Electrostatics. Stationary and time-varying electromagnetic field. Integral and differential form of Maxwell's equations. Maxwell's equations in the complex domain. Electromagnetic properties of the medium. Boundary conditions. Electromagnetic field potentials in the homogenous media. Painting's theorem. Analytical methods for calculation of the electromagnetic fields - method of separation of variables, application of the complex variable functions (conformal mapping). Numerical methods for calculation of electromagnetic fields - finite different method, finite element method (FEM), finite difference time domain method (FDTD), equivalent electrodes method (EEM), hybrid boundary element method (HBEM). Plane-wave propagation (in vacuum, dielectrics, imperfect conductors, ferrites and layered media). Wave polarization. Propagation of electromagnetic waves. Fresnel's coefficients. TEM, TE and TM guided waves. Electromagnetic radiation and antennas.

Specification for the book of courses

Topological electric circuit analysis. Analysis in time and frequency domain. Analogue circuits with losses. Circuits with distributed parameters. Discrete circuits. Graph theory. Computer aided circuit analysis.

Specification for the book of courses

Electromagnetic properties of media. Spherical, cylindrical and plane electromagnetic waves (in the free space, dielectrics, and stratified media). Wave polarization. Propagation of electromagnetic waves. Fresnel coefficients. TEM, TE and TM guided waves. Electromagnetic radiation and antennas. Current distribution. Hallén's integral equation. Pocklington's integral equation. Radiation pattern. Antenna gain. Radiation resistance. Transmitting and receiving antenna. Antenna arrays.

Specification for the book of courses

Natural and artificial sources of electromagnetic interference. Definitions of EMC, EMI, EMD, EMS. Requirements, regulations and standards in different fields. Limitations and advantages of EMC requirements. Design of circuits and devices in accordance with the EMC requirements. Radiated emissions and conducted emissions. The principles and techniques of design. Selection of configurations and components. Separation, shielding, grounding, filtering. Cables, connectors, contact protection. Protective chokes to limit the current and to reduce the harmonics in order to improve power quality. Electrostatic discharge (ESD) and practical ways of solving problems. Disturbances in power systems and EMC requirements.          

Specification for the book of courses

Phenomenon of static electricity in technological processes. Theory of ignition of flammable mixtures. Theory of static electricity discharges from conducting and dielectric surfaces. High voltage generation. Modeling of industrial and electrostatic filters. Dangers from static electricity during transportation and storage of flammable and explosive materials. Techniques for measuring electrostatic charges, fields and potentials. Protection measures and elimination of static electricity in technological processes.

Specification for the book of courses

Formed individually in accordance with the needs of the scientific or seminar work, its complexity and structure. Lecturer assigns the specific task to a student. Student studies professional and scientific papers dealing with similar topics, makes research in order to find solutions for the assigned task, or to carry out certain experiments in the laboratory. The work also includes computer simulations, statistical analyzes,and participation in writing research papers in the specific scientific field.

Specification for the book of courses

Formed individually in accordance with the needs of the scientific or seminar work, its complexity and structure. Lecturer assigns the specific task to a student. Student studies professional and scientific papers dealing with similar topics, makes research in order to find solutions for the assigned task, or to carry out certain experiments in the laboratory. The work also includes computer simulations, statistical analyzes,and participation in writing research papers in the specific scientific field.

Specification for the book of courses

Electromagnetic field theory. Electromagnetic problems classification in terms of time dependence. Equations of the steady-state electromagnetic field. Analytical methods (image theorem, method of separation of variables, conformal mapping). Approximate and numerical methods (estimation method, Howe’s method, finite difference method, finite element method, boundary element method, method of fictitious sources, equivalent electrodes method). Development and application of own software tools and application of commercial software for the electromagnetic field analysis.

Specification for the book of courses

• Introduction: Electromagnetic field theory. Static, stationary and dynamic EM fields. Mathematical terms: Jacobi matrix, Hessian matrix, local and global extrema of functions. Direct and inverse problems. The term of objective function.• Establishing the main concepts in inverse problem formulation: defining a task, setting a mathematical model of a physical problem, defining an objective function and boundaries, selecting the optimization method, implementing an algorithm, analyzing the obtained solution, correcting, testing and applying the optimal solution.• Classification of optimization methods. Deterministic methods: Simplex method, Gradient descent algorithm, Newton's method. Variable metric methods: Gauss-Newton and Levenberg-Marquardt algorithms.• Stochastic methods. Evolutionary algorithms: Genetic Algorithm and Evolutionary Strategies. Hierarchical Evolutionary Strategies. Swarm Intelligence Optimization: Particle Swarm Optimization and Ant Colony Optimization.• Multi-criteria optimization. The concept of Pareto optimum.• Application of optimization algorithms to the test functions: Rosenbrock and Rastrigin. Comparison of the methods with respect to the computation time and the parameter variation effects on the optimization results. Inverse problems solving in applied electromagnetics (contactless material testing, electrocardiography, radars, magnetic resonance tomography, etc.). Publishing results in a leading journal.

Specification for the book of courses

• Numerical methods in Electromagnetics – introduction.
• Boundary element method (integral equations formulation, boundary elements discretization, sources modeling within the analysis domain, linear and square elements). Examples. • Hybrid boundary element method (theoretical background, system modeling, 2D and 3D problems analysis). Examples. • Modern software for electromagnetic fields analysis.

Specification for the book of courses

Formed individually in accordance with the needs of the scientific or seminar work, its complexity and structure. Lecturer assigns the specific task to a student. Student studies professional and scientific papers dealing with similar topics, makes research in order to find solutions for the assigned task, or to carry out certain experiments in the laboratory. The work also includes computer simulations, statistical analyzes,and participation in writing research papers in the specific scientific field.

Specification for the book of courses