Fresnel Matrix

The Fresnel matrix solver works in the spatial frequency domain (k domain). It consists of

• an eigenmode solver for the homogeneous media on both sides of the interface and
• matching of the boundary conditions at the plane interface separating those two media.

The eigenmode solver computes the field solution in the k domain for the homogeneous medium in each layer, and then boundary conditions are applied to compute the matrix of reflection and transmission coefficients. In contrast to the traditional Fresnel coefficients (typically given for TE and TM, or s- and p-polarization), our solver gives the result corresponding to the E_x and E_y field components directly.