Synopsis
Explore the exact theory behind diffraction by a circular disk and see how it compares with common approximations.
This book develops a detailed, first‑principles view of how waves scatter from a disk, using the oblate spheroidal wave functions that naturally fit this geometry. It contrasts acoustic results with electromagnetic cases and shows why certain vector solutions are easier to handle in some problems than in others.
Starting from fundamental wave equations and Green’s function techniques, the text explains how the distant field and scattering cross sections are obtained, and how the parameter ka (the ratio of disk diameter to wavelength) governs the behavior of the solution. The discussion covers exact results for sound by a perfectly rigid disk and outlines the challenges of extending these methods to electromagnetic waves, where vector fields add complexity.
- How exact solutions are built from oblate spheroidal wave functions for normal incidence.
- The meaning of ka and how it shapes diffraction patterns and resonances.
- Where Kirchhoff’s theory aligns with or diverges from exact results in acoustics.
- Qualitative behavior near the disk edge, including singularities in velocity components.
Ideal for readers of wave physics, acoustics, and mathematical methods in diffraction, this edition clarifies when approximate theories are useful and when exact results are needed.
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Notes on Diffraction: By a Circular Disk (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of diffraction, a phenomenon that occurs when waves encounter obstacles. The author meticulously examines the diffraction of sound waves by a circular disk, providing a comprehensive theoretical framework based on the wave functions of the oblate spheroid. This approach unveils the intricate patterns of sound waves as they interact with the disk. Additionally, the book explores the Kirchhoff method, an approximate technique for calculating diffraction effects, and compares its results to exact solutions. Through rigorous analysis and insightful discussions, this book deepens our understanding of diffraction, showcasing its significance in the realm of acoustics. 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 # 9781332170098_0
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Notes on Diffraction By a Circular Disk Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332170098
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Notes on Diffraction By a Circular Disk Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332170098
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