Diffraction theory under the lens of rigorous critique
This book examines key developments in diffraction theory, contrasting them with classical boundary-value problems and exact solutions. It highlights where popular approximations work, where they fail, and how refined methods connect to acoustic and electromagnetic problems.
This edition dives into the relationships between original Kirchhoff solutions and modified approaches, including Rayleigh, Sommerfeld, and Bethe-type analyses. It uses detailed mathematical reasoning to assess boundary conditions, edge behavior, and the convergence of different solution schemes for apertures in screens of various properties."synopsis" may belong to another edition of this title.
Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. This book delves into the intricate world of electromagnetic wave theory, focusing on the challenges and advancements in understanding diffraction ΓΆβ β the bending of waves around obstacles or through apertures. It offers a comprehensive review of key developments in the field up to November 2023, guiding readers through the evolution of thought and mathematical approaches. The author meticulously examines the works of numerous researchers, including Kirchhoff, Sommerfeld, and Braunbek, critically analyzing their theories and highlighting their limitations. He explores various modifications to Kirchhoff's theory, delves into variational formulations, and sheds light on the complexities of diffraction by small apertures and singularities at sharp edges. The book's exploration of Babinet's principle, a fundamental concept in diffraction theory, is particularly insightful. This principle establishes a connection between the diffraction patterns produced by complementary screens and apertures, offering a deeper understanding of wave behavior. Through rigorous analysis and a passion for accuracy, this book reveals the intricacies of diffraction theory and the ongoing quest for precise mathematical solutions to physical problems. It serves as a valuable resource for researchers and students seeking to understand the complexities of electromagnetic wave propagation and the challenges of accurately modelling wave phenomena in the physical world. 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 # 9781330157381_0
Quantity: Over 20 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330157381
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330157381
Quantity: 15 available