Monochromatic nonuniqueness in plane-wave inverse scattering

Author

Lam, Kim ; Yedlin, Matthew J.

Author_Institution

Dept. of Electr. & Comput. Eng., British Columbia Univ., Canada

Volume

2A

fYear

2005

fDate

3-8 July 2005

Firstpage

123

Abstract

In this paper we examine the nonuniqueness behavior of the least squares error functional which is iteratively minimized to obtain the material scattering parameters. For monochromatic, plane-wave scattering from a homogeneous, infinite dielectric cylinder and an inhomogeneous dielectric cylinder (2-layered case), the least squares error functional surface has many local minima, creating traps for any gradient-search algorithm. Multi-frequency illumination is shown to reduce significantly the occurrence and depth of these local minima.

Keywords

electromagnetic wave scattering; functional equations; gradient methods; inhomogeneous media; iterative methods; least squares approximations; minimisation; search problems; 2-layered case; gradient-search algorithm; homogeneous infinite dielectric cylinder; inhomogeneous dielectric cylinder; iterative minimization; least squares error functional; local minima; material scattering parameters; monochromatic nonuniqueness; multi-frequency illumination; plane-wave inverse scattering; Computer errors; Dielectric constant; Dielectric materials; Engine cylinders; Inverse problems; Iterative algorithms; Least squares methods; Lighting; Nonuniform electric fields; Scattering parameters;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2005 IEEE

Print_ISBN

0-7803-8883-6

Type

conf

DOI

10.1109/APS.2005.1551752

Filename

1551752