Numerical study of random surface scattering using Coifman wavelets

Y. Tretiakov; G. Lei; G. W. Pan; B. Gilbert

doi:10.1049/ip-map:20040678

Numerical study of random surface scattering using Coifman wavelets

Y. Tretiakov, G. Lei, G. W. Pan, B. Gilbert

Physiology & Biomedical Engineering

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The scattering of electromagnetic waves from one-dimensional rough surfaces is studied numerically using Coifman wavelets. Owing to the orthogonality, vanishing moments and multiresolution analysis of wavelets, sparse impedance matrices have been obtained. More importantly, the coiflets allow the development of a high accuracy one-point quadrature formula, which reduces the computational effort in filling the matrix entries. Excellent agreement of the proposed approach with existing approaches was observed.

Original language	English (US)
Pages (from-to)	331-337
Number of pages	7
Journal	IEE Proceedings: Microwaves, Antennas and Propagation
Volume	151
Issue number	4
DOIs	https://doi.org/10.1049/ip-map:20040678
State	Published - Aug 2004

ASJC Scopus subject areas

Computer Networks and Communications
Electrical and Electronic Engineering

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title = "Numerical study of random surface scattering using Coifman wavelets",

abstract = "The scattering of electromagnetic waves from one-dimensional rough surfaces is studied numerically using Coifman wavelets. Owing to the orthogonality, vanishing moments and multiresolution analysis of wavelets, sparse impedance matrices have been obtained. More importantly, the coiflets allow the development of a high accuracy one-point quadrature formula, which reduces the computational effort in filling the matrix entries. Excellent agreement of the proposed approach with existing approaches was observed.",

author = "Y. Tretiakov and G. Lei and Pan, {G. W.} and B. Gilbert",

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AU - Lei, G.

AU - Pan, G. W.

AU - Gilbert, B.

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AB - The scattering of electromagnetic waves from one-dimensional rough surfaces is studied numerically using Coifman wavelets. Owing to the orthogonality, vanishing moments and multiresolution analysis of wavelets, sparse impedance matrices have been obtained. More importantly, the coiflets allow the development of a high accuracy one-point quadrature formula, which reduces the computational effort in filling the matrix entries. Excellent agreement of the proposed approach with existing approaches was observed.

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Numerical study of random surface scattering using Coifman wavelets

Abstract

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