Dimensionality reduction in the numerical evaluation of electro-magnetic scattering: From the Kirchhoff's integral method to a zero-dimensional approach
type: Item
instance of: scholarly article
title: Dimensionality reduction in the numerical evaluation of electro-magnetic scattering: From the Kirchhoff's integral method to a zero-dimensional approach
zbMATH Open document ID: 0973.65107
DOI: 10.1016/S0010-4655(99)00461-0
author: Lorenzo Pisani
published in: Computer Physics Communications
publication date: 2001-12-03T00:00:00Z
review text: The author obtains a new estimate of the diffraction coefficients, that can be used in a ray tracing calculation. This approach is the last step (0 dimensions) of a dimensionality reduction procedure which begins with Kirchhoff's integral method (2 dimensions) and proceeds with the boundary wave approach (1 dimension). The zero-dimensional approach is validated through numerical comparison with other methods in a number of test cases.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 78M15
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A45
zbMATH DE Number: 1437212
zbMATH Keywords: diffraction
zbMATH Keywords: boundary wave
zbMATH Keywords: stationary phase
zbMATH Keywords: numerical examples
zbMATH Keywords: Helmholtz equation
reviewed by: Laura Iulia Aniţa
MaRDI profile type: Publication
full work available at URL: s0010-4655(99)00461-0
OpenAlex ID: W2083181541
description: scientific article; zbMATH DE number 1437212