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Electromagnetic scattering from anisotropic materials, part I: General theory

1984; Institute of Electrical and Electronics Engineers; Volume: 32; Issue: 8 Linguagem: Inglês

10.1109/tap.1984.1143422

1558-3643

Roberto D. Graglia, Piergiorgio L. E. Uslenghi,

Numerical methods in inverse problems

Integro-differential equations are obtained for the electric and magnetic fields inside a linear, lossy, and anisotropic scatterer, in the frequency domain. The material of the scatterer is characterized by arbitrary values of the elements of the relative permittivity tensor \bar{\epsilon} , the relative permeability tensor \bar{\mu} , and the conductivity tensor \bar{\sigma} . The results are specialized to the case of oblique scattering in two dimensions, for which a numerically efficient computer code has been developed and tested, as described in a companion paper (Part II). The method developed herein is based on a comparison between macroscopic and microscopic descriptions of electromagnetic fields in material media, and is of general applicability.