Mathemathics modelling for four-wave mixing and its application

In this thesis we are going to consider mathematics modelling for four-wave mixing and its applications. At first we discuss about four-wave mixing and then its application will consider in phase conjugation and real time holography. Also its application develop in make of Brillouin mirrors.It consider some second and third order nonlinear optical interaction like second-harmonic generation, sum and difference frequency generation, third order polarization and third harmonic generation and it will point to phase-matching too, Then its defined four-wave mixing and degenerate four-wave mixing and also it points to optical phase conjugation and definations of phase conjugate waves.We are going to introduce holography and the wavefront reconstruction process and then we will point to application of four wave mixing in real time holography that, this subject propounds under the title of optical phase conjugation as real time holography and then We are going to point effect of acostooptic and electrostriction, and then it will propound stimulated Brillouin scattering induced by electrostriction, after it we are going to consider base of Brillouin mirrors that is introduction for consideration of phase conjugation by stimulated Brillouin scattering and this is discussing as another applications of four wave mixing.

Keywords:

four-wave mixing , phase conjugation , real time holography , Brillouin mirror , second-harmonic generation , third order polarization , phase-matching , sum and difference frequency , electrostriction , stimulated Brillouin scattering