Fast and Efficient Simulation of Diffuse Light using Wiener Chaos Expansion and its Applications for Design of Photonic Crystal Spectrometers

We present an efficient model for simulation of spatially incoherent sources based on Wiener chaos expansion (WCE) method with two orders of magnitude improvement over the brute-force techniques. While the technique is general, we apply it to the analysis and design of photonic crystal spectrometers for diffuse source spectroscopy.