By Hyo J. Eom
Electromagnetic wave concept is predicated on Maxwell's equations, and electromagnetic boundary-value difficulties needs to be solved to appreciate electromagnetic scattering, propagation, and radiation. Electromagnetic thought unearths useful purposes in instant telecommunications and microwave engineering. This e-book is written as a textual content for a two-semester graduate direction on electromagnetic wave idea. As such, Electromagnetic Wave thought for Boundary-Value difficulties is meant to aid scholars improve analytic talents via fixing pertinent boundary-value difficulties. particularly, the strategies of Fourier rework, mode matching, and residue calculus are applied to resolve a few canonical scattering and radiation problems.
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Extra resources for Electromagnetic Wave Theory for Boundary-Value Problems: An Advanced Course on Analytical Methods
Example text
14. 146) H~(x, z) = Texp(ikxtX- ikztZ) . 147) To determine the unknown coefficients, A, B, R, and T, the four boundary conditions for the field continuities, Hy(x, 0), Hy(x, -d), Ex(x, 0), and Ex(x, -d), must be enforced. Derive A, B, R, and T using the boundary conditions. 4. In circuit analysis, a lossless coaxial line is modeled as a transmission line with the shunt capacitances C and series inductances L. t and €, derive its shunt capacitance and series inductance per unit length. 5. Consider the terminated transmission line, as shown in Fig.
Here, a Green's function, g(r; r'), which is the response to the delta source 8(r- r'), is introduced. 4, respectively. 101) • z V' A(r) X Fig. 6. Vector potential and current density in free space. 6 Static Fields Consider Maxwell's equations when the time variation becomes zero ( :t =-iw -+ 0) and, therefore, the fields become static (k -+ 0). For simplicity, it is assumed that M = 0 and Pm = 0. 9) becomes V' ·] = 0; thus, ] and Pe behave as independent sources to each other. 105) V'·B=O. 106) illustrate that E and H are decoupled, where E is determined by the static charge Pe, while H is determined by the static current J.
Two perfectly conducting radial plates are at the electrostatic potentials