Polarization conversion in time-modulated magnetized plasmas: Faraday configuration

In this paper, we address the problem of wave propagation within an unbounded time-modulated magnetized plasma in a Faraday configuration. We present an analysis formulated by coupling Maxwell's equations with the hydrodynamic evolution equation for the plasma current density, and casting the resulting system into a first-order state-space representation that governs the time evolution of the electromagnetic fields. This formulation shows that the temporal modulation of the magnetized plasma can lead to conversion of the polarization state. In addition, we extend our previously presented energy conservation framework to the case of time-modulated magnetized plasmas and show that energy conservation is satisfied when the collapse-source model introduced in our previous work is applied during the plasma decay phase.