Abstract
Frequency shifting of electromagnetic waves by creation of time-varying plasma has been a subject of considerable activity in plasma science due to its potential applications in the generation of tunable microwave radiation over a broad frequency range. A method of frequency shifting of a right circularly polarized wave travelling in an isotropic plasma medium, by switching a slowly varying magnetic field in the direction of propagation is analysed. Three new waves with time-varying frequencies are generated due to switching of a time-varying magnetic field. The set of equations giving the total field of newly created waves is reduced to a second-order Riccati equation and the analytical solution of this equation is obtained using a technique of iterative improvement. An exponentially varying magnetic field function is considered for the sake of illustration of the slowly varying magnetic field. The time-varying electric fields, magnetic fields and power flux of the newly created waves are computed for the profile under consideration. There are frequency downshifts in the first two waves and upshift in the third wave. The condition of validity of the proposed solution for each of the waves is discussed. Parameters and typical values for an experiment that will illustrate the generation of the new waves are given.
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