Intense investigations of such actual problems as phase conjugation, laser radiation-free electron interaction, laser radiation-resonant molecular medium interaction, theory of an optical communication channel the role of quantum fluctuations in non-linear parametric systems, superliquidity of Fermi gases, and the theory of superconductors are performed in our department of theoretical physics.

The polarization theory of phase conjugation (based on non-generate four-wave mixing) was developed. The theory based on the irreducible tensorial formalism shows, that phase conjugation is accompanied by effective parametric amplification in seven spectral ranges. Study of phase conjugation in an active amplified medium showed that such adaptive mirror allows tuning the duration of a laser pulse. It was theoretically predicted and experimentally discovered phenomena of rotation of the polarization plane of the wave induced by laser.

Study of interaction of a wave with an electron beam made it possible to develop theories of Cherenkov and Cherenkov klystron, transition laser and diffraction laser. As a result of careful analysis the amplification mechanism in all these devices were discovered. It was shown that by tuning the lengths of an amplified wave and an electron bunch one could improve the efficiency of free electron laser.The problem of formation of Cherenkov radiation from a spontaneous noise was solved.

These investigations made it possible to show methods of modulation and polarization of electron beams by laser radiation.

Quantum electrodynamics theory was developed for the real optical communication channel based on the classical current as the source of information and metallic layer as a detector.

The theory of superliquidity of non-ideal Fermi gases was developed, and Ginzburg-Landau equations were derived for anisotropic superconductors. The quantum fluctuations of non-linear parametric systems were studied in the framework of quantum electrodynamics.

On the basis of obtained results the high-resolution polarization spectroscopy was created. They were used for experimental studying of anisotropy superconductor in electromagnetic fields. On the basis of the results the project of an effective Cherenkov laser in mm and sub mm wavelength span was suggested.