Modeling Light Propagation Through Bragg Reflection Gratings With an AdaptedMonte Carlo Method

Conventional Monte Carlo light propagation methods use Fresnel reflection coefficients to determine the probability that a photon reflects when reaching an interface. However, in structures, where the wave nature of light is important, such as Bragg reflection gratings, Fresnel coefficients cannot be used due to interference effects. The reflection coefficients for such structures can be calculated by applying wave equations for each wavelength to be simulated in the structure. These reflection coefficients are then used in the Monte Carlo simulation to model light propagation through interference-producing media. A number of Bragg gratings are modeled as an example and the results of the simulation are corroborated by analytic calculations.