Equations of Mathematical Diffraction Theory 1st Edition by Mezhlum Sumbatyan, Antonio Scalia 9780415308496 0415308496

Equations of Mathematical Diffraction Theory 1st Edition by Mezhlum Sumbatyan, Antonio Scalia – Ebook PDF Instant Download/Delivery:9780415308496, 0415308496 
Full download Equations of Mathematical Diffraction Theory 1st Edition  after payment

Product details:

ISBN 10: 0415308496 
ISBN 13: 9780415308496 
Author: Mezhlum A. Sumbatyan, Antonio Scalia

Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations of mathematical diffraction theory. Following an overview of some general properties of integral and differential operators in the context of the linear theory of diffraction processes, the authors provide estimates of the operator norms for various ranges of the wave number variation, and then examine the spectral properties of these operators. They also present a new analytical method for constructing asymptotic solutions of boundary integral equations in mathematical diffraction theory for the high-frequency case. Clearly demonstrating the close connection between heuristic and rigorous methods in mathematical diffraction theory, this valuable book provides you with the differential and integral equations that can easily be used in practical applications.

Equations of Mathematical Diffraction Theory 1st Table of contents:

1. Some Preliminaries from Analysis and the Theory of Wave Processes

1.1. Fourier Transform, Line Integrals of Complex-Valued Integrands, and Series in Residues

1.2. Convolution Integral Equations and the Wiener-Hopf Method

1.3. Summation of Divergent Series and Integrals

1.4. Asymptotic Estimates of Integrals

1.5. Fredholm Theory for Integral Equations of the Second Kind

1.6. Fredholm Integral Equations of the First Kind

1.7. Singular Integral Equations with a Cauchy-Type Singularity in the Kernel

1.8. Hyper-Singular Integrals and Integral Equations

1.9. Governing Equations of Hydroacroacoustics, Electromagnetic Theory, and Dynamic Elasticity

2. Integral Equations of Diffraction Theory for Obstacles in Unbounded Medium

2.1. Properties of the Potentials of Single and Double Layers

2.2. Basic Integral Equations of the Diffraction Theory

2.3. Properties of Integral Operators of Diffraction Theory: General Case and Low Frequencies

2.4. Full Low-Frequency Solution for Spherical Obstacle

2.5. Application: Scattering Diagram for Obstacles of Canonical Shape

2.6. Asymptotic Character of the Kirchhoff Physical Diffraction Theory

3. Wave Fields in a Layer of Constant Thickness

3.1. Wave Operator in Acoustic Layer. Mode Expansion, Homogeneous and Inhomogeneous Waves

3.2. Principles of Selection of Unique Solution in Unbounded Domain

3.3. Waves in Elastic Layer

3.4. Generalized Riemann’s Zeta Function and Summation of Some Oscillating Series

3.5. Application: Efficient Calculation of Wave Fields in a Layer of Constant Thickness

3.6. Waves in the Stratified Half-Plane

People also search for Equations of Mathematical Diffraction Theory 1st :

    
equation for diffraction
    
diffraction equation derivation
    
equations of mathematical physics
    
equations of mathematical physics pdf
    
diffraction equations

Tags:

Mezhlum Sumbatyan,Antonio Scalia,Equations