factorization of Wiener-Hopf equations (presented by Guido Lombardi)

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WHTW01 - Factorisation of matrix functions: New techniques and applications

spite of the great efforts by many studies, there have been little progresses
towards a general method of constructive factorizations to get exact solution
of vector WH equations. The aim of this talk
is the presentation of an alternative solution technique that is based
to the reduction of the WH equations to
Fredholm equations of second kind (Fredholm
factorization). The presentation will focus to the applications
of the Fredholm factorization to WH
equations occurring in diffraction problem. In particular it is based on five steps:1) Deduction of the WH
equations of the problem,2) Reduction of the WH equations to Fredholm integral
equations (FIE) ,3) Solution of the Fredholm integral equations , 4)Analytical
continuation of the numerical solution of the FIE ,5) Evaluation of the physical
field components if present: reflected and refracted plane waves, diffracted
fields, surface waves, lateral waves, leaky waves, mode excitations, near
field. A characteristic example of
problem will be presented in the following talk.

This talk is part of the Isaac Newton Institute Seminar Series series.

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