Maslov complex germ and high-frequency Gaussian beams for cold plasma in a toroidal domain

Asymptotic vector solutions describing, in the linear approximation, the passage of high-frequency Gaussian beams through an electroneutral plasma occupying a toroidal domain T (modeling a tokamak chamber) are constructed in a fairly effective form by using the Maslov complex germ theory. The particle density and the magnetic field in T are assumed to be given. Based on Radon transforms, the reconstruction of the particle density and the magnetic field from measurements of the characteristics of Gaussian beams after their passage through T is discussed.