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155969 https://hdl.handle.net/2286/R.I.46239 http://rightsstatements.org/vocab/InC/1.0/ All Rights Reserved 2017 vi, 54 pages : illustrations (some color) Masters Thesis Academic theses Text eng Cao, Jiahao Pan, George Balanis, Constantine A Cochran, Douglas Arizona State University Partial requirement for: M.S., Arizona State University, 2017 Includes bibliographical references (pages 52-54) Field of study: Electrical engineering Scattering from random rough surface has been of interest for decades. Several<br/><br/>methods were proposed to solve this problem, and Kirchho approximation (KA)<br/><br/>and small perturbation method (SMP) are among the most popular. Both methods<br/><br/>provide accurate results on rst order scattering, and the range of validity is limited<br/><br/>and cross-polarization scattering coecient is zero for these two methods unless these<br/><br/>two methods are carried out for higher orders. Furthermore, it is complicated for<br/><br/>higher order formulation and multiple scattering and shadowing are neglected in these<br/><br/>classic methods.<br/><br/>Extension of these two methods has been made in order to x these problems.<br/><br/>However, it is usually complicated and problem specic. While small slope approximation<br/><br/>is one of the most widely used methods to bridge KA and SMP, it is not easy<br/><br/>to implement in a general form. Two scale model can be employed to solve scattering<br/><br/>problems for a tilted perturbation plane, the range of validity is limited.<br/><br/>A new model is proposed in this thesis to deal with cross-polarization scattering<br/><br/>phenomenon on perfect electric conducting random surfaces. Integral equation<br/><br/>is adopted in this model. While integral equation method is often combined with<br/><br/>numerical method to solve the scattering coecient, the proposed model solves the<br/><br/>integral equation iteratively by analytic approximation. We utilize some approximations<br/><br/>on the randomness of the surface, and obtain an explicit expression. It is shown<br/><br/>that this expression achieves agreement with SMP method in second order. Electromagnetism Backscattering perfect conducting Random rough surface Scattering Electromagnetism Backscattering A new model for cross-polarization scattering from perfect conducting random rough surfaces in backscattering direction