Self-focusing of Hermite-cosh-Gaussian laser beam in semiconductor quantum plasma

Self-focusing of Hermite-cosh-Gaussian (HchG) laser beam in semiconductor quantum plasma (ScQP) has been presented by considering the decentred parameter and quantum effect. We drive the equation of beam width parameter by using parabolic wave equation and solved it numerically by using WKB approximation. Our simulation results show that HchG beam gives freedom to source parameters that influence the self-focusing significantly. Additional self-focusing has been observed in ScQP than that of classical case of reference. The quantum plasma also adds pinching effect to laser propagation in semiconductor like germanium which further enhances the self-focusing more and more in ScQP.