Reflection, absorption and transmission of TE electromagnetic waves propagation in a nonuniform plasma slab

A numerical scheme is described to compute the reflection, absorption, and transmission coefficients of TEm,0TEm,0 and plane electromagnetic waves propagating in a nonuniform plasma slab. The numerical solutions are in good agreement with theoretical solutions for two different kinds of electron density profiles. The solutions for various electron density profiles will be shown in TEm,0TEm,0 mode. The method has applications to predicting the fields in plasmas where the density is profile is known, such as in microwave breakdown in a waveguide.