Multivariate analysis of photonic crystal microcavities with fabrication defects

Jose M. Rico-Garcia; Jose M. Lopez-Alonso; Javier Alda

doi:10.1117/12.608709

7 July 2005 Multivariate analysis of photonic crystal microcavities with fabrication defects

Jose M. Rico-Garcia, Jose M. Lopez-Alonso, Javier Alda

Proceedings Volume 5840, Photonic Materials, Devices, and Applications; (2005) https://doi.org/10.1117/12.608709
Event: Microtechnologies for the New Millennium 2005, 2005, Sevilla, Spain

Abstract

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.

Citation Download Citation

Jose M. Rico-Garcia, Jose M. Lopez-Alonso, and Javier Alda "Multivariate analysis of photonic crystal microcavities with fabrication defects", Proc. SPIE 5840, Photonic Materials, Devices, and Applications, (7 July 2005); https://doi.org/10.1117/12.608709

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