Abstract
For the intensities greater than 1018 W/cm 2, circularly polarized radiation can propagate in electron plasma whose density is greater than the critical density. A strong flow of relativistic electrons, axially co-moving with the pulse arises. At this point the, the magnetic field of the electromagnetic wave becomes important. In the present paper, three regimes of propagation of circularly polarized laser beam in magnetized plasma are identified. An appropriate expression for the non-linear dielectric tensor has been used in the analysis under paraxial approximation. Two modes of propagation, viz, extraordinary mode and ordinary mode exist; because of the relativistic mechanism the induced magnetic field significantly affect the propagation of laser beam in plasma. Further studied for inhomogeneous plasma and penetration in overdense plasma is indicated. The induced magnetic field leads to the magnetically induced transparency due to extraordinary mode.
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