‎plasma density role on instability growth of transverse-longitudinal coupled electromagnetic modes in the collisional dense plasma

In this paper, the growth of transverse-longitudinal coupled electromagnetic modes in the interaction of high-intensity lasers with dense plasma is investigated. using kinetic theory and solving the scattering relationship for the vlasov-maxwell system, the collision effects on the growth of the electromagnetic mode are studied. the anisotropic distribution function considers the effects of body stress due to laser ponderomotive force and plasma density gradient. the results show that a 99% reduction in frequency in the beam path in dense plasma leads to an 88% increase in the growth rate of unstable modes. increasing the density prevents immediate cessation and enhances the growth of unstable modes. increasing the density gradient by 99%, the instability rate maximum will increase by 88%. overall, this paper provides insights into the effects of collision and anisotropic distribution function on the growth of transverse-longitudinal coupled electromagnetic modes in dense plasma. overall, this paper provides insights into the interplay between various phenomena such as body stress, collision, and electromagnetic modes in dense plasma.