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

Presented by: 
Vito Daniele Politecnico di Torino
Date: 
Thursday 15th August 2019 - 11:30 to 12:00
Venue: 
INI Seminar Room 1
Abstract: 

In 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.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons