1302.4789 (Tatsuya Usuki)

Numerical formulation of three-dimensional scattering problems for
optical structures    [PDF]

Tatsuya Usuki

This paper describes a numerical formulation for calculating wave propagation with high precision in a three-dimensional system. Yee's discretization scheme is used to formulate a frequency domain method that is compatible with the finite-difference time-domain (FDTD) procedure. When the S-matrix satisfies a unitarity (power flow conservation) condition, the method enables arbitrary S-matrix elements to be obtained within a numerical error of less than $10^{-8}$ ($2 \times 10^{-13}$) for double precision format.

View original: http://arxiv.org/abs/1302.4789