Three. The Electromagnetic Inverse Scattering Problem

  1. Matteo Pastorino

Published Online: 26 APR 2010

DOI: 10.1002/9780470602492.ch3

Microwave Imaging

Microwave Imaging

How to Cite

Pastorino, M. (2010) The Electromagnetic Inverse Scattering Problem, in Microwave Imaging, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470602492.ch3

Publication History

  1. Published Online: 26 APR 2010
  2. Published Print: 24 MAR 2010

Book Series:

  1. Wiley Series in Microwave and Optical Engineering

Book Series Editors:

  1. Kai Chang

Series Editor Information

  1. Texas A&M University, USA

ISBN Information

Print ISBN: 9780470278000

Online ISBN: 9780470602492

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Keywords:

  • dielectric objects;
  • electromagnetic inverse scattering problem;
  • incident radiation;
  • mathematical perspective;
  • microwave imaging techniques

Summary

In this chapter the inverse scattering problem was considered which belongs to the category of inverse problems, which includes many very challenging problems encountered in several applications, including atmospheric sounding, seismology, heat conduction, quantum theory, and medical imaging. From a strictly mathematical perspective, the definition of a problem as the inverse counterpart of a direct one is completely arbitrary. In imaging applications, one measures the scattered field and tries to obtain information on the object subjected to the incident radiation. Computation of the electromagnetic field scattered by arbitrarily shaped dielectric objects when they are illuminated by a generic incident field is a complex task that seldom can be performed by using analytic techniques. Microwave imaging techniques can in principle be applied to three - dimensional configurations without theoretical limitations, most of the approaches proposed so far in the scientific literature are still related to two - dimensional problems.

Controlled Vocabulary Terms

dielectric materials; electromagnetic wave scattering; microwave imaging; radiation