||Number of Pages
||Matthew N. O. Sadiku
||Analytical Techniques in Electromagnetics 1st Edition
Author: Matthew N. O. Sadiku
Description: Analytical Techniques in Electromagnetics is designed for researchers, scientists, and engineers seeking analytical solutions to electromagnetic (EM) problems. The techniques presented provide exact solutions that can be used to validate the accuracy of approximate solutions, offer better insight into actual physical processes, and can be utilized in finding precise quantities of interest over a wide range of parameter values. Beginning with a review of basic EMs, the text: • Describes the use of the separation of variables technique in Laplace, heat, and wave equations, covering rectangular, cylindrical, and spherical coordinate systems • Explains the series expansion method, providing the solution of Poissons equation in a cube and in a cylinder, and scattering by cylinders and spheres, as examples • Addresses the conformal transformation technique, offering a visual display of conformal mapping and a brief introduction to the Schwarz–Christoffel transformation • Employs worked-out problems to demonstrate various applications of Fourier sine and cosine, two-sided Fourier, Laplace, Hankel, and Mellin transform techniques • Discusses perturbation techniques, supplying examples of perturbed results degenerating to their unperturbed versions as the perturbation parameters tend to zero Analytical Techniques in Electromagnetics maintains a balanced view of techniques for solving EM problems, refusing to overemphasize the importance of analytical methods at the expense of numerical techniques. Carefully selected topics give readers an appreciation of the kinds of EM problems that can be solved exactly.
Table of Content: Review of Electromagnetics Maxwells Equations Constitutive Relations Boundary Conditions Power and Energy Vector and Scalar Potentials Time Harmonic Fields Wave Equations Diffusion Equation Classification of EM Problems References Problems Separation of Variables Conditions for Complete Separability Rectangular Coordinates Cylindrical Coordinates Spherical Coordinates Conclusion References Problems Series Expansion Method Generalized Fourier Series Poissons Equation in a Cube Poissons Equation in a Cylinder Strip Transmission Line Scattering by a Conducting Cylinder Scattering by a Dielectric Sphere Conclusion References Problems Conformal Transformation Complex Variables Functions of a Complex Variable Derivative of a Complex Function Conformal Mapping Complex Electric Potential Coplanar Strips at Fixed Potentials Evaluation of Capacitance per Unit Length The Schwarz–Christoffel Transformation Strip Lines and Microstrip Lines Strip with Finite Ground Plane Strip Line with Elliptical Center Conductor Conclusion References Problems Transform Methods The Fourier Transform The Fourier Sine and Cosine Transforms The Hankel Transform The Mellin Transform Laplace Transform Conclusion References Problems Perturbation Methods Introduction The Underlying Technique Electromagnetic Cavities Material Perturbations Conclusion References Problems