This test validates the scuff-transmission application module of the scuff-em code suite by using it to study the textbook case of Fresnel scattering: the transmission and reflection of plane waves at a dielectric interface.
The situation considered here is that of a plane wave impinging from below on a dielectric half-space (relative permittivity ) filling the region . (More details on the setup for scuff-transmission calculations may be found in the document Computation of reflection and transmission coefficients in scuff-em.)
For this case, the transmission and reflection coefficients for the TE and TM polarizations read
where is the incident angle ( for normal incidence), is the index of refraction, and
The transmission and reflection coefficients for the dielectric half-space problem may be computed using scuff-transmission as follows:
% scuff-transmission --geometry E10HalfSpace_40.scuffgeo --Omega 1.0 --ThetaMin 0.0 --ThetaMax 88.0 --ThetaPoints 20"
Here the file
describes the scuff-em" geometry
(it refers to a mesh file named
and the command-line arguments ask for a calculation at
angular frequency rad/sec
and at 20 incident angles in the range degrees.