Electromagnetic Fields & Waves

At the end of this course, the students should be able to: 1. describe the fundamentals of electrostatics and magneto-static; 2. identify the characteristics of materials and relate them to electric and magnetic fields; 3. demonstrate the theoretical background of Maxwell’s equations; and 4. explain propagation characteristics, polarisation, reflection and other electromagnetic concepts.

Review of Vector Algebra and Calculus: Scalar product and vector product, coordinate systems, gradient, curl, divergence operations. Static electric field: Coulomb’s law and Electric Field. Gauss’ law and Divergence of Electric Flux Density. Work, Potential, Potential Gradient and Energy in Electrostatic Field. Current and Current Density, Conductor, Dielectrics, Boundary Conditions, Capacitance. Laplace’s and Poisson’s Equations. Steady-state magnetic field: Steady Magnetic Field. Biot-Savart Law. Ampere’s Law. Curl of H, Stoke’s Theorem. Magnetic Boundary Conditions. Magnetic Material and Boundary Conditions. Magnetic Flux Density. Vector Magnetic Potential. Inductance. Time varying fields: Faraday’s Law. Displacement Current Density. Maxwell’s Equations in Differential and Integral Form. Retarded Potential. Propagation: Plane Wave in Free Space. Perfect Dielectric. Lossy Dielectrics. Good Conductors. Loss Tangent and Skin Effect. Poynting Theorem. Power Density. Polarization of Plane Wave. Reflection: Reflection from perfect conductors. Refection from perfect dielectrics.