Surface Impedance Boundary Conditions A Comprehensive Approach

Classical Surface Impedance Boundary Conditions
Skin Effect Approximation
SIBCs of the Order of Leontovich’s Approximation
High-Order SIBCs
Rytov’s Approach
References

General Perturbation Approach to Derivation of Surface
Impedance Boundary Conditions
Local Coordinates
Perturbation Technique
Tangential Components
Normal Components
Normal Derivatives
Components of the Curl Operator
Surface Impedance ‘‘Toolbox’’ Concept
Numerical Example
Appendix

SIBCs in Terms of Various Formalisms
Basic Equations
Electric Field–Magnetic Field Formalism
Magnetic Scalar Potential Formalism
Magnetic Vector Potential Formalism
Common Representation of Various SIBCs Using a Surface Impedance Function
Surface Impedance near Corners and Edges

Calculation of the Electromagnetic Field Characteristics in the Conductor’s Skin Layer
Distributions across the Skin Layer
Resistance and Internal Inductance
Forces Acting on the Conductor

Derivation of SIBCs for Nonlinear and Nonhomogeneous Problems
Coupled Electromagnetic-Thermal Problems
Magnetic Materials
Nonhomogeneous Conductors

Implementation of SIBCs for the Boundary Integral Equation Method: Low-Frequency Problems
Two-Dimensional Problems
Three-Dimensional Problems
Properties of the Surface Impedance Function
Boundary Element Formulations for Two- and Three-Dimensional Problems in Invariant Form
Numerical Examples
Quasi-Three-Dimensional Integro-Differential Formulation for Symmetric Systems of Conductors

Implementation of SIBCs for the Boundary Integral Equation Method: High-Frequency Problems
Integral Representations of High-Frequency Electromagnetic Fields
SIBCs for Lossy Dielectrics
Direct Implementation of SIBCs into the Surface Integral Equations
Implementation Using the Perturbation Technique
Numerical Example
Appendix

Implementation of SIBCs for Volume Discretization Methods
Statement of the Problem
Finite-Difference Time-Domain Method
Finite Integration Technique
Finite-Element Method
Appendix

Application and Experimental Validation of the SIBC Concept
Selection of the Surface Impedance Boundary Conditions for a Given Problem
Experimental Validation of SIBCs

Appendix A: Review of Numerical Methods

Index

Biography

Sergey Yuferev was born in St. Petersburg, Russia, in 1964. He received his MSc in computational fluid mechanics from St. Petersburg Technical University, St. Petersburg, in 1987, and his Ph.D. in computational electromagnetic from the A.F. Ioffe Institute, St. Petersburg, in 1992. From 1987 to 1998, he worked at with the Dense Plasma Dynamics Laboratory, A.F. Ioffe Institute. From 1999 to 2000, he was a visiting associate professor at the University of Akron, Akron, Ohio. Since 2000, he has been with the Nokia Corporation, Tampere, Finland. His current research interests include numerical and analytical methods of computational electromagnetics and their application to electromagnetic compatibility and electromagnetic interference problems of mobile phones.

Nathan Ida is currently a distinguished professor of electrical and computer engineering at the University of Akron, Akron, Ohio. He teaches electromagnetics, antenna theory, electromagnetic compatibility, sensing and actuation, and computational methods and algorithms. His current research interests include numerical modeling of electromagnetic fields, electromagnetic wave propagation, theoretical issues in computation, and nondestructive testing of materials at low and microwave frequencies as well as in communications, especially, in low-power remote control and wireless sensing. He has published extensively on electromagnetic field computation, parallel and vector algorithms and computation, nondestructive testing of materials, surface impedance boundary conditions, and other topics. He is the author of three books and co-author of a fourth. Dr. Ida is a fellow of the IEEE and the American Society of Nondestructive Testing.