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Green's Function Integral Equation Methods in Nano-Optics (Hardcover)
Loot Price: R5,077
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Green's Function Integral Equation Methods in Nano-Optics (Hardcover)
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This book gives a comprehensive introduction to Green's function
integral equation methods (GFIEMs) for scattering problems in the
field of nano-optics. First, a brief review is given of the most
important theoretical foundations from electromagnetics, optics,
and scattering theory, including theory of waveguides, Fresnel
reflection, and scattering, extinction, and absorption cross
sections. This is followed by a presentation of different types of
GFIEMs of increasing complexity for one-, two-, and
three-dimensional scattering problems. In GFIEMs, the
electromagnetic field at any position is directly related to the
field at either the inside or the surface of a scattering object
placed in a reference structure. The properties of the reference
structure, and radiating or periodic boundary conditions, are
automatically taken care of via the choice of Green's function.
This book discusses in detail how to solve the integral equations
using either simple or higher-order finite-element-based methods;
how to calculate the relevant Green's function for different
reference structures and choices of boundary conditions; and how to
calculate near-fields, optical cross sections, and the power
emitted by a local source. Solution strategies for large structures
are discussed based on either transfer-matrix-approaches or the
conjugate gradient algorithm combined with the Fast Fourier
Transform. Special attention is given to reducing the computational
problem for three-dimensional structures with cylindrical symmetry
by using cylindrical harmonic expansions. Each presented method is
accompanied by examples from nano-optics, including: resonant metal
nano-particles placed in a homogeneous medium or on a surface or
waveguide; a microstructured gradient-index-lens; the Purcell
effect for an emitter in a photonic crystal; the excitation of
surface plasmon polaritons by second-harmonic generation in a
polymer fiber placed on a thin metal film; and anti-reflective,
broadband absorbing or resonant surface microstructures. Each
presented method is also accompanied by guidelines for software
implementation and exercises. Features Comprehensive introduction
to Green's function integral equation methods for scattering
problems in the field of nano-optics Detailed explanation of how to
discretize and solve integral equations using simple and
higher-order finite-element approaches Solution strategies for
large structures Guidelines for software implementation and
exercises Broad selection of examples of scattering problems in
nano-optics
General
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