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Computational methods for electromagnetic and optical systems

Author: John M Jarem; Partha P Banerjee
Publisher: Boca Raton, FL : CRC Press, ©2011.
Series: Optical science and engineering (CRC Press)
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats
Summary:
"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.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Jarem, John M., 1948-
Computational methods for electromagnetic and optical systems.
Boca Raton, FL : CRC Press, ©2011
(DLC) 2010045338
(OCoLC)262430646
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John M Jarem; Partha P Banerjee
ISBN: 1439804222 9781439804223 9781439882269 1439882266
OCLC Number: 880575189
Description: 1 online resource (xv, 407 pages) : illustrations.
Contents: Machine generated contents note: 1.1. Introduction --
1.2. Fourier Series and Its Properties --
1.3. Fourier Transform --
1.4. Hankel Transform --
1.5. Discrete Fourier Transform --
1.6. Review of Eigenanalysis --
Problems --
References --
2.1. Introduction --
2.2. Transfer Function for Propagation --
2.3. Split-Step Beam Propagation Method --
2.4. Beam Propagation in Linear Media --
2.4.1. Linear Free-Space Beam Propagation --
2.4.2. Propagation of Gaussian Beam through Graded Index Medium --
2.5. Beam Propagation through Diffraction Gratings: Acoustooptic Diffraction --
2.6. Beam Propagation in Kerr-Type Nonlinear Media --
2.6.1. Nonlinear Schrodinger Equation --
2.6.2. Simulation of Self-Focusing Using Adaptive Fourier and Fourier-Hankel Transform Methods --
2.7. Beam Propagation and Coupling in Photorefractive Media --
2.7.1. Basic Photorefractive Physics --
2.7.2. Induced Transmission Gratings --
2.7.3. Induced Reflection Gratings and Bidirectional Beam Propagation Method --
2.8.z-Scan Method --
2.8.1. Model for Beam Propagation through PR Lithium Niobate --
2.8.2.z-Scan: Analytical Results, Simulations, and Sample Experiments --
Problems --
References --
3.1. Introduction --
3.2. Maxwell's Equations --
3.3. Constitutive Relations: Frequency Dependence and Chirality --
3.3.1. Constitutive Relations and Frequency Dependence --
3.3.2. Constitutive Relations for Chiral Media --
3.4. Plane Wave Propagation through Linear Homogeneous Isotropic Media --
3.4.1. Dispersive Media --
3.4.2. Chiral Media --
3.5. Power Flow, Stored Energy, Energy Velocity, Group Velocity, and Phase Velocity --
3.6. Metamaterials and Negative Index Media --
3.6.1. Beam Propagation in NIMs --
3.7. Propagation through Photonic Band Gap Structures: The Transfer Matrix Method --
3.7.1. Periodic PIM-NIM Structures --
3.7.2. EM Propagn of RCWA and the Complex Poynting Theorem to E-Mode Planar Diffraction Grating Analysis --
5.3.1.E-Mode RCWA Formulation --
5.3.2.Complex Poynting Theorem --
5.3.2.1. Sample Calculation of PuWE --
5.3.2.2. Other Poynting Theorem Integrals --
5.3.2.3. Simplification of Results and Normalization --
5.3.3. Numerical Results --
5.4. Multilayer Analysis of E-Mode Diffraction Gratings --
5.4.1.E-Mode Formulation --
5.4.2. Numerical Results --
5.5. Crossed Diffraction Grating --
5.5.1. Crossed Diffraction Grating Formulation --
5.5.2. Numerical Results --
Problems --
References --
6.1. Introduction to Photorefractive Materials --
6.2. Dynamic Nonlinear Model for Diffusion-Controlled PR Materials --
6.3. Approximate Analysis --
6.3.1. Numerical Algorithm --
6.3.2. TE Numerical Simulation Results --
6.3.3. TM Numerical Simulation Results --
6.3.4. Discussion of Results from Approximate Analysis --
6.4. Exact Analysis --
6.4.1. Finite Difference Kukhtarev Analysis --
6.4.2. TM Numerical Simulation Results --
6.5. Reflection Gratings --
6.5.1. RCWA Optical Field Analysis --
6.5.2. Material Analysis --
6.5.3. Numerical Results --
6.6. Conclusion --
Problems --
References --
7.1. Introduction --
7.2. Rigorous Coupled Wave Analysis Circular Cylindrical Systems --
7.3. Rigorous Coupled Wave Analysis Mathematical Formulation --
7.3.1. Introduction --
7.3.2. Basic Equations --
7.3.3. Numerical Results --
7.4. Anisotropic Cylindrical Scattering --
7.4.1. Introduction --
7.4.2. State Variable Analysis --
7.4.3. Numerical Results --
7.5. Spherical Inhomogeneous Analysis --
7.5.1. Introduction --
7.5.2. Rigorous Coupled Wave Theory Formulation --
7.5.3. Numerical Results --
Problems --
References --
8.1. Introduction --
8.2. RCWA Bipolar Coordinate Formulation --
8.2.1. Bipolar and Eccentric Circular Cylindrical, Scattering Region Coordinate Description --
8.2.2. Bipolar RCWA State Variable Formulation --
8.2.3. Second-Order Differential Matrix Formulation --
8.2.4. Thin-Layer, Bipolar Coordinate Eigenfunction Solution --
8.3. Bessel Function Solutions in Homogeneous Regions of Scattering System --
8.4. Thin-Layer SV Solution in the Inhomogeneous Region of the Scattering System --
8.5. Matching of EM Boundary Conditions at Interior-Exterior Interfaces of the Scattering System --
8.5.1. Bipolar and Circular Cylindrical Coordinate Relations --
8.5.2. Details of Region 2 (Inhomogenous Region) Region 3 (Homogenous Interior Region) EM Boundary Value Matching --
8.5.3. Region 0 (Homogenous Exterior Region) Region 2 (Inhomogenous Region) EM Boundary Value Matching --
8.5.4. Details of Layer-to-Layer EM Boundary Value Matching in the Inhomogeneous Region --
8.5.5. Inhomogeneous Region Ladder-Matrix --
8.6. Region 1 Region 3 Bessel-Fourier Coefficient Transfer Matrix --
8.7. Overall System Matrix --
8.8. Alternate Forms of the Bessel-Fourier Coefficient Transfer Matrix --
8.9. Bistatic Scattering Width --
8.10. Validation of Numerical Results --
8.11. Numerical Results, Examples of Scattering from Homogeneous and Inhomogeneous Material Objects --
8.12. Error and Convergence Analysis --
8.13. Summary, Conclusions, and Future Work --
Problems --
Appendix 8.A --
Appendix 8.B --
References --
9.1. Introduction --
9.2. Case Study I: Fourier Series Expansion, Eigenvalue and Eigenfunction Analysis, and Transfer Matrix Analysis --
9.3. Case Study II: Comparison of KPE BA, BC Validation Methods, and SV Methods for Relatively Small Diameter Scattering Objects --
9.4. Case Study III: Comparison of BA, BC, and SV Methods for Gradually, Stepped-Up, Index Profile Scattering Objects --
9.5. Case Study IV: Comparison of BA, BC, and SV Methods for Mismatched, Index Profile, Scattering Objects --
9.6. Case Study V: Comparison of BA, BC, and SV Methods for Gradually, Stepped-Up, Index Scattering Objects with High Index Core --
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 --
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 --
9.9. Case Study VIII: Comparison of Homogeneous and Inhomogeneous Region Bistatic Line Widths --
9.10. Case Study IX: Conservation of Power Analysis --
Appendix 9.A: Interpolation Equations.
Series Title: Optical science and engineering (CRC Press)
Responsibility: John M. Jarem, Partha P. Banerjee.

Abstract:

"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.

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Induced Reflection Gratings and Bidirectional Beam Propagation Method -- 2.8.z-Scan Method -- 2.8.1. Model for Beam Propagation through PR Lithium Niobate -- 2.8.2.z-Scan: Analytical Results, Simulations, and Sample Experiments -- Problems -- References -- 3.1. Introduction -- 3.2. Maxwell's Equations -- 3.3. Constitutive Relations: Frequency Dependence and Chirality -- 3.3.1. Constitutive Relations and Frequency Dependence -- 3.3.2. Constitutive Relations for Chiral Media -- 3.4. Plane Wave Propagation through Linear Homogeneous Isotropic Media -- 3.4.1. Dispersive Media -- 3.4.2. Chiral Media -- 3.5. Power Flow, Stored Energy, Energy Velocity, Group Velocity, and Phase Velocity -- 3.6. Metamaterials and Negative Index Media -- 3.6.1. Beam Propagation in NIMs -- 3.7. Propagation through Photonic Band Gap Structures: The Transfer Matrix Method -- 3.7.1. Periodic PIM-NIM Structures -- 3.7.2. EM Propagn of RCWA and the Complex Poynting Theorem to E-Mode Planar Diffraction Grating Analysis -- 5.3.1.E-Mode RCWA Formulation -- 5.3.2.Complex Poynting Theorem -- 5.3.2.1. Sample Calculation of PuWE -- 5.3.2.2. Other Poynting Theorem Integrals -- 5.3.2.3. Simplification of Results and Normalization -- 5.3.3. Numerical Results -- 5.4. Multilayer Analysis of E-Mode Diffraction Gratings -- 5.4.1.E-Mode Formulation -- 5.4.2. Numerical Results -- 5.5. Crossed Diffraction Grating -- 5.5.1. Crossed Diffraction Grating Formulation -- 5.5.2. Numerical Results -- Problems -- References -- 6.1. Introduction to Photorefractive Materials -- 6.2. Dynamic Nonlinear Model for Diffusion-Controlled PR Materials -- 6.3. Approximate Analysis -- 6.3.1. Numerical Algorithm -- 6.3.2. TE Numerical Simulation Results -- 6.3.3. TM Numerical Simulation Results -- 6.3.4. Discussion of Results from Approximate Analysis -- 6.4. Exact Analysis -- 6.4.1. Finite Difference Kukhtarev Analysis -- 6.4.2. 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Bistatic Scattering Width -- 8.10. Validation of Numerical Results -- 8.11. Numerical Results, Examples of Scattering from Homogeneous and Inhomogeneous Material Objects -- 8.12. Error and Convergence Analysis -- 8.13. Summary, Conclusions, and Future Work -- Problems -- Appendix 8.A -- Appendix 8.B -- References -- 9.1. Introduction -- 9.2. Case Study I: Fourier Series Expansion, Eigenvalue and Eigenfunction Analysis, and Transfer Matrix Analysis -- 9.3. Case Study II: Comparison of KPE BA, BC Validation Methods, and SV Methods for Relatively Small Diameter Scattering Objects -- 9.4. Case Study III: Comparison of BA, BC, and SV Methods for Gradually, Stepped-Up, Index Profile Scattering Objects -- 9.5. Case Study IV: Comparison of BA, BC, and SV Methods for Mismatched, Index Profile, Scattering Objects -- 9.6. Case Study V: Comparison of BA, BC, and SV Methods for Gradually, Stepped-Up, Index Scattering Objects with High Index Core -- 9.7. 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