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E-book
Author Søndergaard, Thomas M., author

Title Green's Function Integral Equation Methods in Nano-Optics / Thomas M. Søndergaard
Published Boca Raton, FL : CRC Press, [2019]

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Description 1 online resource
Contents Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1: Introduction; 1.1 Overview of methods and scattering problems; 1.2 Optics versus microwaves; 1.3 Examples of nano-optics; 1.4 Notation, abbreviations and symbols; Chapter 2: Theoretical foundation; 2.1 Maxwell's equations; 2.1.1 Boundary conditions; 2.1.2 Wave equations; 2.1.3 Poynting vector; 2.2 Planar layered structures; 2.2.1 Fresnel reflection and transmission; 2.2.2 Planar waveguides and guided modes; 2.3 Scattering theory; 2.3.1 Scatterer in homogeneous material (2D)
2.3.2 Scatterer on a layered structure (2D)2.3.3 Scatterer in homogeneous media (3D); 2.3.4 Scatterer on a layered structure (3D); 2.4 Exercises; Chapter 3: One-dimensional scattering problems; 3.1 Green's function integral equations; 3.2 Numerical approach; 3.3 Example of a simple barrier; 3.4 Iterative FFT-based approach for large structures; 3.5 Guidelines for software implementation; 3.6 Exercises; Chapter 4: Surface integral equation method for 2D scattering problems; 4.1 Scatterer in a homogeneous medium; 4.1.1 Green's function integral equations
4.1.2 Finite-element-based discretization approaches4.1.3 Pulse expansion and point-matching; 4.1.4 Linear-field expansion and point-matching; 4.1.5 Higher-order polynomial field expansion and point matching; 4.1.6 Fourier expansion methods; 4.1.7 Calculating electric and magnetic field distributions; 4.1.8 Examples of metal nanostrip resonators; 4.1.9 Guidelines for software implementation; 4.1.10 Exercises; 4.2 Scatterer on or near planar surfaces; 4.2.1 Green's function for a layered reference structure with planar surfaces; 4.2.2 GFSIEM for a layered reference structure
4.2.3 Calculation of fields using the angular spectrum representation4.2.4 Example: Gold nanostrip on a dielectric substrate; 4.2.5 Example: Silver nanostrip above a silver surface; 4.2.6 Example: Single groove in metal; 4.2.7 Example: Silver nanostrip on a thin-film-silicon- on-silver waveguide; 4.2.8 Example: Microstructured gradient-index lens for THz photoconductive antennas; 4.2.9 Guidelines for software implementation; 4.2.10 Exercises; 4.3 Periodic structures; 4.3.1 Bloch waves; 4.3.2 Green's function for periodic structures; 4.3.3 GFSIEM for periodic structures
4.3.4 Derivatives of periodic Green's function and tabulation4.3.5 Calculating the fields; 4.3.6 Calculating reflection and transmission; 4.3.7 Multilayer periodic structures; 4.3.8 Transfer-matrix method for large structures; 4.3.9 Example: Photonic crystal; 4.3.10 Example: Anti-reflective groove array in a dielectric; 4.3.11 Example: Broadband-absorber ultra-sharp groove array in a metal; 4.3.12 Guidelines for software implementation; 4.3.13 Exercises; Chapter 5: Area integral equation method for 2D scattering problems; 5.1 Green's function integral equations; 5.1.1 s polarization
Summary "The purpose of the book is to give a comprehensive introduction to using Green's function integral equation methods (GFIEMs) for solving scattering problems in nano-optics. The cases of interest from the area of nano-optics include scattering from metal nanoparticles, theoretical studies of the optics of nanostructured surfaces, and studies of scattering from objects placed on or near planar layered structures including optical waveguides. The book also covers different types of integral equation methods for 1D, 2D, and 3D scattering problems in nano-optics, how the integral equations can be discretized and solved numerically, and how this can be done efficiently"-- Provided by publisher
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (EBSCO, viewed February 4, 2019)
Subject Micro-optics -- Mathematics
Green's functions.
TECHNOLOGY & ENGINEERING -- Mechanical.
Green's functions
Form Electronic book
ISBN 9781351260183
1351260189
9781351260190
1351260197