Markov Chains for Modeling Complex Luminescence, Absorption, and Scattering in Nanophotonic Systems

We develop a method based on Markov chains to model fluorescence, absorption, and scattering in nanophotonic systems. We show that the method reproduces Beer-Lambert's Law and Kirchhoff's Law, but also can be used to analyze deviations from these laws when some of their assumptions are violated. We show how to use the method to analyze a luminescent solar concentrator (LSC) based on semiconductor nanocrystals.