Theory and Computation of Electromagnetic Fields in Layered Media.

Author
Okhmatovski, Vladimir [Browse]
Format
Book
Language
English
Εdition
1st ed.
Published/​Created
  • Newark : John Wiley & Sons, Incorporated, 2024.
  • ©2024.
Description
1 online resource (753 pages)

Details

Series
IEEE Press Series on Electromagnetic Wave Theory Series [More in this series]
Source of description
Description based on publisher supplied metadata and other sources.
Contents
  • Cover
  • Title Page
  • Copyright
  • Contents
  • About the Authors
  • Foreword
  • Preface
  • Acknowledgments
  • Acronyms
  • Introduction
  • Chapter 1 Foundations of Electromagnetic Theory
  • 1.1 Maxwell Equations
  • 1.1.1 Time‐Domain Maxwell Equations in Differential Form
  • 1.1.2 Frequency‐Domain Maxwell Equations in Differential Form
  • 1.1.3 Frequency‐Domain Maxwell Equations in Lossy Medium
  • 1.2 Curl-Curl Equations for the Electric and Magnetic Fields
  • 1.3 Boundary Conditions
  • 1.4 Poynting Theorem
  • 1.4.1 Time‐Domain Poynting Theorem and Instantaneous Balance of Power
  • 1.4.2 Frequency‐Domain Poynting Theorem and Average Balance of Energy
  • 1.5 Vector and Scalar Potentials
  • 1.5.1 Magnetic Vector Potential Ae and Electric Scalar Potential e
  • 1.5.2 Electric Vector Potential Am and Magnetic Scalar Potential m
  • 1.6 Quasi‐Electrostatics. Scalar Potential. Capacitance
  • 1.7 Quasi‐Magnetostatics
  • 1.7.1 Governing Equations for Potentials and Fields in Time Domain
  • 1.7.2 Governing Equations for Potentials and Fields in Frequency (Spectral) Domain
  • 1.7.3 Energy Definition of Self‐Inductance, Mutual Inductance, and Resistance
  • 1.7.3.1 Loop Inductance and Resistance
  • 1.7.3.2 Self‐Inductance and Mutual Inductance
  • 1.7.3.3 Resistance
  • 1.7.4 Field‐Based Definition of Self‐Inductance and Mutual Inductance
  • 1.7.4.1 Partial Inductance
  • 1.8 Theory of DC and AC Circuits as a Limiting form of Maxwell Equations
  • 1.8.1 DC Circuit Theory
  • 1.8.2 AC Circuit Theory
  • 1.8.3 Kirchhoff's Laws
  • 1.9 Conclusions
  • Chapter 2 Green's Functions in Free Space
  • 2.1 1D Green's Function
  • 2.2 3D Green's Function Expansion in Cartesian Coordinates
  • 2.3 3D Green's Function in Cylindrical Coordinates
  • 2.4 Physical Interpretation of Conical Waves Forming Sommerfeld Identity
  • 2.5 Integral Field Representation Using Green's Function.
  • 2.6 Field Decomposition into TE‐ and TM‐waves in Cartesian Coordinates
  • 2.7 Free‐space Dyadic Green's Functions of Electric and Magnetic Fields
  • 2.8 Conclusions
  • Chapter 3 Equivalence Principle and Integral Equations in Layered Media
  • 3.1 Quasi‐Electrostatics Reciprocity Relations in Layered Media
  • 3.2 Equivalence Principle for the External Electrostatic Field in Layered Media
  • 3.3 Integral Equation of Electrostatics for Metal Object in Layered Media
  • 3.4 Integral Equation of Electrostatics for Disjoint Metal and Dielectric Objects in Layered Media
  • 3.5 Integral Equation of Electrostatics for Metal and Dielectric Objects Sharing a Common Boundary and Situated in Layered Media
  • 3.6 Integral Equation of Electrostatics for Dielectric Objects Sharing a Common Boundary and Situated in Layered Media
  • 3.7 Integral Equations of Quasi‐Magnetostatics for Wires in Layered Media
  • 3.7.1 Matrix Form of the MoM‐Discretized SVS‐EFIE
  • 3.8 Full‐Wave Reciprocity Relations in Layered Media
  • 3.9 Integral Representations of Electromagnetic Fields via Equivalence Principle
  • 3.9.1 Equivalence Principle for the External Electric Field
  • 3.9.2 Equivalence Principle for the External Magnetic Field
  • 3.9.3 Equivalence Principle for the Internal Fields
  • 3.10 Electric Field Integral Equation (EFIE) for PEC Object in Layered Medium
  • 3.11 Magnetic Field Integral Equation (MFIE) for PEC Object
  • 3.12 Coupled EFIEs for Penetrable Object
  • 3.13 Coupled MFIEs for Penetrable Object
  • 3.14 Muller, PMCHWT, and CFIE Formulations for Penetrable Object
  • 3.15 Volume Integral Equation
  • 3.16 Single‐Source Integral Field Representations and Integral Equations
  • 3.17 Conclusions
  • Chapter 4 Canonical Problems of Vertical and Horizontal Dipoles Radiation in Layered Media
  • 4.1 The Electromagnetics of Dipole Currents in Open Planar Multi‐layered Media.
  • 4.2 Sommerfeld Problem: Vertical Electric Dipole Above Half‐Space
  • 4.3 Vertical Magnetic Dipole in Layered Media
  • 4.3.1 VMD Above Half‐Space
  • 4.3.1.1 Asymptotic Behavior of Electric Vector Potential Spectrum at kρ→∞
  • 4.4 Vertical Magnetic Dipole (VMD) in 3‐Layer Medium
  • 4.4.1 Ray Tracing Solution
  • 4.4.2 The Fields of Vertical Electric and Magnetic Dipoles: Spectral 1D BVP in General Layered Media
  • 4.5 Horizontal Electric Dipole in Layered Media
  • 4.5.1 Arbitrarily Directed Electric Dipole Above PEC Ground
  • 4.5.2 Spatial Boundary Value Problem for HED: Non‐uniqueness of Vector Potential
  • 4.5.3 Spectral Domain Solution for HED in 2‐Layer Medium
  • 4.5.4 HED Spectral Domain Solution: 4‐Layer Medium
  • 4.5.5 The Fields of Horizontal Electric and Magnetic Dipoles: Spectral 1D BVP in General Layered Media
  • 4.6 Integration Paths of Complex Plane kρ
  • 4.6.1 Multi‐valued Sommerfeld Integrands
  • 4.6.2 Integration Along Sommerfeld integration path and Its Modifications
  • 4.6.2.1 Integration Over the Real Axis of kρ
  • 4.6.2.2 Integration on Parametric Path Avoiding Singularities and Landing on Real Axis of kρ
  • 4.7 Conclusions
  • Chapter 5 Computation of Fields Via Integration Along Branch Cuts
  • 5.1 Transformation of SIP to Integrals Along Banks of Branch Cuts
  • 5.2 Parametrization of the Path Along Branch Cut Banks Under 2π‐Convention
  • 5.3 Parametrization of the Path Along Branch Cut Banks Under π/2 Convention
  • 5.4 Surface Waves
  • 5.4.1 Surface (Zenneck) Waves for VED About Half‐Space (Sommerfeld Problem)
  • 5.4.2 Analysis of Zenneck's Pole Location Under 2π Branch Cut Convention
  • 5.4.3 Analysis of Zenneck's Pole Location Under 2π Branch Cut Convention
  • 5.4.4 On Sommerfeld Problem and Existence of Zenneck's Wave
  • 5.4.5 Guided and Leaky Surface Waves
  • 5.5 Conclusions.
  • Chapter 6 Computation of Fields Via Integration Along Steepest Descent Path
  • 6.1 Definition of Integrand and Spherical Wave SDP S1
  • 6.2 Saddle Point on Plane kρ and SDP in Its Vicinity
  • 6.3 Parametrization of Spherical Wave SDP S1
  • 6.4 Crossing Point kρ&
  • equals
  • k1sinθ on the SDP S1
  • 6.5 Case 1: SDP S1 Switches Riemann Sheets After Crossing Branch Cut
  • 6.5.1 Integration Path Circumventing Branch Point as Conical Wave SDP S2
  • 6.5.2 Parametrization of Path S2 Around Branch Point
  • 6.5.3 Analysis of Field Dependence on Radial Coordinate ρ in SDP Integration Approach
  • 6.6 Case 2: SDP S1 Remains on Same Riemann Sheet After Crossing Branch Cut
  • 6.7 Final Remark on Numerical Integration Along SDP
  • 6.8 Reflected Far Field from Saddle Point: Spherical Wave
  • 6.9 Reflected Far Field from Branch Point: Lateral (Conical) Wave
  • 6.9.1 Physical Interpretation of Lateral Wave (see Explanation in Chew () after (2.6.15))
  • 6.10 Conclusions
  • Chapter 7 Computation of Fields Via Angular Spectral Representation
  • 7.1 Transformation of SIP to a Path on Complex Plane of Angles τ
  • 7.2 Reflected Field as Integral on Complex Plane of Angles τ
  • 7.3 Modification of Integration Path on Angles Plane τ to the SDP
  • 7.4 Accounting for Branch Cut and Surface Wave Poles in Integration Along SDP on Plane τ
  • 7.4.1 Case 1: SDP S1 Switches to Different Riemann Sheet After Crossing Branch Cut
  • 7.4.2 Case 2: SDP S1 Remains on Same Riemann Sheet After Crossing Branch Cut
  • 7.5 Asymptotic Evaluation of SDP Integrals for k1R&
  • gg
  • 1
  • 7.5.1 Reflected Far Field: Spherical Wave
  • 7.5.2 Transmitted Field: VED Above Half‐space
  • 7.6 Conclusions
  • Chapter 8 Fields in Spherical Layered Media
  • 8.1 Scalar Green's Function in Spherical Coordinates
  • 8.2 Electromagnetic Field in Terms of Debye Potentials.
  • 8.3 Radial Electric Dipole (RED) in Spherical Layered Media
  • 8.4 Tangential Electric Dipole (TED) in Spherical Layered Media
  • 8.5 Conclusions
  • Chapter 9 Mixed‐Potential Integral Equation
  • 9.1 Mixed‐Potential Integral Equations in Free Space
  • 9.2 MPIE Formulation in Layered Medium
  • 9.3 Reduction of 3D Vector Maxwell's Equations to 1D Scalar Telegraphers Equations
  • 9.4 Telegraphers Equations for Transmission Line Voltages and Currents and Their 1D Green's Functions
  • 9.5 Relations of 3D Dyadic Green's Functions to 1D Transmission Line Green's Functions
  • 9.6 Transmission Line Formulation of Mixed‐potential Green's Function Components in Formulation C
  • 9.7 Closed‐form Expressions for Voltages and Currents in General Layered Medium
  • 9.7.1 Generalized Voltage Reflection Coefficients
  • 9.7.2 Transmission Line Green's Function Vie|h, When z is Within the Source Section (the Case of p&
  • p′)
  • 9.7.3 Transmission Line Green's Function Iie|h, When z is Within the Source Section (the Case of p&
  • 9.7.4 Transmission Line Green's Function Vve|h and Ive|h, When z is Within the Source Section (the Case of p&
  • 9.7.5 Transmission Line Green's Function Ve|h and Ie|h When z is Outside the Source Section and z>
  • z′
  • 9.7.6 Transmission Line Green's Function Ve|h and Ie|h When z is Outside the Source Section and z<
  • 9.8 Conclusions
  • Chapter 10 Discretization of the MPIE with Shape Functions‐based RWG MoM
  • 10.1 MPIE with Augmented Vector Potential Dyadic Green's Function
  • 10.2 Current Expansion Over RWG‐ and Half‐RWG (Ramp) Basis Functions
  • 10.3 Representation of MoM Matrix Elements in Terms of Shape Function Interactions
  • 10.4 Delta‐gap Port Model and Pertinent Discretization
  • 10.5 Conclusions.
  • Chapter 11 Computation of Incident Field from Electric Dipole Situated in the Far Zone.
ISBN
  • 1-119-76322-3
  • 1-119-76320-7
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