Excerpt from Diffraction at High Frequencies by a Circular Disc
Recently a very general method of tackling the asymptotic solution of diffraction problems has been proposed by Keller and Buchal Their method is applicable, in principle, to discs of arbitrary shape and it is therefore important to confirm that it gives the correct answer for the circular disc. Certainly, it supplies a scattering coefficient which is in agreement with the calculations of Levine and Wu as far as they go. For confirmation of higher order terms it would be necessary to extend the analysis of Levine and Wu.
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Da: Forgotten Books, London, Regno Unito
Paperback. Condizione: New. Print on Demand. This book investigates diffraction at high frequencies, delving into a singular integral equation to solve problems unsolvable through lower frequency methods. The author provides a new integral equation suitable for high frequencies and develops a procedure for obtaining an asymptotic expansion, especially useful for these frequencies. Though a direct iteration on this equation fails, an indirect method proves more successful. Each iterate of this method is of lower order than the preceding and the general term is given, allowing for error estimation. The book places a particular focus on circular discs and provides detailed calculations for a plane wave striking the disc normally. The corresponding integral equations for sound-hard discs are also derived and their iterative procedures described. The distribution on the disc and scattering coefficient are determined, with the latter being presented in asymptotic form. Ultimately, this book makes a significant contribution to the study of high frequency diffraction and deepens our understanding of this phenomenon. 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. Codice articolo 9781332775910_0
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Da: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332775910
Quantità: 15 disponibili
Da: PBShop.store UK, Fairford, GLOS, Regno Unito
PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332775910
Quantità: 15 disponibili