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# ELMN

**Course:** Electromagnetic Field Theory

**Department/Abbreviation:** OPT/ELMN

**Year:** 2020

**Guarantee:** 'RNDr. Ivo Vyšín, CSc.'

**Annotation:** Basic terms, definitions and experimental sources of the Maxwell theory

**Course review:**

Basic terms, definitions and experimental sources of the Maxwell theory
Source quantities of a field, equation of continuity for current,
Basic quantities of a field in vacuum, Gauss law, law of electromagnetic induction
Polarization and magnetization of a matter, basic quantities of a field in a matter medium, generalized Gauss law, Ampere law of the total current
Basic equations of the Maxwell theory
The Maxwell equations in differential and integral forms, formulation of their validity
Matter relations and categorization of matter media
Boundary conditions of the Maxwell equations
Special types of the fields
Electrostatic field, calculation of a field by a scalar potential, multipole expansion of static field, energy of a field
Magnetostatic field of the permanent magnets and its solution by the magnetostatic and vector potentials
Field of stationary currents, Ohm law for a circuit with external source, magnetic field outside the current circuits
Quasistationary field, its formulation and solution by potentials, system of current circuits, oscillation circuit, skin-effect
Non-stationary fields
Laws of conservation of energy and momentum
Solution of a field by retarded scalar and vector potentials
Multipole expansion of a non-stationary field
Solution of a field by polarization and magnetization potentials
Field of an oscillating dipole
Calculation of a field of an oscillating electric dipole with a forced moment
Calculation of a field of Hertz oscillator
Significant directions and zones of a field of an oscillating dipole
Energy balance of a field
Field of magnetic oscillating dipole
Propagation of electromagnetic waves in an indefinite medium
Propagation of waves in a zero-loss medium, homogenous wave equation, monochromatic plane waves and their properties, polarization of waves, energy transmitted by monochromatic waves
Propagation of waves in a loss medium, generalized wave equation, properties of monochromatic plane waves, energy transmitted by waves, true absorption
Propagation of waves in dielectric anisotropic crystals, matter relations and mutual position and orientation of basic vectors of a field, phase and beam velocity of a monochromatic wave, optical axes, polarization of waves in crystals, uniaxial crystals
Propagation of waves in an optically active medium
Behaviour of waves at the interface of two media
Derivation of the law of reflection and refraction and Fresnel equations at the interface of the two zero-loss media from the boundary conditions
Reflectance and transmittance of the interface of the two zero-loss media and their dependence on the angle of incidence
Total reflection at the interface of the two zero-loss media, complex form of the coefficients o reflectance and transmittance, reflected and refracted wave at the total reflection, reflection and efraction at the interface between zero-loss and loss medium
Diffraction of waves at an impenetrable obstacle
Kirchhoff theory of diffraction, Kirchhoff integral equation and its assumptions
Calculation of the amplitude of optical agitation in the case of point source
Fraunhofer diffraction at rectangular and circular slits
Fresnel diffraction at an edge