On a constraint on the electromagnetic constitutive relations of nonhomogeneous linear media

Akhlesh Lakhtakia, Werner S. Weiglhofer

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

In addition to certain physical restrictions on the constitutive tensor of linear media, there exists a mathematical constraint in modern electromagnetic theory. This constraint was shown by Post to arise out of general covariance and was stated by him as a set of two relations. It is shown here that Post's covariance constraint can be set alternatively in the form of a single relation.

Original languageEnglish (US)
Pages (from-to)301-306
Number of pages6
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume54
Issue number3
DOIs
StatePublished - Dec 1 1995

Fingerprint

Constitutive Relations
Tensors
Tensor
Restriction

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

@article{a6ce0715609b48628ff11905265bfa38,
title = "On a constraint on the electromagnetic constitutive relations of nonhomogeneous linear media",
abstract = "In addition to certain physical restrictions on the constitutive tensor of linear media, there exists a mathematical constraint in modern electromagnetic theory. This constraint was shown by Post to arise out of general covariance and was stated by him as a set of two relations. It is shown here that Post's covariance constraint can be set alternatively in the form of a single relation.",
author = "Akhlesh Lakhtakia and Weiglhofer, {Werner S.}",
year = "1995",
month = "12",
day = "1",
doi = "10.1093/imamat/54.3.301",
language = "English (US)",
volume = "54",
pages = "301--306",
journal = "IMA Journal of Applied Mathematics",
issn = "0272-4960",
publisher = "Oxford University Press",
number = "3",

}

TY - JOUR

T1 - On a constraint on the electromagnetic constitutive relations of nonhomogeneous linear media

AU - Lakhtakia, Akhlesh

AU - Weiglhofer, Werner S.

PY - 1995/12/1

Y1 - 1995/12/1

N2 - In addition to certain physical restrictions on the constitutive tensor of linear media, there exists a mathematical constraint in modern electromagnetic theory. This constraint was shown by Post to arise out of general covariance and was stated by him as a set of two relations. It is shown here that Post's covariance constraint can be set alternatively in the form of a single relation.

AB - In addition to certain physical restrictions on the constitutive tensor of linear media, there exists a mathematical constraint in modern electromagnetic theory. This constraint was shown by Post to arise out of general covariance and was stated by him as a set of two relations. It is shown here that Post's covariance constraint can be set alternatively in the form of a single relation.

UR - http://www.scopus.com/inward/record.url?scp=0040270310&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040270310&partnerID=8YFLogxK

U2 - 10.1093/imamat/54.3.301

DO - 10.1093/imamat/54.3.301

M3 - Article

AN - SCOPUS:0040270310

VL - 54

SP - 301

EP - 306

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

SN - 0272-4960

IS - 3

ER -