7 July 2005 Multivariate analysis of photonic crystal microcavities with fabrication defects
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Photonic crystal microcavities are defined by the spatial arrangement of materials. In the analysis of their spatial-temporal mode distributions Finite-Difference Time-Domain (FDTD) methods have proved its validity. The output of the FDTD can be seen as the realizations of a multidimensional statistic variable. At the same time, fabrication tolerances induce an added and unavoidable variability in the performance of the microcavity. In this contribution we have analyzed the modes of a defective photonic crystal microcavity. The location, size, and shape of the cylinders configuring the microcavity are modelled as having a normal distribution of their parametric descriptors. A principal component analysis is applied to the output of the FDTD for a population of defective microcavities. The relative importance of the defects is evaluated, along with the changes induced in the spatial temporal distribution of electromagnetic field obtained from the calculation.
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Jose M. Rico-Garcia, Jose M. Rico-Garcia, Jose M. Lopez-Alonso, Jose M. Lopez-Alonso, Javier Alda, Javier Alda, "Multivariate analysis of photonic crystal microcavities with fabrication defects", Proc. SPIE 5840, Photonic Materials, Devices, and Applications, (7 July 2005); doi: 10.1117/12.608709; https://doi.org/10.1117/12.608709

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