Items related to Diffraction at High Frequencies by a Circular Disc...
Synopsis
Explore how high-frequency diffraction by a circular disc is analyzed with a fresh, practical integral approach.
This book presents a clear path from foundational equations to an iterative method that works well at high frequencies. It focuses on developing a simple, workable framework for understanding how waves bend and scatter around circular obstacles.
The author guides readers through the construction of integral equations for sound-soft and sound-hard discs, then shows how to solve them step by step. The approach emphasizes the main ideas and practical steps over heavy theory, helping you see how high-frequency behavior emerges from the math.- How a new integral equation is formed and why it matters at high frequencies
- How to convert and solve equations of the first and second kinds for discs
- How iterative procedures yield the distribution on the disc and the scattering coefficient
- How the method compares with established results and where it can extend them
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Diffraction at High Frequencies by a Circular Disc (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: 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. Seller Inventory # 9781332775910_0
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Diffraction at High Frequencies by a Circular Disc Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332775910
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Diffraction at High Frequencies by a Circular Disc Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332775910
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Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 15 available