Decoupled field integral equations for electromagnetic scattering from homogeneous penetrable obstacles

Felipe Vico, Leslie Greengard, Miguel Ferrando

Research output: Contribution to journalArticle

Abstract

We present a new method for the analysis of electromagnetic scattering from homogeneous penetrable bodies. Our approach is based on a reformulation of the governing Maxwell equations in terms of two uncoupled vector Helmholtz systems: one for the electric field and one for the magnetic field. This permits the derivation of resonance-free Fredholm equations of the second kind that are stable at all frequencies, insensitive to the genus of the scatterers, and invertible for all passive materials including those with negative permittivities or permeabilities. We refer to these as decoupled field integral equations.

Original languageEnglish (US)
Pages (from-to)159-184
Number of pages26
JournalCommunications in Partial Differential Equations
Volume43
Issue number2
DOIs
StatePublished - Feb 1 2018

Fingerprint

Fredholm Equation
Electromagnetic Scattering
Hermann Von Helmholtz
Maxwell equations
Permittivity
Reformulation
Maxwell's equations
Invertible
Permeability
Integral equations
Electric Field
Integral Equations
Genus
Magnetic Field
Electric fields
Scattering
Magnetic fields

Keywords

  • Charge-current formulations
  • dielectric interface
  • electromagnetic scattering
  • electromagnetic theory
  • integral equations
  • low-frequency breakdown
  • Maxwell equations

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Decoupled field integral equations for electromagnetic scattering from homogeneous penetrable obstacles. / Vico, Felipe; Greengard, Leslie; Ferrando, Miguel.

In: Communications in Partial Differential Equations, Vol. 43, No. 2, 01.02.2018, p. 159-184.

Research output: Contribution to journalArticle

@article{b57cbc8e3a09496fb3ea97be1716e57c,
title = "Decoupled field integral equations for electromagnetic scattering from homogeneous penetrable obstacles",
abstract = "We present a new method for the analysis of electromagnetic scattering from homogeneous penetrable bodies. Our approach is based on a reformulation of the governing Maxwell equations in terms of two uncoupled vector Helmholtz systems: one for the electric field and one for the magnetic field. This permits the derivation of resonance-free Fredholm equations of the second kind that are stable at all frequencies, insensitive to the genus of the scatterers, and invertible for all passive materials including those with negative permittivities or permeabilities. We refer to these as decoupled field integral equations.",
keywords = "Charge-current formulations, dielectric interface, electromagnetic scattering, electromagnetic theory, integral equations, low-frequency breakdown, Maxwell equations",
author = "Felipe Vico and Leslie Greengard and Miguel Ferrando",
year = "2018",
month = "2",
day = "1",
doi = "10.1080/03605302.2018.1446447",
language = "English (US)",
volume = "43",
pages = "159--184",
journal = "Communications in Partial Differential Equations",
issn = "0360-5302",
publisher = "Taylor and Francis Ltd.",
number = "2",

}

TY - JOUR

T1 - Decoupled field integral equations for electromagnetic scattering from homogeneous penetrable obstacles

AU - Vico, Felipe

AU - Greengard, Leslie

AU - Ferrando, Miguel

PY - 2018/2/1

Y1 - 2018/2/1

N2 - We present a new method for the analysis of electromagnetic scattering from homogeneous penetrable bodies. Our approach is based on a reformulation of the governing Maxwell equations in terms of two uncoupled vector Helmholtz systems: one for the electric field and one for the magnetic field. This permits the derivation of resonance-free Fredholm equations of the second kind that are stable at all frequencies, insensitive to the genus of the scatterers, and invertible for all passive materials including those with negative permittivities or permeabilities. We refer to these as decoupled field integral equations.

AB - We present a new method for the analysis of electromagnetic scattering from homogeneous penetrable bodies. Our approach is based on a reformulation of the governing Maxwell equations in terms of two uncoupled vector Helmholtz systems: one for the electric field and one for the magnetic field. This permits the derivation of resonance-free Fredholm equations of the second kind that are stable at all frequencies, insensitive to the genus of the scatterers, and invertible for all passive materials including those with negative permittivities or permeabilities. We refer to these as decoupled field integral equations.

KW - Charge-current formulations

KW - dielectric interface

KW - electromagnetic scattering

KW - electromagnetic theory

KW - integral equations

KW - low-frequency breakdown

KW - Maxwell equations

UR - http://www.scopus.com/inward/record.url?scp=85043691646&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85043691646&partnerID=8YFLogxK

U2 - 10.1080/03605302.2018.1446447

DO - 10.1080/03605302.2018.1446447

M3 - Article

AN - SCOPUS:85043691646

VL - 43

SP - 159

EP - 184

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

SN - 0360-5302

IS - 2

ER -