1. Least Action Principle in electromagnetics 2 -- 1.1. Hamilton principle 2 -- 1.2. Newton equation of motion from Lagrangian 5 -- 1.3. Noether’s theorem and conservation laws 7 -- 1.4. Equation of continuity from Lagrangian 10 -- 1.5. Lorentz force from Gauge Invariance 14 -- 2. Fundamental Equations of Engineering Electromagnetics 17 -- 2.1. Derivation of two canonical Maxwell equation 17 -- 2.2. Derivation of two dynamical Maxwell equation 18 -- 2.3. Integral form of Maxwell equations, continuity equations and Lorentz force 21 -- 2.4. Phasor form of Maxwell equations 22 -- 2.4. Continuity (interface) conditions 24 -- 2.5. Poynting theorem 25 -- 3. Variational methods in electromagnetics 40 -- 3.1. Analytical methods 40 -- 3.2. Capacity of insulated charged sphere 40 -- 3.3. Spherical Grounding resistance 42 -- 3.4. Variational basis for numerical methods 43 -- 4. Outline of numerical methods 47 -- 4.1. Variational basis for numerical methods 50 -- 4.2. The Finite Element Method (FEM) 51 -- 4.2.1 Basic concepts of FEM – One dimensional FEM 52 -- 4.3.2 Linear and quadratic elements 74 -- 4.3.2 Quadratic elements 75 -- 4.3.4 Numerical solution of integral equations over unknown sources 76 -- 5. Wire Configurations - Frequency Domain Analysis 79 -- 5.1. Single wire in a presence of a lossy half-space 79 -- 5.1.1 Horizontal dipole above a homogeneous lossy half-space 79 -- 5.1.2 Horizontal dipole buried in a homogeneous lossy half-space 84 -- 5.2 Horizontal dipole above a multi-layered lossy half-space 88 -- 5.2.1 Integral equation formulation 88 -- 5.2.2 Radiated field 93 -- 5.2.3 Numerical results 95 -- 5.3 Wire Array above a multilayer 114 -- 5.3.1. Formulation 116 -- 5.3.2 Numerical procedures 118 -- 5.3.3 Computational examples 120 -- 5.4. Wires of arbitrary shape radiating over a layered medium 137 -- 5.4.1. Curved single wire in free space 139 -- 5.4.2. Curved single wire in a presence of a lossy half-space 140 -- 5.4.3. Multiple curved wires 142 -- 5.4.5. Electromagnetic field coupling to arbitrarily shaped aboveground wires 151 -- 5.4.5. Buried wires of arbitrary shape 161 -- 5.5. Complex Power of Arbitrarily Shaped Thin Wire Radiating above a Lossy Half-space 168 -- 5.5.1. Theoretical background 169 -- 5.5.2. Numerical results 172 -- 6. Wire Configurations - Time Domain Analysis 185 -- 6.1 Single Wire above a Lossy Ground 186 -- 6.1.1. Case of perfectly conducting ground (PEC) gound and dielectric half-space 190 -- 6.1.2 Modified reflection coefficient for the case of an imperfect ground 191 -- 6.2 Numerical solution of Hallen equation via Galerkin-Bubnov Indirect Boundary Element Method (GB-IBEM) 199 -- 6.2.1 Computational examples 202 -- 6.3 Application to Ground penetrating Radar (GPR) 205 -- 6. 3.1 Transient Field due to Dipole Radiation Reflected from the Air-Earth Interface 207 -- 6. 3.2 Transient Field Transmitted into a Lossy Ground due to Dipole Radiation 214 -- 6.4 Simplified Calculation of Specific Absorption (SA) in Human Tissue 221 -- 6.4.1 Calculation of specific absorption (SA) 222 -- 6.4.2 Numerical results 223 -- 6.5 Time Domain Energy Measures 229 -- 6.6 Time Domain Analysis of Multiple Straight Wires above a Half-space by means of Various Time Domain Measures 234 -- 6.6.1 Theoretical background 235 -- 6.6.2 Numerical results 237 -- 7. Bioelectromagnetics – Exposure of Humans in GHz Frequency Range 280 -- 7.1 Assessment of Sab in a planar single layer tissue 280 -- 7.1.1 Analysis of Dipole Antenna in Front of Planar Interface 282 -- 7.1.2. Calculation of Absorbed Power Density 285 -- 7.1.3 Computational Examples 285 -- 7.2. Assessment of Transmitted Power Density in a Single Layer Tissue 289 -- 7.2.1 Formulation 290 -- 7.2.2 Results for current distribution 294 -- 8. Multiphysics Phenomena 330 -- 8.1. Electromagnetic-Thermal modeling of the Human Exposure to HF Radiation 330 -- 8.1.1. Electromagnetic Dosimetry 330 -- 8.1.2. Thermal Dosimetry 332 -- 8.1.3. Computational examples 336 -- 8.2. Magnetohydrodynamics (MHD) Models for Plasma Confinement 337 -- 8.2.1. Grad Shafranov Equation 338 -- 8.2.2. Transport Phenomena Modeling 349 -- 8.3. Schrodinger Equation 358 -- 8.3.1 Derivation of Schrr̲dinger equation 359 -- 8.3.2 Analytical solution of Schrr̲dinger equation 360 -- 8.3.3 FDM solution of Schrr̲dinger equation 361 -- 8.3.4 FEM solution of Schrr̲dinger equation 362 -- 8.3.5 Neural netwok approach to the solution of Schrr̲dinger equation 364 -- 9. Methods for stochastic analysis 372 -- 9.1. Uncertainty quantification framework 373 -- 9.1.1. Uncertainty quantification (UQ) of model input parameters 373 -- 9.1.2. Uncertainty propagation (UP) 374 -- 9.1.3. Monte Carlo method 375 -- 9.2. Stochastic collocation method 376 -- 9.2.1. Computation of stochastic moments 377 -- 9.2.2. Interpolation approaches 378 -- 9.2.3. Collocation points selection 379 -- 9.2.4. Multidimensional stochastic problems 379 -- 9.3. Sensitivity analysis 383 -- 9.3.1. “One-at-a-time” (OAT) approach 384 -- 9.3.2. ANalysis Of VAriance (ANOVA) based method 384 -- 10. Stochastic-deterministic electromagnetic dosimetry 389 -- 10.1. Internal stochastic dosimetry for a simple body model exposed to low frequency field 390 -- 10.2. Internal stochastic dosimetry for a simple body model exposed to electromagnetic pulse 393 -- 10.3. Internal stochastic dosimetry for a realistic three-compartment human head exposed to high frequency plane wave 396 -- 10.4. Incident field stochastic dosimetry for base station antenna radiation 401 -- 11. Stochastic-deterministic thermal dosimetry 411 -- 11.1. Stochastic sensitivity analysis of bioheat transfer equation 412 -- 11.2. Stochastic thermal dosimetry for homogeneous human brain 414 -- 11.3. Stochastic thermal dosimetry for three-compartment human head 421 -- 11.4. Stochastic thermal dosimetry below 6 GHz for 5G mobile communication systems 424 -- 12. Stochastic-deterministic modelling in biomedical applications of electromagnetic fields430 -- 12.1. Transcranial Magnetic Stimulation 430 -- 12.2. Transcranial Electric Stimulation 435 -- 12.2.1. Cylinder representation of human head 436 -- 12.2.2. A 3-compartment human head model 438 -- 12.2.3. A 9-compartment human head model 441 -- 12.3. Neuron’s action potential dynamics 447 -- 12.4. Radiation efficiency of implantable antennas 453 -- 13. Stochastic-deterministic modelling of wire configurations in frequency and time domain 1 -- 13.1. Ground penetrating radar 1 -- 13.1.1. The transient current induced along the GPR antenna 2 -- 13.1.2. The transient field transmitted into a lossy soil 5 -- 13.2. Grounding systems 10 -- 13.2.1. Test case #1: soil and lighting pulse parameters are random variables 12 -- 13.2.2. Test case #2: soil and electrode parameters are random variables 13 -- 13.2.3. Test case #3: soil, electrode and lighting pulse parameters are random variables 14 -- 13.3. Air-traffic control systems 17 -- 13.3.1. Runway covered with snow 19 -- 13.3.2. Runway covered with vegetation 21 -- 14. A note on stochastic modelling of plasma physics phenomena 488 -- 14.1. Tokamak current diffusion equation 488 -- --.