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Excerpt from Multiple Scattering of Radiation, Vol. 2: The Grating
This report is section b of a series of papers on multiple scattering of radiation. The first three sections,déaling respectively with an arbit rary configuration of parallel cylinders, a planar configuration, and two cylinders will be found in Research Report EM - bn. Formal solutions satis fying any of the usually prescribed boundary conditions at the surface of each cylinder were obtained for the previous scattering problems by explicit ly taking into account all contributions to the excitation of each cylinder by the radiation the remaining cylinders scattered. The solution was ex pressed as the incident wave plus a sum of an infinite number of orders of scattering. The first order, the usual single scattering approximation, resulted from the excitation of each cylinder by only the incident plane wave; the second order arose from the excitation of each element by the first order of scattering from the remaining elements, etc. In the present report we will consider the multiple scattering of radiation by a finite grating of parallel cylinders. To obviate repetition the results of the.
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Multiple Scattering of Radiation, Vol. 2: The Grating (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book delves into the complex world of wave scattering, specifically focusing on the phenomenon of multiple scattering by gratings composed of parallel cylinders. The author meticulously examines the historical progression of this topic, starting from the simplistic single scattering hypothesis and progressing towards a more comprehensive understanding that incorporates the intricate interplay of multiple scattering events. The book explores the limitations of earlier theories, such as those proposed by Schaefer, Reiche, and Rayleigh, and unveils the conditions under which these approximations fail to accurately predict the observed scattering behavior. The author introduces a novel approach that explicitly accounts for the multiple excitations of each cylinder within the grating, leading to a more precise characterization of the scattered wave field. Through a combination of rigorous mathematical analysis and insightful physical interpretations, the book unveils the existence of "maximal effects" ââ â specific wavelengths at which the impact of multiple scattering is most pronounced. These effects manifest as striking anomalies in the scattered intensity, deviating significantly from the predictions of single scattering theory. The author meticulously dissects the factors influencing these anomalies, including the physical properties of the grating elements, the spacing between them, and the angle of incidence of the illuminating wave. In essence, this book provides a groundbreaking exploration of multiple scattering phenomena in gratings, offering valuable insights into the intricate wave interactions that govern these systems. The author's rigorous analysis and lucid explanations shed light on the limitations of classical theories and pave the way for a deeper understanding of wave behavior in complex environments. 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. Bestandsnummer des Verkäufers 9781332874323_0
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