Excerpt from Asymptotic Solution of Some Diffraction Problems
Several have recently discussed a method by which the asymptotic expansion with respect to frequency may be determined for periodic solutions of electromagnetic, acoustic, and other linear wave problems. However, virtually no applications of the method have been made. In the present paper we explain the method, and apply it to construct the asymptotic solutions of a var iety of diffraction problems. Many of these problems have not been solved pre viously. In some cases where the problems have been solved previously we verify that the asymptotic expansions of the known solutions coincide with our asymptotic solutions and compare the exact solutions graphically with the first few terms of the asymptotic solutions.
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Paperback. Condition: New. Print on Demand. This insightful book presents a thorough exploration of the asymptotic expansion of solutions to elliptic equations. The author, a renowned expert in the field, provides a comprehensive examination of cylindrical, spherical, and plane wave solutions, offering a systematic approach to understanding wave diffraction. This book fills a significant gap in the literature, as few resources have previously addressed the subject in such depth. The author meticulously explains the method of asymptotic expansion, guiding readers through the derivation of asymptotic solutions and demonstrating their application to various boundary-value problems. This book also delves into the intriguing phenomenon of diffracted rays, shedding light on their behavior and characteristics. Overall, this book serves as an invaluable resource for researchers and scholars working in the field of mathematical physics, particularly those interested in wave diffraction phenomena. Its in-depth analysis and clear explanations make it an indispensable tool for advancing the understanding of wave propagation and diffraction. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332588695_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332588695
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332588695