Nonlinear polarization density behaviour simulation in media by electromagnetic wave influence

Abstract

Bloch's equations have been solved numerically by Runge-Kutta-Fehlberg method to evaluate the medium nonlinear polarization density behaviour. The medium has been represented as a two- level system according to the quantum theory. In this representation, matrix density formula describes the two levels coupling, under rotating wave approximation (RWA). The effect of frequency detuning (Δ) on the nonlinear polarization density shows the nonlinear polarization density decreases when the interaction becomes far away from exact resonance interaction. The response of time for nonlinear medium is increase for certain values of  (relative ratio of longitudinal to transverse relaxation time).Then, the responses will be very little as it increase