A Computational Alternative for Variational Expressions that Involve Dyadic Green Functions

Jerry A. Krill; Robert H. Andreo; Richard A. Farrell

doi:10.1109/TAP.1982.1142894

A Computational Alternative for Variational Expressions that Involve Dyadic Green Functions

Jerry A. Krill, Robert H. Andreo, Richard A. Farrell

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

3 Scopus citations

Abstract

The dyadic Green function is convenient in formulating integral expressions for eletromagnetic wave scattering. The nature of this function’s singularity, however, can lead to computational difficulties. The fact that this singular behavior can be avoided by recasting the integral expressions in terms of the scalar Helmholtz Green function is demonstrated. The use of the scalar Green function can lead to simplification of scattering calculations. Applications to variational formulations are discussed.

Original language	English (US)
Pages (from-to)	1003-1005
Number of pages	3
Journal	IEEE Transactions on Antennas and Propagation
Volume	30
Issue number	5
DOIs	https://doi.org/10.1109/TAP.1982.1142894
State	Published - Sep 1982
Externally published	Yes

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/TAP.1982.1142894

Cite this

@article{87d97f3203a0454787ee19413d48e6ef,

title = "A Computational Alternative for Variational Expressions that Involve Dyadic Green Functions",

abstract = "The dyadic Green function is convenient in formulating integral expressions for eletromagnetic wave scattering. The nature of this function{\textquoteright}s singularity, however, can lead to computational difficulties. The fact that this singular behavior can be avoided by recasting the integral expressions in terms of the scalar Helmholtz Green function is demonstrated. The use of the scalar Green function can lead to simplification of scattering calculations. Applications to variational formulations are discussed.",

author = "Krill, {Jerry A.} and Andreo, {Robert H.} and Farrell, {Richard A.}",

year = "1982",

month = sep,

doi = "10.1109/TAP.1982.1142894",

language = "English (US)",

volume = "30",

pages = "1003--1005",

journal = "IEEE Transactions on Antennas and Propagation",

issn = "0018-926X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "5",

}

TY - JOUR

T1 - A Computational Alternative for Variational Expressions that Involve Dyadic Green Functions

AU - Krill, Jerry A.

AU - Andreo, Robert H.

AU - Farrell, Richard A.

PY - 1982/9

Y1 - 1982/9

N2 - The dyadic Green function is convenient in formulating integral expressions for eletromagnetic wave scattering. The nature of this function’s singularity, however, can lead to computational difficulties. The fact that this singular behavior can be avoided by recasting the integral expressions in terms of the scalar Helmholtz Green function is demonstrated. The use of the scalar Green function can lead to simplification of scattering calculations. Applications to variational formulations are discussed.

AB - The dyadic Green function is convenient in formulating integral expressions for eletromagnetic wave scattering. The nature of this function’s singularity, however, can lead to computational difficulties. The fact that this singular behavior can be avoided by recasting the integral expressions in terms of the scalar Helmholtz Green function is demonstrated. The use of the scalar Green function can lead to simplification of scattering calculations. Applications to variational formulations are discussed.

UR - http://www.scopus.com/inward/record.url?scp=0020182850&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020182850&partnerID=8YFLogxK

U2 - 10.1109/TAP.1982.1142894

DO - 10.1109/TAP.1982.1142894

M3 - Article

AN - SCOPUS:0020182850

SN - 0018-926X

VL - 30

SP - 1003

EP - 1005

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 5

ER -

A Computational Alternative for Variational Expressions that Involve Dyadic Green Functions

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this