Asymptotic wave theory

Asymptotic wave theory

by Roseau, Maurice

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Title Statements

  • Full title :Asymptotic wave theory / by Maurice Roseau.

Edition Statements

  • Publication Date:1976.

Publication Statements

The Physical Object

  • Description:1 online resource (x, 349 pages) : : illustrations

Edition Identifiers

  • ISBN:9780720423709, 0720423708, 9780444601919, 0444601910, 1299537308, 9781299537309
  • oclc:ocn679953843
  • LC Classification:QA371
  • Dewey Decimal:515/.353

Table of Contents

Front Cover; Asymptotic Wave Theory; Copyright Page; Preface; Table of Contents; CHAPTER 1. THE FOURIER-LAPLACE INTEGRAL; 1.1. The Laplace transform; 1.2. The Fourier transform in L1; 1.3. The Fourier transform in L2; 1.4. The Laplace transform (continued); 1.5. The Mellin transform; CHAPTER 2. SPECIAL FUNCTIONS; 2.I. The gamma function; 2. II. The Bessel functions; CHAPTER 3. THE WAVE EQUATION; 3.1. Introduction; 3.2. The reflexion and refraction of a plane wave at the interface between two homogeneous media; 3.3. Spherical waves; 3.4. Cylindrical waves; 3.5. Group velocity; 3.6. Wave guide

3.7. Successive reflexions of plane waves at two parallel rigid planes3.8. The relation between spherical and plane waves; 3.9. The reflexion of a spherical wave at a plane interface; 3.10. An alternative approach to Weyl's formula. Poritsky's generalisation; CHAPTER 4. ASYMPTOTIC METHODS; 4.1. Asymptotic expansion; 4.2. The asymptotic expansion of Hankel's functions in the neighborhood of the point at infinity; 4.3. The Laplace method; 4.4. Asymptotic relations and Laplace's transform; 4.5. The Laplace method (continued); 4.6. The method of steepest descent

4.7. Waves in linear dispersive m…

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Subjects

ANALYSE Asymptotes Asymptotic expansions Asymptotische Methode Développements asymptotiques Équation d'onde Équations d'onde Mouvement ondulatoire, Théorie du SCIENCE -- Earth Sciences Théorie du mouvement ondulatoire Wave equation Wave-motion, Theory of Welle Wellengleichung

Writers

Roseau, Maurice

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