Description
Electromagnetic wave theory is based on Maxwell’s equations, and electromagnetic boundary-value problems must be solved to understand electromagnetic scattering, propagation, and radiation. Electromagnetic theory finds practical applications in wireless telecommunications and microwave engineering. This book is written as a text for a two-semester graduate course on electromagnetic wave theory. As such, Electromagnetic Wave Theory for Boundary-Value Problems is intended to help students enhance analytic skills by solving pertinent boundary-value problems. In particular, the techniques of Fourier transform, mode matching, and residue calculus are utilized to solve some canonical scattering and radiation problems. Electromagnetic Basics.- Plane Wave Propagation.- Waveguides.- Cavity Resonators and Coupler.- Propagation in Anisotropic Media.- Electromagnetic Theorems.- Wave Scattering.- Green’s Functions: Fundamentals.- Green’s Functions: Applications.- Antenna Radiation.- Radiation Above Half Space.- References.- Coordinates and Vector Formulas.- A.1 Coordinate Relations.- A.2 Differential Operators.- A.3 Vector Formulas.- Bessel Functions.- B.1 Bessel Functions and Modified Bessel Functions.- B.1.1 Limiting Forms for Small and Large Arguments.- B.1.2 Wronskian.- B.1.3 Generating Function.- B.1.4 Hankel Functions.- B.1.5 Recurrence Formulas.- B.1.6 Modified Bessel Functions.- B.2 Spherical Bessel Functions.- Residue Theorem.- Associated Legendre Functions.- Transforms and Series.
