Excerpt from Scattering From a Penetrable Sphere at High Frequencies
We consider a scalar plane wave incident on a penetrable sphere in the limit of high frequencies for which the wave length of the incident wave is small compared to the radius of the Sphere. Quantum mechanically, the prob lem represents the scattering of a highly energetic particle by an attractive square well. It is also closely related to the corresponding electromagnetic problem which occurs in the scattering of light by water droplets. As such, it has engaged the attention of very many scientists whom we can not hope to enumerate here. A.more or less complete historical record of the contributors to the raindrop prdblem.may be found in van de Hulst's book [i]. The justifi cation of the present work lies in the new representation of the scattering amplitude which is particularly appropriate to the study of it in the high frequency or short wave length limit. By means of it, it is possible to dis tinguish the contributions of the geometric optics field and of the diffracted field.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Anbieter: Forgotten Books, London, Vereinigtes Königreich
Paperback. Zustand: New. Print on Demand. This book presents a novel representation of the scattering amplitude and explores the scattering of scalar plane waves from a penetrable sphere under the high-frequency, short wavelength approximation. It provides a new tool to analyze both geometric optics contributions and diffracted contributions to the scattering field. The author introduces the parameter p, representing the number of internal refractions a ray undergoes, to organize the analysis of different ray contributions to the scattering field and shows how to evaluate these contributions using the Debye expansion and the method of steepest descents. The book reveals the rainbow phenomenon as a result of a stationary point of the third order and elucidates the transition between geometric optics and the diffractive contributions in the neighborhood of the rainbow angle. It offers a more comprehensive and physically insightful perspective on the scattering from penetrable spheres than what is available in existing literature. 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 9781333395575_0
Anzahl: Mehr als 20 verfügbar
Anbieter: PBShop.store US, Wood Dale, IL, USA
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333395575
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333395575
Anzahl: 15 verfügbar