Spatiotemporal Evolution Of Relativistic Upper-Hybrid Waves In A Cold Magnetized Plasma

The space-time evolution of relativistic upper-hybrid oscillations and waves in cold homogeneous magnetized plasma has been studied analytically and numerically using Dawson Sheet Model [1]. It is found that in case of stationary oscillations, due to relativistic variation of electron mass, the oscillation frequency becomes function of space, which results in phase mixing[1, 2, 4], whereas the traveling wave solution [3] which is like Akhiezer-Polovin mode in unmagnetized cold plasma[5] exhibit phase mixing only when longitudinally perturbed. The sensitivity of the relativistic upper hybrid mode to initial conditions has been analytically studied and an expression for breaking time has been derived. Numerical 1-1/2 D code, based on Dawson Sheet Model has been developed to simulate the evolution of relativistic upper-hybrid mode and the breaking time has been verified for an entire range of input parameters. These results are of relevance to laboratory and astrophysical plasmas where the magnetic field plays an important role.

[1] J. M. Dawson, Phys. Rev. 113, 383 (1959)

[2] C. Maity et.al. PRL 110, 215002 (2013)

[3] M. Karmakar et.al. POP 23, 064503 (2016)

[4] S. Sengupta et.al. Phys. Rev. E 79, 026404 (2009)

[5] A. I. Akhiezer and R. V. Polovin, Sov. Phys. JETP., 3, 696 (1956).