TWO SINGLE-SHOT METHODS FOR LOCATING MULTIPLE ELECTROMAGNETIC SCATTERERS

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)1721-1746
Journal / PublicationSIAM Journal on Applied Mathematics
Volume73
Issue number4
Online published22 Aug 2013
Publication statusOnline published - 22 Aug 2013
Externally publishedYes

Abstract

We develop two inverse scattering schemes for locating multiple electromagnetic (EM) scatterers by the electric far-field measurement corresponding to a single incident/detecting plane wave. The first scheme is for locating scatterers of small size compared to the wavelength of the detecting plane wave. The multiple scatterers could be extremely general with an unknown number of components, and each scatterer component could be either an impenetrable perfectly conducting obstacle or a penetrable inhomogeneous medium with an unknown content. The second scheme is for locating multiple perfectly conducting obstacles of regular size compared to the detecting EM wavelength. The number of the obstacle components is not required to be known in advance, but the shape of each component must be from a certain known admissible class. The admissible class may consist of multiple different reference obstacles. The second scheme could also be extended to include the medium components if a certain generic condition is satisfied. Both schemes are based on some novel indicator functions whose indicating behaviors could be used to locate the scatterers. No inversion will be involved in calculating the indicator functions, and the proposed methods are very efficient and robust to noise. Rigorous mathematical justifications are provided and extensive numerical experiments are conducted to illustrate the effectiveness of the imaging schemes. © 2013 Society for Industrial and Applied Mathematics.

Research Area(s)

  • inverse electromagnetic scattering, locating, small-and regular-size scatterers, single far-field measurement, indicator functions

Citation Format(s)

TWO SINGLE-SHOT METHODS FOR LOCATING MULTIPLE ELECTROMAGNETIC SCATTERERS. / LI, JINGZHI; LIU, HONGYU; SHANG, ZAIJIU et al.
In: SIAM Journal on Applied Mathematics, Vol. 73, No. 4, 22.08.2013, p. 1721-1746.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review