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Generation of wake fields by a short electromagnetic pulse in a plasma withan inhomogeneous background magnetic field and density profile is considered,and a wave equation is derived. Transmission and reflection coefficients arecalculated in a medium with sharp discontinuities. Particular attention isfocused on examples where the longitudinal part of the electromagnetic field isamplified for the transmitted wave. Furthermore, it is noted that the wakefield can propagate out of the plasma and thereby provide information about theelectron density profile. A method for reconstructing the background densityprofile from a measured wake field spectrum is proposed and a numerical exampleis given.Comment: 12 pages in LaTeX style, 11 eps figure

Propagation of electromagnetically generated wake fields in inhomogeneous magnetized plasmas