Directional decomposition and generalized-screen approximation for the scattering of electromagnetic waves in isotropic frequency dependent media

Jerome H. Le Rousseau; Maarten V. de Hoop; Gary R. Olhoeft

doi:10.1117/12.383527

27 April 2000 Directional decomposition and generalized-screen approximation for the scattering of electromagnetic waves in isotropic frequency dependent media

Jerome H. Le Rousseau, Maarten V. de Hoop, Gary R. Olhoeft

Author Affiliations +

Proceedings Volume 4084, Eighth International Conference on Ground Penetrating Radar; (2000) https://doi.org/10.1117/12.383527
Event: 8th International Conference on Ground Penetrating Radar, 2000, Gold Coast, Australia

Abstract

The electromagnetic wavefield is decomposed into up- and downgoing constituents, which allows the introduction of the one-way wave operator. Transverse scattering is taken into account by a pseudodifferential operator, the vertical slowness operator. The actual computation of the one-way wave propagator is made feasible by the introduction of the so- called generalized-screen approximation of the vertical slowness symbol. The medium is defined in terms of a background medium and a perturbation. Such a contrast formulation induces a polyhomogeneous series expansion of the vertical slowness symbol in both the magnitude and the smoothness of the medium perturbation; the addition of higher- order terms of the series expansion increases the accuracy of the one-way generalized-screen propagator. The medium parameters, dielectric permittivity and magnetic permeability, are described by Cole-Cole distributions to allow a realistic description of frequency dependent medium properties. These results are then cast into a family of fast numerical algorithms. We analyze the accuracy of the generalized-screen method in complex structures using synthetic models that exhibit significant multiple scattering. The generalized- screen method shows accuracy for wide-angle propagation as well as for the prediction of multi-pathing.

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Jerome H. Le Rousseau, Maarten V. de Hoop, and Gary R. Olhoeft "Directional decomposition and generalized-screen approximation for the scattering of electromagnetic waves in isotropic frequency dependent media", Proc. SPIE 4084, Eighth International Conference on Ground Penetrating Radar, (27 April 2000); https://doi.org/10.1117/12.383527

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