A new inverse formula based on the taylor expansion of the scattering integral

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The influence of an illuminated object on the measured electromagnetic field is specified through the well-known scattering integral. One can obtain the Taylor expansion of this expression with respect to the permittivity of the scatterer, under the assumption that its texture does not differ substantially from the background medium. In this way, novel inverse formulas for the object material are derived and are not exclusively suitable for low-contrast cases. The proposed technique is implemented in a particular example with satisfying results: the computed error is kept relatively low and exhibits endurance in parameter variation. The success of the presented technique has been clearly recorded in numerous other simulations.

Original languageEnglish
Pages (from-to)565-573
Number of pages9
JournalElectromagnetics
Volume30
Issue number7
DOIs
Publication statusPublished - Sep 2010
Externally publishedYes

Fingerprint

Electromagnetic fields
Durability
Permittivity
Textures
Scattering
expansion
endurance
scattering
electromagnetic fields
textures
permittivity
simulation

Keywords

  • inverse scattering
  • low-contrast objects
  • multiple integral
  • scattering theorem
  • Taylor expansion

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Radiation
  • Electronic, Optical and Magnetic Materials

Cite this

A new inverse formula based on the taylor expansion of the scattering integral. / Valagiannopoulos, Constantinos A.

In: Electromagnetics, Vol. 30, No. 7, 09.2010, p. 565-573.

Research output: Contribution to journalArticle

@article{b1891a60744b48128632c3079e8343f7,
title = "A new inverse formula based on the taylor expansion of the scattering integral",
abstract = "The influence of an illuminated object on the measured electromagnetic field is specified through the well-known scattering integral. One can obtain the Taylor expansion of this expression with respect to the permittivity of the scatterer, under the assumption that its texture does not differ substantially from the background medium. In this way, novel inverse formulas for the object material are derived and are not exclusively suitable for low-contrast cases. The proposed technique is implemented in a particular example with satisfying results: the computed error is kept relatively low and exhibits endurance in parameter variation. The success of the presented technique has been clearly recorded in numerous other simulations.",
keywords = "inverse scattering, low-contrast objects, multiple integral, scattering theorem, Taylor expansion",
author = "Valagiannopoulos, {Constantinos A.}",
year = "2010",
month = "9",
doi = "10.1080/02726343.2010.513930",
language = "English",
volume = "30",
pages = "565--573",
journal = "Electromagnetics",
issn = "0272-6343",
publisher = "Taylor and Francis",
number = "7",

}

TY - JOUR

T1 - A new inverse formula based on the taylor expansion of the scattering integral

AU - Valagiannopoulos, Constantinos A.

PY - 2010/9

Y1 - 2010/9

N2 - The influence of an illuminated object on the measured electromagnetic field is specified through the well-known scattering integral. One can obtain the Taylor expansion of this expression with respect to the permittivity of the scatterer, under the assumption that its texture does not differ substantially from the background medium. In this way, novel inverse formulas for the object material are derived and are not exclusively suitable for low-contrast cases. The proposed technique is implemented in a particular example with satisfying results: the computed error is kept relatively low and exhibits endurance in parameter variation. The success of the presented technique has been clearly recorded in numerous other simulations.

AB - The influence of an illuminated object on the measured electromagnetic field is specified through the well-known scattering integral. One can obtain the Taylor expansion of this expression with respect to the permittivity of the scatterer, under the assumption that its texture does not differ substantially from the background medium. In this way, novel inverse formulas for the object material are derived and are not exclusively suitable for low-contrast cases. The proposed technique is implemented in a particular example with satisfying results: the computed error is kept relatively low and exhibits endurance in parameter variation. The success of the presented technique has been clearly recorded in numerous other simulations.

KW - inverse scattering

KW - low-contrast objects

KW - multiple integral

KW - scattering theorem

KW - Taylor expansion

UR - http://www.scopus.com/inward/record.url?scp=77957840676&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957840676&partnerID=8YFLogxK

U2 - 10.1080/02726343.2010.513930

DO - 10.1080/02726343.2010.513930

M3 - Article

VL - 30

SP - 565

EP - 573

JO - Electromagnetics

JF - Electromagnetics

SN - 0272-6343

IS - 7

ER -