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# Physical Principles of Electromagnetic Fields and Antenna Systems

Lecturer: Michel T. Ivrlac

Target Audience: Master EI and MSCE

Language: English

Next Exam: 2022-08-04 13:45 (no responsibility is taken for the correctness of this information)

Additional Information: TUMonline and Moodle

### Lectures/Tutorials in Summer Semester 2022

 Tuesday 09:45 – 11:15 N1135 Friday 13:45 – 14:45 N1090 First lecture: Tuesday, 2022-04-26

### Content

 1. The principles of the classical electromagnetic field theory - Forces, fields and inertial frames - The magnetic field is a relativistic effect - Explicit field formulation (Feynman) - Differential field equations (Maxwell) - When to use quantum electrodynamics - The great conservation laws: charge, energy, and momentum - Uniqueness theorem for the field solutions - The equivalence of energy and mass (Einstein) - Scalar and vector potential - Gauge transformations - The wave equation - Special relativity (Lorentz-covariance, 4-vector notation) - Field invariants - Relativistic effects - Duality transformations - Solution of the field equations - Sinusoidal time dependence and complex fields 2. Dipole Radiation - Hertzian dipole - Radiated power and radiation resistance - Antenna pattern and directivity - Effective area - The reciprocity theorem - Antenna current distribution - Effective antenna length - Long dipoles - Antenna efficiency - Canonical minimum scattering 3. Antenna Array Theory - Element coupling part I (partial-field analysis) - Radiated power - Antenna pattern - Optimum excitation - Directivity and superdirectivity - Antenna array efficiency - Arrays of dipoles - A theory of the array of isotrops 4. Multi-antenna systems - Multiport model - Element coupling part II (full-field analysis) - Thermal equilibrium antenna noise - Non-equilibrium receiver noise - Matching and decoupling - Near-field MIMO Systems (full interaction) - Far-field MIMO Systems (partial interaction) Mathematical preliminaries (reviewed in lecture): - vectors - general coordinates - differential vector operators - vector integration - integral theorems (Gauss, Stokes, Green) - gradient fields and scalar potential - solenoidal fields and vector potential - Lemma of Poincare