## Acoustic and electromagnetic scattering analysis using discrete sourcesThe use of discrete sources in scattering theory has generated significant interest in recent years. A variety of numerical methods using discrete sources now exist. These include the multiple multipole method, the method of auxiliary sources, and the Yasuura method or fictitious current method. In this book, the authors unify these formulations in the context of the so-called discrete sources method. The book includes: * Comprehensive presentation of the discrete sources method; * Original theory - an extension of the conventional null-field method using discrete sources; * Practical examples that demonstrate the efficiency and flexibility of elaborated methods (scattering by particles with high aspect ratio, rough particles, nonaxisymmetric particles, multiple scattering); * List of discrete sources programmes available via the Internet Acoustic and Electromagnetic Scattering Analysis using Discrete Sources will be a valuable reference tool for graduate students and researchers working on applied light-scattering problems in electrical engineering, astronomy, applied mathematics, optics, meteorology, biophysics and remote sensing. |

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### Contents

Projection methods | 10 |

II | 17 |

Single and doublelayer potentials | 23 |

Copyright | |

18 other sections not shown

### Common terms and phrases

acoustic analytic analytic continuation approximate solution auxiliary surface boundary condition bounded domain class C2 closed subset computed consider conventional null-field method convergence coordinate-based null-field method defined dense differential scattering cross-section Dirichlet problem discrete sources method distributed spherical vector domain of class dS(y electric field electromagnetic enclosed FIGURE following theorem Green function h solve Helmholtz equation Hilbert space integral equation interior jump relations linear combination linear independence linearly localized spherical vector Maxwell equations mmax n x H Neumann problem nmax norm null-field equations numerical operator orthogonal parameter particle plane wave Proof prove radiating solution Riesz basis satisfying scattered field Scattering angle deg scattering problem sequence sesquilinear form single-layer potential singularities singularities distributed spherical vector wave spherical wave functions surface current densities surface of class symmetry system of functions systems of vector tangential theorem 1.1 Tikhonov regularization tion vanishes vector functions vector multipoles vector wave functions