The nonlinear interaction of the dominant TE(10) waveguide mode of a fundamental frequency with a plasma slab in an infinitely long rectangular waveguide is analyzed utilizing an approximate technique. Explicit expressions for the first three harmonic components of the electron density and current density in the plasma are given. General expressions for the nonlinearly generated second-harmonic electric fields are derived. Numerical results show that the second-harmonic power generated in the TM(11) wave-guide mode is more than ten times that generated in the TE(11) waveguide mode.
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