Abstract

A quadratic approximation of the electromagnetic scattering equation is used to solve the inverse problem of the reconstruction of the dielectric permittivity function of a rotationally symmetric cylindrical object embedded in a homogeneous medium and illuminated by an incident plane wave at fixed frequency. The problem is formulated as the minimization of a properly defined functional. Because the operator involved in the inversion is quadratic, it is possible to discuss and avoid the presence of local minima (a well-known problem in nonlinear inversion). Theoretical considerations and numerical examples show the advantages of using a quadratic model in comparison with a linear one.

© 1997 Optical Society of America

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Errata

Rocco Pierri and Adriana Brancaccio, "Imaging of a rotationally symmetric dielectric cylinder by a quadratic approach: errata," J. Opt. Soc. Am. A 15, 549-549 (1998)
https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-15-2-549

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