Microwave Faraday rotation and self-focusing of helicon waves in n-InSb

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Abstract
Simultaneous propagation of two otherwise independent modes of a magnetoactive medium has been studied, when the power of the modes is high enough to invoke appreciable nonlinearities. A high‐mobility sample of n‐InSb is chosen and the transverse intensity profiles for both modes are taken to be Gaussian. Even though the presence of either mode affects the propagation of the other considerably, the nonlinearity‐induced convergence is very different for the two modes. As a result, the ellipticity of the beam is changed drastically. In the helicon limit the focusing of the propagating mode has been predicted in a length ∼ 1 cm at the axial field intensity of 0.3 esu. This focusing is effective only when |ω−ωc|> ν and ωc/ω<10.

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