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A New Algorithm in Electromagnetic Inverse Scattering Theory with an Application to Medical Imaging
Author(s) -
Colton David,
Monk Peter,
Kress Rainer
Publication year - 1997
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19970325)20:5<385::aid-mma815>3.0.co;2-y
Subject(s) - inverse scattering problem , mathematics , scattering , electromagnetic field , bounded function , microwave imaging , cylinder , isotropy , inverse problem , inverse , mathematical analysis , microwave , geometry , physics , optics , quantum mechanics
We consider the electromagnetic inverse scattering problem of determining the index of refraction of an isotropic inhomogeneous medium from a knowledge of the total electric near field data. We consider both the case of scattering by an infinite inhomogeneous cylinder and a bounded inhomogeneous region in space. We conclude by giving an application of our method to the problem of imaging leukemia in the upper leg by means of microwaves. © 1997 by B. G. Teubner Stuttgart–John Wiley & Sons Ltd.