The harmonic generation has always been of fundamental interest in studying
the nonlinear nature of any physical system. In the present study, Particle -
In - Cell (PIC) simulations have been carried out to explore the harmonic
generation of Electromagnetic waves in a magnetized plasma. The EM wave
propagation is chosen to be parallel to the applied external magnetic field.
The simulations show the excitation of odd higher harmonics of RCP (Right
circularly polarized) and LCP (Left circularly polarized) when the incident
wave is linearly polarised. The harmonic generation is maximum when the
incident EM wave frequency matches the electron cyclotron frequency. When the
incident EM wave has a circular polarization, no harmonics get excited. A
theoretical understanding of these observations has also been provided. The
studies thus show that by appropriately tailoring of plasma parameters EM waves
of higher frequencies and desired nature of circular polarization can be
generated.Comment: 25 pages, 15 figure