Excitation of electrostatic standing wave in the superposition of two counter propagating relativistic whistler waves

The problem of standing wave formation by superposing two counter-propagating whistler waves in an overdense plasma, studied recently Sano et al. (Phys. Rev. E 100, 053205 (2019) and Phys. 101, 013206 (2020)), has been revisited the relativistic limit. A detailed theory along with simulation performed to study interaction counter propagating relativistically intense waves. explains such process more precisely predicts correct field amplitudes for a much wider range physical parameters as compared its non-relativistic counterpart. analytical results are 1-D Particle-in-Cell (PIC) results, using OSIRIS 4.0. relevance ion heating fast ignition scheme inertial confinement fusion.