Layer Matrix [S-Matrix]
The layer matrix solver works in the spatial frequency domain (k domain). It consists of
- an eigenmode solver for each homogeneous layer and
- an S-matrix for matching the boundary conditions at all the interfaces.
The eigenmode solver computes the field solution in the k domain for the homogeneous medium in each layer. The S-matrix algorithm calculates the response of the whole layer system by matching the boundary conditions in a recursive manner. It is well-known for its unconditional numerical stability since, unlike the traditional transfer matrix, it avoids the exponentially growing functions in the calculation steps.
- White Paper - Layer Matrix [S-Matrix]pdf08.06.2020