  The present study explores radiation in THz spectrum region through the
interaction of the wakefield of two-color laser pulses with magnetized plasma.
The interaction of the two-color laser with plasma electrons induces transverse
nonlinear current in two dimensions, resulting in generation of a wakefield and
a forward wave. The investigation revealed that during the non-relativistic
regime of laser-plasma interaction, interdependence exists between the electric
fields of the forward wave and the wake. Conversely, in the relativistic
regime, the dynamic of interaction changes, and plasma electrons are influenced
not only by the electric field of the laser pulse but also by relativistic
effects like Lorentz contraction, responding to both the electric and magnetic
field components. This leads to generation of wake and forward wave radiations.
The interplay between various laser and plasma parameters is analyzed, shedding
light on the conditions leading to radiation angular distribution patterns in
the forward and backward directions. The impact of spatial laser profile, a DC
external magnetic field, polarization states, and plasma interaction length on
the generated wake and forward wave patterns has been investigated. Through
systematic variation of these parameters, the objective is to elucidate the
controlled directional features of the resulting fields and radiation patterns.
