Paper
6 February 2007 Efficient modeling of spatially incoherent sources based on Wiener chaos expansion method for the analysis of photonic crystal spectrometers
M. Badieirostami, A. Adibi, Hao-Min Zhou, Shui-Nee Chow
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Abstract
We present an efficient model for the simulation of spatially incoherent sources based on Wiener chaos expansion (WCE) method with two orders of magnitude shorter simulation time over the brute-force model. In this model the stochastic wave propagation equation is reduced to a set of deterministic partial differential equations (PDEs) for the expansion coefficients. We further numerically solve these deterministic PDEs by finite difference time domain (FDTD) technique. While the WCE method is general, we apply it to the analysis of photonic crystal spectrometers for diffuse source spectroscopy.
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M. Badieirostami, A. Adibi, Hao-Min Zhou, and Shui-Nee Chow "Efficient modeling of spatially incoherent sources based on Wiener chaos expansion method for the analysis of photonic crystal spectrometers", Proc. SPIE 6480, Photonic Crystal Materials and Devices VI, 648018 (6 February 2007); https://doi.org/10.1117/12.717273
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KEYWORDS
Computer simulations

Chaos

Photonic crystals

Finite-difference time-domain method

Mathematical modeling

Palladium

Spectrometers

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