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Computational methods for electromag...

Jarem, John M., (1948-)

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Computational methods for electromagnetic and optical systems /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Computational methods for electromagnetic and optical systems // John M. Jarem, Partha P. Banerjee.
Author:	Jarem, John M.,
other author:	Banerjee, Partha P.
Published:	Boca Raton, FL :CRC Press, : c2011.,
Description:	xv, 416 p. :ill. ;27 cm.
[NT 15003449]:	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 Propagation in Complex Structures -- Problems -- References -- 4.1.Introduction -- 4.2.State Variable Analysis of an Isotropic Layer -- 4.2.1.Introduction -- 4.2.2.Analysis -- 4.2.3.Complex Poynting Theorem -- 4.2.4.State Variable Analysis of an Isotropic Layer in Free Space -- 4.2.5.State Variable Analysis of a Radar Absorbing Layer -- 4.2.6.State Variable Analysis of a Source in Isotropic Layered Media -- 4.3.State Variable Analysis of an Anisotropic Layer -- 4.3.1.Introduction -- 4.3.2.Basic Equations -- 4.3.3.Numerical Results -- 4.4.One-Dimensional k-Space State Variable Solution -- 4.4.1.Introduction -- 4.4.2.k-Space Formulation -- 4.4.3.Ground Plane Slot Waveguide System -- 4.4.4.Ground Plane Slot Waveguide System, Numerical Results -- Problems -- References -- 5.1.Introduction -- 5.2.H-Mode Planar Diffraction Grating Analysis -- 5.2.1.Full-Field Formulation -- 5.2.2.Differential Equation Method -- 5.2.3.Numerical Results -- 5.2.4.Diffraction Grating Mirror -- 5.3.Application 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 --
[NT 15003449]:	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 --
[NT 15003449]:	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, �epsilon = 1, 帢 = 5.5, � = 0, Example -- 9.8.Case Study VII: Calculation and Convergence Analysis of EM Fields of an Inhomogeneous Region Material Object Using the SV Method, �epslon = 0.4, 帢 = 5.5, � = 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.
Subject:	Electromagnetism - Mathematics. -
ISBN:	9781439804223 (hbk.) :

Computational methods for electromagnetic and optical systems /
Jarem, John M.,1948-

Computational methods for electromagnetic and optical systems /John M. Jarem, Partha P. Banerjee. - 2nd ed. - Boca Raton, FL :CRC Press,c2011. - xv, 416 p. :ill. ;27 cm. - Optical science and engineering ;149. - Optical science and engineering (Boca Raton, Fla.) ;125..

Includes bibliographical references and index.

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 Propagation in Complex Structures -- Problems -- References -- 4.1.Introduction -- 4.2.State Variable Analysis of an Isotropic Layer -- 4.2.1.Introduction -- 4.2.2.Analysis -- 4.2.3.Complex Poynting Theorem -- 4.2.4.State Variable Analysis of an Isotropic Layer in Free Space -- 4.2.5.State Variable Analysis of a Radar Absorbing Layer -- 4.2.6.State Variable Analysis of a Source in Isotropic Layered Media -- 4.3.State Variable Analysis of an Anisotropic Layer -- 4.3.1.Introduction -- 4.3.2.Basic Equations -- 4.3.3.Numerical Results -- 4.4.One-Dimensional k-Space State Variable Solution -- 4.4.1.Introduction -- 4.4.2.k-Space Formulation -- 4.4.3.Ground Plane Slot Waveguide System -- 4.4.4.Ground Plane Slot Waveguide System, Numerical Results -- Problems -- References -- 5.1.Introduction -- 5.2.H-Mode Planar Diffraction Grating Analysis -- 5.2.1.Full-Field Formulation -- 5.2.2.Differential Equation Method -- 5.2.3.Numerical Results -- 5.2.4.Diffraction Grating Mirror -- 5.3.Application 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 --

"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.

ISBN: 9781439804223 (hbk.) :UK76.99

LCCN: 2010045338Subjects--Topical Terms:

546287
Electromagnetism
--Mathematics.

LC Class. No.: QC760 / .J47 2011

Dewey Class. No.: 537.01/51

Computational methods for electromagnetic and optical systems /
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245 1 0 $a Computational methods for electromagnetic and optical systems / $c John M. Jarem, Partha P. Banerjee.
250 $a 2nd ed.
260 # $a Boca Raton, FL : $b CRC Press, $c c2011.
300 $a xv, 416 p. : $b ill. ; $c 27 cm.
490 1 $a Optical science and engineering ; $v 149
504 $a Includes bibliographical references and index.
505 0 # $a 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 Propagation in Complex Structures -- Problems -- References -- 4.1.Introduction -- 4.2.State Variable Analysis of an Isotropic Layer -- 4.2.1.Introduction -- 4.2.2.Analysis -- 4.2.3.Complex Poynting Theorem -- 4.2.4.State Variable Analysis of an Isotropic Layer in Free Space -- 4.2.5.State Variable Analysis of a Radar Absorbing Layer -- 4.2.6.State Variable Analysis of a Source in Isotropic Layered Media -- 4.3.State Variable Analysis of an Anisotropic Layer -- 4.3.1.Introduction -- 4.3.2.Basic Equations -- 4.3.3.Numerical Results -- 4.4.One-Dimensional k-Space State Variable Solution -- 4.4.1.Introduction -- 4.4.2.k-Space Formulation -- 4.4.3.Ground Plane Slot Waveguide System -- 4.4.4.Ground Plane Slot Waveguide System, Numerical Results -- Problems -- References -- 5.1.Introduction -- 5.2.H-Mode Planar Diffraction Grating Analysis -- 5.2.1.Full-Field Formulation -- 5.2.2.Differential Equation Method -- 5.2.3.Numerical Results -- 5.2.4.Diffraction Grating Mirror -- 5.3.Application 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 --
505 0 # $a 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 --
505 0 # $a 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, �epsilon = 1, 帢 = 5.5, � = 0, Example -- 9.8.Case Study VII: Calculation and Convergence Analysis of EM Fields of an Inhomogeneous Region Material Object Using the SV Method, �epslon = 0.4, 帢 = 5.5, � = 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.
520 # $a "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.
650 # 0 $a Electromagnetism $x Mathematics. $3 546287
650 # 0 $a Electromagnetism $x Industrial applications. $3 576929
650 # 0 $a Optics $x Mathematics. $3 904835
650 # 0 $a Optics $x Industrial applications. $3 710742
700 1 # $a Banerjee, Partha P. $3 677830
830 0 $a Optical science and engineering (Boca Raton, Fla.) ; $v 125. $3 1235475