Skip to main content
SpringerLink
Log in

Scalar Wave Theory

Green’s Functions and Applications

  • Book
  • © 1992

Overview

Authors:
  1. John A. DeSanto

    1. Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Springer Series on Wave Phenomena (SSWAV, volume 12)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages III-XIII
    Download chapter PDF

  2. Scalar Wave Theory

    • John A. DeSanto
    Pages 1-31

  3. Green’s Functions

    • John A. DeSanto
    Pages 33-77

  4. Scalar Plane Wave Scattering

    • John A. DeSanto
    Pages 79-99

  5. Spherical Waves Scattering from Planar Boundaries

    • John A. DeSanto
    Pages 101-141

  6. Two-Layered Liquid Half-Space (Pekeris Waveguide)

    • John A. DeSanto
    Pages 143-186

  7. Back Matter

    Pages 187-193
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, USA

    John A. DeSanto

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation