Nonlinear magneto-optical effects, originated from atomic coherence, are studied both theoretically and experimentally in thermal Rb vapor. The analytical description of the fundamental properties of coherent media are based on the simplified three- and four-level systems, and then verified using numerical simulations and experimental measurements. In particular, we analyze the modification of the long-lived atomic coherence due to various physical effects, such as reabsorption of spontaneous radiation, collisions with a buffer gas atoms, etc. We also discuss the importance of the high-order nonlinearities in the description of the polarization rotation for the elliptically polarized light. The effect of self-rotation of the elliptical polarization is also analyzed. Practical applications of nonlinear magneto-optical effects are considered in precision metrology and magnetometery, and for the generation of non-classical states of electromagnetic field.

This thesis deals with measurement method pulsed quantities of electromagnetic field. This thesis was focused on methods, which make use of optic effect. Specially Faraday effect, Pockels effect and magneto-optic Kerr effect. Next it was focused on method makes use of Rogowski coil. At the end was shortly noticed about method makes use of calorimetric sensor. For experimentally realized has been chosen Faraday Magneto-optic Effect. In optic laboratory has been realized absolute methods and different methods making use of Wollaston polarizer on pneumatic optical desk. The main advantage of this method is the capability to measure the high frequency and high current signals. Next in this thesis has been written theory about Rogowski coil. This method has been experimentally realized in laboratory.