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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.
This book presents the Green's function formalism in a basic way
and demonstrates its usefulness for applications to several
well-known problems in classical physics which are usually solved
not by this formalism but other approaches. The book bridges the
gap between applications of the Green's function formalism in
quantum physics and classical physics. This book is written as an
introduction for graduate students and researchers who want to
become more familiar with the Green's function formalism. In 1828
George Green has published an essay that was unfortunately sunken
into oblivion shortly after its publication. It was rediscovered
only after several years by the later Lord Kelvin. But since this
time, using Green's functions for solving partial differential
equations in physics has become an important mathematical tool.
While the conceptual and epistemological importance of these
functions were essentially discovered and discussed in modern
physics - especially in quantum field theory and quantum statistics
- these aspects are rarely touched in classical physics. In doing
it, this book provides an interesting and sometimes new point of
view on several aspects and problems in classical physics, like the
Kepler motion or the description of certain classical probability
experiments in finite event spaces. A short outlook on quantum
mechanical problems concludes this book.
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.
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.
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