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This book gives a detailed overview of the theory of electromagnetic wave scattering on single, homogeneous, but nonspherical particles. A related Green’s function formalism is systematically developed which provides a powerful mathematical basis not only for the development of numerical approaches but also to discuss those general aspects like symmetry, unitarity, and the validity of Rayleigh’s hypothesis. Example simulations are performed in order to demonstrate the usefulness of the developed formalism as well as to introduce the simulation software which is provided on a CD-ROM with the book.

Electromagnetic waves --- Particles --- Green's functions --- Helmholtz equation --- Wave equation --- Separation of variables --- Electricity & Magnetism --- Light & Optics --- Physics --- Physical Sciences & Mathematics --- Mathematical models --- Scattering --- Optical properties --- Numerical solutions --- Electromagnetic theory. --- Scattering. --- Light, Electromagnetic theory of --- Physics. --- Optics. --- Electrodynamics. --- Engineering. --- Optics and Electrodynamics. --- Engineering, general. --- Electric fields --- Magnetic fields --- Scattering (Physics) --- Classical Electrodynamics. --- Construction --- Industrial arts --- Technology --- Dynamics --- Light

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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.

Acoustics. --- Physics. --- Numerical analysis. --- Computer mathematics. --- Astrophysics. --- Elementary particles (Physics). --- Quantum field theory. --- Numerical and Computational Physics, Simulation. --- Numerical Analysis. --- Computational Science and Engineering. --- Astrophysics and Astroparticles. --- Elementary Particles, Quantum Field Theory. --- Sound-waves --- Scattering. --- Scattering (Physics) --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Computer mathematics --- Electronic data processing --- Mathematics --- Mathematical analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics

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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.

Numerical analysis --- Mathematics --- Astrophysics --- Quantum mechanics. Quantumfield theory --- Vibrations --- Elementary particles --- Physics --- Computer. Automation --- geluidsleer --- akoestiek --- elementaire deeltjes --- astrofysica --- computers --- fysica --- numerieke analyse

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This book gives a detailed overview of the theory of electromagnetic wave scattering on single, homogeneous, but nonspherical particles. Beside the systematically developed Green’s function formalism of the first edition this second and enlarged edition contains additional material regarding group theoretical considerations for nonspherical particles with boundary symmetries, an iterative T-matrix scheme for approximate solutions, and two additional but basic applications. Moreover, to demonstrate the advantages of the group theoretical approach and the iterative solution technique, the restriction to axisymmetric scatterers of the first edition was abandoned.

Astrophysics --- Physics --- Mathematical physics --- Fluid mechanics --- Plasma physics --- Optics. Quantum optics --- Electromagnetism. Ferromagnetism --- Matter physics --- Spectrometric and optical chemical analysis --- Computer science --- molecuulfysica --- astrofysica --- plasmafysica --- theoretische fysica --- telecommunicatie --- fysica --- atoomfysica --- spectrometrie

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Numerical analysis --- Mathematics --- Astrophysics --- Quantum mechanics. Quantumfield theory --- Vibrations --- Elementary particles --- Physics --- Computer. Automation --- geluidsleer --- akoestiek --- elementaire deeltjes --- astrofysica --- computers --- fysica --- numerieke analyse