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Fast Numerical Algorithms for 3-D Scattering from PEC and Dielectric Random Rough Surfaces in Microwave Remote Sensing

Abstract We present fast and robust numerical algorithms for 3-D scattering from perfectly electrical conducting (PEC) and dielectric random rough surfaces in microwave remote sensing. The Coifman wavelets or Coiflets are employed to implement Galerkin’s procedure in the method of moments (MoM). Due to the high-precision one-point quadrature, the Coiflets yield fast evaluations of the most off-diagonal entries, reducing the matrix fill effort from O(N^2) to O(N). The orthogonality and Riesz basis of the Coiflets generate well conditioned impedance matrix, with rapid convergence for the conjugate gradient solver. The resulting impedance matrix is further sparsified by the matrix-formed standard fast wavelet transform (SFWT). By properly selecting mul... (more)
Created Date 2016
Contributor Zhang, Lisha (Author) / Pan, George (Advisor) / Diaz, Rodolfo (Committee member) / Aberle, James (Committee member) / Yu, Hongbin (Committee member) / Arizona State University (Publisher)
Subject Electromagnetics / Coifman wavelets / Fast wavelet transform / Method of moments / Numerical algorithms / Random rough surface / Scattering
Type Doctoral Dissertation
Extent 112 pages
Language English
Reuse Permissions All Rights Reserved
Note Doctoral Dissertation Electrical Engineering 2016
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS

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Description Dissertation/Thesis