ECG 730 Advanced Electromagnetics I CATALOG DATA Conformal transformation with application to static field problems in engineering; wave harmonics with engineering applications; theorems of waves and media; special theory of relativity with engineering application; wave propagation in various medias; engineering application of scattering PREREQUISITE Prerequisites: EE 330 or consent of instructor. TEXTBOOK(s) Akira Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering, Prentice Hall, 1991. Reference: 1. F. Harrington, Time-Harmonic Electromagnetic Fields, McGraw Hill, 1961. 2. Jackson, Classical Electrodynamics, 2 ed., Wiley, 1975. 3. William R. Smythe, Static and Dynamic Electricity, 3rd ed., Hemisphere Publ. 1989. 4. A. Kong, Electromagnetic Wave Theory, John Wiley and Sons, 1986. 5. Ramo, J.R. Whinnery, and T.Van Duzer, Fields and Waves in Communication Electronics, 3 rd ed., Wiley, 1994. 6. Constantine A. Balanis, Advanced Engineering Electromagnetics, Wiley, 1989 COORDINATOR (pls. list all faculty who have/would instruct this course) Professor Robert A. Schill, Jr. PREREQUISITE BY TOPIC 1. Engineering Electromagnetics I TOPICS* Fundamental Field Equations Maxwell Eqs. and general Lorentz-covariant constitutive relations Classification of mediums and conservation theorems Transform Domains Linear dispersive waves, group velocity, dispersion diagrams, polarization Vector and scalar potentials, Hertz vectors Boundary conditions (moving boundaries) – Galilean relativity Waves in Homogeneous Media (Dispersive and Anisotropic) kDB system and coordinate driven system Dielectric material and polarizability Dispersion Debye relaxation eq. Interfacial polarization and mixing formula Anisotropic and bianisotropic media and wave propagation in complex mediums Waves in Inhomogeneous Media Layered media Complex waves Trapped surface waves Zenneck waves and plasmons Waves in inhomogeneous media, WKB method Bounded Media Uniform electromagnetic waveguides Eigenfunctions and eigenvalues Application to waves in spherical structures Generalized spherical harmonics Link to cylindrical harmonic functions Brief discussion of waves in cylindrical structures Brief discussion of generalized cylindrical harmonics Scalar Green’s Function Excitation by electric and magnetic dipoles in homogeneous media Excitation in closed regions Combination with Fourier transform method and eigenfunction technique Application Scattering Selected topics on scattering from cylinders, spheres, plane, and/or wedges Introduction to special relativity COURSE OUTCOMES Upon completion of the course, students will be able to: Approach and solve wave propagation in complex medium with moving or stationary boundaries Solve wave equation in Cartesian, cylindrical, and spherical coordinates based on the standard wave functions described in each coordinate system Address the wave solution of complex sources in various mediums Study scattering from simple select geometry such as a sphere, cylinder, plane, or wedge COMPUTER USAGE None GRADING Homework assignments; One midterm; One final exam. COURSE PREPARER AND DATE OF PREPARATION Robert A. Schill, Jr., Last update date November 14, 2012