Computational methods for electromagnetic and optical systems - Info and Reading Options

"Computational methods for electromagnetic and optical systems" Table Of Contents:

• 1- Machine generated contents note: 1.1.Introduction
• 2- 1.2.Fourier Series and Its Properties
• 3- 1.3.Fourier Transform
• 4- 1.4.Hankel Transform
• 5- 1.5.Discrete Fourier Transform
• 6- 1.6.Review of Eigenanalysis
• 7- Problems
• 8- References
• 9- 2.1.Introduction
• 10- 2.2.Transfer Function for Propagation
• 11- 2.3.Split-Step Beam Propagation Method
• 12- 2.4.Beam Propagation in Linear Media
• 13- 2.4.1.Linear Free-Space Beam Propagation
• 14- 2.4.2.Propagation of Gaussian Beam through Graded Index Medium
• 15- 2.5.Beam Propagation through Diffraction Gratings: Acoustooptic Diffraction
• 16- 2.6.Beam Propagation in Kerr-Type Nonlinear Media
• 17- 2.6.1.Nonlinear Schrodinger Equation
• 18- 2.6.2.Simulation of Self-Focusing Using Adaptive Fourier and Fourier-Hankel Transform Methods
• 19- 2.7.Beam Propagation and Coupling in Photorefractive Media
• 20- 2.7.1.Basic Photorefractive Physics
• 21- 2.7.2.Induced Transmission Gratings
• 22- 2.7.3.Induced Reflection Gratings and Bidirectional Beam Propagation Method
• 23- 2.8.z-Scan Method
• 24- 2.8.1.Model for Beam Propagation through PR Lithium Niobate
• 25- 2.8.2.z-Scan: Analytical Results, Simulations, and Sample Experiments
• 26- Problems
• 27- References
• 28- 3.1.Introduction
• 29- 3.2.Maxwell's Equations
• 30- 3.3.Constitutive Relations: Frequency Dependence and Chirality
• 31- 3.3.1.Constitutive Relations and Frequency Dependence
• 32- 3.3.2.Constitutive Relations for Chiral Media
• 33- 3.4.Plane Wave Propagation through Linear Homogeneous Isotropic Media
• 34- 3.4.1.Dispersive Media
• 35- 3.4.2.Chiral Media
• 36- 3.5.Power Flow, Stored Energy, Energy Velocity, Group Velocity, and Phase Velocity
• 37- 3.6.Metamaterials and Negative Index Media
• 38- 3.6.1.Beam Propagation in NIMs
• 39- 3.7.Propagation through Photonic Band Gap Structures: The Transfer Matrix Method
• 40- 3.7.1.Periodic PIM-NIM Structures
• 41- 3.7.2.EM Propagation in Complex Structures
• 42- Problems
• 43- References
• 44- 4.1.Introduction
• 45- 4.2.State Variable Analysis of an Isotropic Layer
• 46- 4.2.1.Introduction
• 47- 4.2.2.Analysis
• 48- 4.2.3.Complex Poynting Theorem
• 49- 4.2.4.State Variable Analysis of an Isotropic Layer in Free Space
• 50- 4.2.5.State Variable Analysis of a Radar Absorbing Layer
• 51- 4.2.6.State Variable Analysis of a Source in Isotropic Layered Media
• 52- 4.3.State Variable Analysis of an Anisotropic Layer
• 53- 4.3.1.Introduction
• 54- 4.3.2.Basic Equations
• 55- 4.3.3.Numerical Results
• 56- 4.4.One-Dimensional k-Space State Variable Solution
• 57- 4.4.1.Introduction
• 58- 4.4.2.k-Space Formulation
• 59- 4.4.3.Ground Plane Slot Waveguide System
• 60- 4.4.4.Ground Plane Slot Waveguide System, Numerical Results
• 61- Problems
• 62- References
• 63- 5.1.Introduction
• 64- 5.2.H-Mode Planar Diffraction Grating Analysis
• 65- 5.2.1.Full-Field Formulation
• 66- 5.2.2.Differential Equation Method
• 67- 5.2.3.Numerical Results
• 68- 5.2.4.Diffraction Grating Mirror
• 69- 5.3.Application of RCWA and the Complex Poynting Theorem to E-Mode Planar Diffraction Grating Analysis
• 70- 5.3.1.E-Mode RCWA Formulation
• 71- 5.3.2.Complex Poynting Theorem
• 72- 5.3.2.1.Sample Calculation of PuWE
• 73- 5.3.2.2.Other Poynting Theorem Integrals
• 74- 5.3.2.3.Simplification of Results and Normalization
• 75- 5.3.3.Numerical Results
• 76- 5.4.Multilayer Analysis of E-Mode Diffraction Gratings
• 77- 5.4.1.E-Mode Formulation
• 78- 5.4.2.Numerical Results
• 79- 5.5.Crossed Diffraction Grating
• 80- 5.5.1.Crossed Diffraction Grating Formulation
• 81- 5.5.2.Numerical Results
• 82- Problems
• 83- References
• 84- 6.1.Introduction to Photorefractive Materials
• 85- 6.2.Dynamic Nonlinear Model for Diffusion-Controlled PR Materials
• 86- 6.3.Approximate Analysis
• 87- 6.3.1.Numerical Algorithm
• 88- 6.3.2.TE Numerical Simulation Results
• 89- 6.3.3.TM Numerical Simulation Results
• 90- 6.3.4.Discussion of Results from Approximate Analysis
• 91- 6.4.Exact Analysis
• 92- 6.4.1.Finite Difference Kukhtarev Analysis
• 93- 6.4.2.TM Numerical Simulation Results
• 94- 6.5.Reflection Gratings
• 95- 6.5.1.RCWA Optical Field Analysis
• 96- 6.5.2.Material Analysis
• 97- 6.5.3.Numerical Results
• 98- 6.6.Conclusion
• 99- Problems
• 100- References
• 101- 7.1.Introduction
• 102- 7.2.Rigorous Coupled Wave Analysis Circular Cylindrical Systems
• 103- 7.3.Rigorous Coupled Wave Analysis Mathematical Formulation
• 104- 7.3.1.Introduction
• 105- 7.3.2.Basic Equations
• 106- 7.3.3.Numerical Results
• 107- 7.4.Anisotropic Cylindrical Scattering
• 108- 7.4.1.Introduction
• 109- 7.4.2.State Variable Analysis
• 110- 7.4.3.Numerical Results
• 111- 7.5.Spherical Inhomogeneous Analysis
• 112- 7.5.1.Introduction
• 113- 7.5.2.Rigorous Coupled Wave Theory Formulation
• 114- 7.5.3.Numerical Results
• 115- Problems
• 116- References
• 117- 8.1.Introduction
• 118- 8.2.RCWA Bipolar Coordinate Formulation
• 119- 8.2.1.Bipolar and Eccentric Circular Cylindrical, Scattering Region Coordinate Description
• 120- 8.2.2.Bipolar RCWA State Variable Formulation
• 121- 8.2.3.Second-Order Differential Matrix Formulation
• 122- 8.2.4.Thin-Layer, Bipolar Coordinate Eigenfunction Solution
• 123- 8.3.Bessel Function Solutions in Homogeneous Regions of Scattering System
• 124- 8.4.Thin-Layer SV Solution in the Inhomogeneous Region of the Scattering System
• 125- 8.5.Matching of EM Boundary Conditions at Interior-Exterior Interfaces of the Scattering System
• 126- 8.5.1.Bipolar and Circular Cylindrical Coordinate Relations
• 127- 8.5.2.Details of Region 2 (Inhomogenous Region) Region 3 (Homogenous Interior Region) EM Boundary Value Matching
• 128- 8.5.3.Region 0 (Homogenous Exterior Region) Region 2 (Inhomogenous Region) EM Boundary Value Matching
• 129- 8.5.4.Details of Layer-to-Layer EM Boundary Value Matching in the Inhomogeneous Region
• 130- 8.5.5.Inhomogeneous Region Ladder-Matrix
• 131- 8.6.Region 1 Region 3 Bessel-Fourier Coefficient Transfer Matrix
• 132- 8.7.Overall System Matrix
• 133- 8.8.Alternate Forms of the Bessel-Fourier Coefficient Transfer Matrix
• 134- 8.9.Bistatic Scattering Width
• 135- 8.10.Validation of Numerical Results
• 136- 8.11.Numerical Results, Examples of Scattering from Homogeneous and Inhomogeneous Material Objects
• 137- 8.12.Error and Convergence Analysis
• 138- 8.13.Summary, Conclusions, and Future Work
• 139- Problems
• 140- Appendix 8.A
• 141- Appendix 8.B
• 142- References
• 143- 9.1.Introduction
• 144- 9.2.Case Study I: Fourier Series Expansion, Eigenvalue and Eigenfunction Analysis, and Transfer Matrix Analysis
• 145- 9.3.Case Study II: Comparison of KPE BA, BC Validation Methods, and SV Methods for Relatively Small Diameter Scattering Objects
• 146- 9.4.Case Study III: Comparison of BA, BC, and SV Methods for Gradually, Stepped-Up, Index Profile Scattering Objects
• 147- 9.5.Case Study IV: Comparison of BA, BC, and SV Methods for Mismatched, Index Profile, Scattering Objects
• 148- 9.6.Case Study V: Comparison of BA, BC, and SV Methods for Gradually, Stepped-Up, Index Scattering Objects with High Index Core
• 149- 9.7.Case Study VI: Calculation and Convergence Analysis of EM Fields of an Inhomogeneous Region Material Object Using the SV Method, Δepsilon = 1, α = 5.5, Λ = 0, Example
• 150- 9.8.Case Study VII: Calculation and Convergence Analysis of EM Fields of an Inhomogeneous Region Material Object Using the SV Method, Δepslon = 0.4, α = 5.5, Λ = 0 Example
• 151- 9.9.Case Study VIII: Comparison of Homogeneous and Inhomogeneous Region Bistatic Line Widths
• 152- 9.10.Case Study IX: Conservation of Power Analysis
• 153- Appendix 9.A: Interpolation Equations.

"Computational methods for electromagnetic and optical systems" Description:

Read “Computational methods for electromagnetic and optical systems”:

Read “Computational methods for electromagnetic and optical systems” by choosing from the options below.