Overview

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.

Full Product Details

Author:   John DeSanto
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1992
Volume:   12
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.324kg
ISBN:  

9783642847400

ISBN 10:   3642847404
Pages:   193
Publication Date:   12 February 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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