Monochromatic nonuniqueness in plane-wave inverse scattering

TitleMonochromatic nonuniqueness in plane-wave inverse scattering
Publication TypeConference Paper
Year of Publication2005
AuthorsLam, K., and M. J. Yedlin
Conference NameAntennas and Propagation Society International Symposium, 2005 IEEE
Pagination123 - 126 vol. 2A
Date Publishedjul.
Keywords2-layered case, electromagnetic wave scattering, functional equations, gradient methods, gradient-search algorithm, homogeneous infinite dielectric cylinder, inhomogeneous dielectric cylinder, inhomogeneous media, iterative methods, iterative minimization, least squares approximations, least squares error functional, local minima, material scattering parameters, minimisation, monochromatic nonuniqueness, multi-frequency illumination, plane-wave inverse scattering, search problems

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.


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