Sound Scattering on Spherical Objects

✍ Scribed by Tom Rother

• Publisher: Springer
• Year: 2020
• Tongue: English
• Leaves: 265
• Category: Library

✦ Synopsis

This book introduces readers to scattering from a practical/numerical point of view. The focus is on basic aspects like single scattering, multiple scattering, and whether inhomogeneous boundary conditions or inhomogeneous scatterers have to be taken into account. The powerful T-matrix approach is explained in detail and used throughout the book, and iterative solution methods are discussed. In addition, the book addresses appropriate criteria for estimating the accuracy of numerical results, as well as their importance for practical applications. Python code is provided with each chapter, and can be freely used and modified by readers. Moreover, numerous scattering results for different configurations are provided for benchmarking purposes. The book will be particularly valuable for those readers who plan to develop their own scattering code, and wish to test the correct numerical implementation of the underlying mathematics.

✦ Table of Contents

Preface
Contents
1 Basics of Plane Wave Scattering
1.1 Helmholtz Equation and Eigensolutions
1.2 Transformation Behavior of the Eigensolutions
1.2.1 Translation Along the Z-Axis
1.2.2 Rotation Around the Origin
1.2.3 Two Combinations
1.3 Series Expansions of the Fields and Scattering Quantities
1.3.1 Series Expansions
1.3.2 Scattering Quantities
1.4 About the Accuracy of Scattering Solutions
1.5 Debye Potentials for Electromagnetic Scattering
1.6 Python Programs
References
2 Scattering on Single Homogeneous and Two-Layered Spheres
2.1 T-Matrices of Homogeneous Spheres
2.1.1 Sound Soft Sphere
2.1.2 Sound Hard Sphere
2.1.3 Sound Penetrable Sphere
2.2 T-Matrices of Two-Layered Spheres
2.3 Rotated and Shifted Spheres
2.3.1 Rotated Spheres
2.3.2 Spheres Shifted Along the z-Axis
2.3.3 Arbitrarily Shifted Spheres
2.4 Boundary Conditions for the Debye Potentials and an Outlook to Scattering from Nonspherical Geometries
2.5 Python Programs
References
3 Scattering on Janus Spheres
3.1 Janus Sphere of h-s Type
3.1.1 Axisymmetric Orientation
3.1.2 Arbitrary Rotation
3.2 Janus Sphere of s-p Type
3.2.1 Axisymmetric Orientation
3.2.2 Arbitrary Rotation
3.3 Janus Sphere of h-p Type
3.3.1 Axisymmetric Orientation
3.3.2 Arbitrary Rotation
3.4 Python Programs
References
4 Scattering on Bispheres
4.1 A Simple Approximation
4.2 T-Matrix Equations and Iterative Solutions
4.2.1 Axisymmetric Orientation
4.2.2 Arbitrary Orientation
4.3 Python Programs
References
Appendix A Full Python Programs of Chap.[chap1]1
Appendix B Full Python Programs of Chap.[chap2]2
Appendix C Full Python Programs of Chap.[chap3]3
Appendix D Full Python Programs of Chap.[chap4]4