Computational methods for electromagnetic and optical systems
By: John M. Jarem, Partha P. Banerjee
Contributors: Banerjee, Partha P.
Edition: 2nd ed.
Series: Optical science and engineering -- 149; Optical science and engineering (Boca Raton, Fla.) -- 149.
Publisher: CRC Press
Published: 2011
Place of publication: Boca Raton, FL
Language: eng
Number of pages: 416
ISBN-13: 9781439804223
Subjects: Mathematics; Optics; Industrial applications; Electromagnetism
Description: "This text introduces and examines a variety of spectral computational techniques - including k-space theory, Floquet theory and beam propagation - that are used to analyze electromagnetic and optical problems. The book also presents a solution to Maxwell's equations from a set of first order coupled partial differential equations"--Provided by publisher.
Notes: Includes bibliographical references and index.
Table of contents: title: Machine generated contents note: 1.1.Introduction; title: 1.2.Fourier Series and Its Properties; title: 1.3.Fourier Transform; title: 1.4.Hankel Transform; title: 1.5.Discrete Fourier Transform; title: 1.6.Review of Eigenanalysis; title: Problems; title: References; title: 2.1.Introduction; title: 2.2.Transfer Function for Propagation; title: 2.3.Split-Step Beam Propagation Method; title: 2.4.Beam Propagation in Linear Media; title: 2.4.1.Linear Free-Space Beam Propagation; title: 2.4.2.Propagation of Gaussian Beam through Graded Index Medium; title: 2.5.Beam Propagation through Diffraction Gratings: Acoustooptic Diffraction; title: 2.6.Beam Propagation in Kerr-Type Nonlinear Media; title: 2.6.1.Nonlinear Schrodinger Equation; title: 2.6.2.Simulation of Self-Focusing Using Adaptive Fourier and Fourier-Hankel Transform Methods; title: 2.7.Beam Propagation and Coupling in Photorefractive Media; title: 2.7.1.Basic Photorefractive Physics; title: 2.7.2.Induced Transmission Gratings; title: 2.7.3.Induced Reflection Gratings and Bidirectional Beam Propagation Method; title: 2.8.z-Scan Method; title: 2.8.1.Model for Beam Propagation through PR Lithium Niobate; title: 2.8.2.z-Scan: Analytical Results, Simulations, and Sample Experiments; title: Problems; title: References; title: 3.1.Introduction; title: 3.2.Maxwell's Equations; title: 3.3.Constitutive Relations: Frequency Dependence and Chirality; title: 3.3.1.Constitutive Relations and Frequency Dependence; title: 3.3.2.Constitutive Relations for Chiral Media; title: 3.4.Plane Wave Propagation through Linear Homogeneous Isotropic Media; title: 3.4.1.Dispersive Media; title: 3.4.2.Chiral Media; title: 3.5.Power Flow, Stored Energy, Energy Velocity, Group Velocity, and Phase Velocity; title: 3.6.Metamaterials and Negative Index Media; title: 3.6.1.Beam Propagation in NIMs; title: 3.7.Propagation through Photonic Band Gap Structures: The Transfer Matrix Method; title: 3.7.1.Periodic PIM-NIM Structures; title: 3.7.2.EM Propagation in Complex Structures; title: Problems; title: References; title: 4.1.Introduction; title: 4.2.State Variable Analysis of an Isotropic Layer; title: 4.2.1.Introduction; title: 4.2.2.Analysis; title: 4.2.3.Complex Poynting Theorem; title: 4.2.4.State Variable Analysis of an Isotropic Layer in Free Space; title: 4.2.5.State Variable Analysis of a Radar Absorbing Layer; title: 4.2.6.State Variable Analysis of a Source in Isotropic Layered Media; title: 4.3.State Variable Analysis of an Anisotropic Layer; title: 4.3.1.Introduction; title: 4.3.2.Basic Equations; title: 4.3.3.Numerical Results; title: 4.4.One-Dimensional k-Space State Variable Solution; title: 4.4.1.Introduction; title: 4.4.2.k-Space Formulation; title: 4.4.3.Ground Plane Slot Waveguide System; title: 4.4.4.Ground Plane Slot Waveguide System, Numerical Results; title: Problems; title: References; title: 5.1.Introduction; title: 5.2.H-Mode Planar Diffraction Grating Analysis; title: 5.2.1.Full-Field Formulation; title: 5.2.2.Differential Equation Method; title: 5.2.3.Numerical Results; title: 5.2.4.Diffraction Grating Mirror; title: 5.3.Application of RCWA and the Complex Poynting Theorem to E-Mode Planar Diffraction Grating Analysis; title: 5.3.1.E-Mode RCWA Formulation; title: 5.3.2.Complex Poynting Theorem; title: 5.3.2.1.Sample Calculation of PuWE; title: 5.3.2.2.Other Poynting Theorem Integrals; title: 5.3.2.3.Simplification of Results and Normalization; title: 5.3.3.Numerical Results; title: 5.4.Multilayer Analysis of E-Mode Diffraction Gratings; title: 5.4.1.E-Mode Formulation; title: 5.4.2.Numerical Results; title: 5.5.Crossed Diffraction Grating; title: 5.5.1.Crossed Diffraction Grating Formulation; title: 5.5.2.Numerical Results; title: Problems; title: References; title: 6.1.Introduction to Photorefractive Materials; title: 6.2.Dynamic Nonlinear Model for Diffusion-Controlled PR Materials; title: 6.3.Approximate Analysis; title: 6.3.1.Numerical Algorithm; title: 6.3.2.TE Numerical Simulation Results; title: 6.3.3.TM Numerical Simulation Results; title: 6.3.4.Discussion of Results from Approximate Analysis; title: 6.4.Exact Analysis; title: 6.4.1.Finite Difference Kukhtarev Analysis; title: 6.4.2.TM Numerical Simulation Results; title: 6.5.Reflection Gratings; title: 6.5.1.RCWA Optical Field Analysis; title: 6.5.2.Material Analysis; title: 6.5.3.Numerical Results; title: 6.6.Conclusion; title: Problems; title: References; title: 7.1.Introduction; title: 7.2.Rigorous Coupled Wave Analysis Circular Cylindrical Systems; title: 7.3.Rigorous Coupled Wave Analysis Mathematical Formulation; title: 7.3.1.Introduction; title: 7.3.2.Basic Equations; title: 7.3.3.Numerical Results; title: 7.4.Anisotropic Cylindrical Scattering; title: 7.4.1.Introduction; title: 7.4.2.State Variable Analysis; title: 7.4.3.Numerical Results; title: 7.5.Spherical Inhomogeneous Analysis; title: 7.5.1.Introduction; title: 7.5.2.Rigorous Coupled Wave Theory Formulation; title: 7.5.3.Numerical Results; title: Problems; title: References; title: 8.1.Introduction; title: 8.2.RCWA Bipolar Coordinate Formulation; title: 8.2.1.Bipolar and Eccentric Circular Cylindrical, Scattering Region Coordinate Description; title: 8.2.2.Bipolar RCWA State Variable Formulation; title: 8.2.3.Second-Order Differential Matrix Formulation; title: 8.2.4.Thin-Layer, Bipolar Coordinate Eigenfunction Solution; title: 8.3.Bessel Function Solutions in Homogeneous Regions of Scattering System; title: 8.4.Thin-Layer SV Solution in the Inhomogeneous Region of the Scattering System; title: 8.5.Matching of EM Boundary Conditions at Interior-Exterior Interfaces of the Scattering System; title: 8.5.1.Bipolar and Circular Cylindrical Coordinate Relations; title: 8.5.2.Details of Region 2 (Inhomogenous Region) Region 3 (Homogenous Interior Region) EM Boundary Value Matching; title: 8.5.3.Region 0 (Homogenous Exterior Region) Region 2 (Inhomogenous Region) EM Boundary Value Matching; title: 8.5.4.Details of Layer-to-Layer EM Boundary Value Matching in the Inhomogeneous Region; title: 8.5.5.Inhomogeneous Region Ladder-Matrix; title: 8.6.Region 1 Region 3 Bessel-Fourier Coefficient Transfer Matrix; title: 8.7.Overall System Matrix; title: 8.8.Alternate Forms of the Bessel-Fourier Coefficient Transfer Matrix; title: 8.9.Bistatic Scattering Width; title: 8.10.Validation of Numerical Results; title: 8.11.Numerical Results, Examples of Scattering from Homogeneous and Inhomogeneous Material Objects; title: 8.12.Error and Convergence Analysis; title: 8.13.Summary, Conclusions, and Future Work; title: Problems; title: Appendix 8.A; title: Appendix 8.B; title: References; title: 9.1.Introduction; title: 9.2.Case Study I: Fourier Series Expansion, Eigenvalue and Eigenfunction Analysis, and Transfer Matrix Analysis; title: 9.3.Case Study II: Comparison of KPE BA, BC Validation Methods, and SV Methods for Relatively Small Diameter Scattering Objects; title: 9.4.Case Study III: Comparison of BA, BC, and SV Methods for Gradually, Stepped-Up, Index Profile Scattering Objects; title: 9.5.Case Study IV: Comparison of BA, BC, and SV Methods for Mismatched, Index Profile, Scattering Objects; title: 9.6.Case Study V: Comparison of BA, BC, and SV Methods for Gradually, Stepped-Up, Index Scattering Objects with High Index Core; title: 9.7.Case Study VI: Calculation and Convergence Analysis of EM Fields of an Inhomogeneous Region Material Object Using the SV Method, &Delta;epsilon = 1, &alpha; = 5.5, &Lambda; = 0, Example; title: 9.8.Case Study VII: Calculation and Convergence Analysis of EM Fields of an Inhomogeneous Region Material Object Using the SV Method, &Delta;epslon = 0.4, &alpha; = 5.5, &Lambda; = 0 Example; title: 9.9.Case Study VIII: Comparison of Homogeneous and Inhomogeneous Region Bistatic Line Widths; title: 9.10.Case Study IX: Conservation of Power Analysis; title: Appendix 9.A: Interpolation Equations.