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Scalar Wave Theory: Green’s Functions and Applications: Springer Series on Wave Phenomena, cartea 12

Autor John DeSanto
en Limba Engleză Paperback – 12 feb 2012
This book comprises some of the lecture notes I developed for various one-or two-semester courses I taught at the Colorado School of Mines. The main objective of all the courses was to introduce students to the mathematical aspects of wave theory with a focus on the solution of some specific fundamental problems. These fundamental solutions would then serve as a basis for more complex wave propagation and scattering problems. Although the courses were taught in the mathematics department, the audience was mainly not mathematicians. It consisted of gradu­ ate science and engineering majors with a varied background in both mathematics and wave theory in general. I believed it was necessary to start from fundamental principles of both advanced applied math­ ematics as well as wave theory and to develop them both in some detail. The notes reflect this type of development, and I have kept this detail in the text. I believe it essential in technical careers to see this detailed development at least once. This volume consists of five chapters. The first two on Scalar Wave Theory (Chapter 1) and Green's Functions (Chapter 2) are mainly mathematical although in Chapter 1 the wave equation is derived from fundamental physical principles. More complicated problems involving spatially and even temporally varying media are briefly introduced.
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Specificații

ISBN-13: 9783642847400
ISBN-10: 3642847404
Pagini: 208
Ilustrații: XIV, 193 p.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.3 kg
Ediția:Softcover reprint of the original 1st ed. 1992
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Series on Wave Phenomena

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

c2.- 4.6 Case 2: c1 < c2.- 4.7 Transmitted Field.- 4.A Steepest Descent Method.- 5. Two-Layered Liquid Half-Space (Pekeris Waveguide).- 5.1 Geometry and Notation.- 5.2 Green’s Function.- 5.3 Analytic Properties of G2.- 5.4 Normal Mode (NM)Representation.- 5.5 Fourier-Bessel Representation.- 5.6 Pseudo-proper Modes.- 5.7 Leaky Waves.- 5.8 Branch Line Integral (BLI).- 5.9 Virtual Modes.- 5.10 Modal Attenuation.- 5.A Proof of the Contour Representation.- References.