A Monte Carlo method for solving the electromagnetic scattering problem in dielectric bodies

In this work, we develop a novel Monte Carlo method for solving the electromagnetic scattering problem. The method is based on a formal solution of the scattering problem as a modified Born series whose coefficients are found by a conformal transformation. The terms of the Born series are approximat...

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Vydáno v:arXiv.org
Hlavní autoři: Lopez-Menchon, Hector, Rius, Juan M, Heldring, Alexander, Ubeda, Eduard
Médium: Paper
Jazyk:angličtina
Vydáno: Ithaca Cornell University Library, arXiv.org 14.05.2021
Témata:
Conformal mapping
Electromagnetic scattering
Matrix representation
Method of moments
Monte Carlo simulation
ISSN:2331-8422
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Shrnutí:In this work, we develop a novel Monte Carlo method for solving the electromagnetic scattering problem. The method is based on a formal solution of the scattering problem as a modified Born series whose coefficients are found by a conformal transformation. The terms of the Born series are approximated by sampling random elements of its matrix representation, computed by the Method of Moments. Unlike other techniques as the Fast Multiple Method, this Monte Carlo method does not require communications between processors, which makes it suitable for large parallel executions.
Bibliografie:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.2105.06949