Effects of Variation of Plasma and Cyclotronic Frequencies on Nonlinear Permittivity

Abstract

In this work, the effects of variation of plasma and cyclotronic frequencies on nonlinear permittivity μ₂ has been studied. Two equations of second order has been solved numerically using Runge-Kutta method. Decreasing the minimum beam width parameter is an important issue in some applications such as laser ignitor fusion, laser acceleration and harmonic generation. The effect of applying of magnetic field has been analyzed through the variation of minimum beam width parameter as a function of the cyclotronic frequency. The effect of magnetized plasma is to decrease f₀ until it reaches its minimum point then after that point diffraction term becomes dominant.