Second-order sensitivity analysis for a photonic crystal waveguide bend

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)69-75
Journal / PublicationJournal of the Optical Society of America B: Optical Physics
Issue number1
Publication statusPublished - 1 Jan 2015


Sensitivity analysis provides important information on the tolerance to fabrication imperfections for any designed devices. Standard sensitivity analysis relies on the first-order partial derivatives of a response function of the device with respect to the design parameters. These derivatives are also useful in the device optimization process when a gradient based optimization method is used. The first-order sensitivity analysis becomes inadequate if the first-order derivatives are small or zero. In this paper an efficient method for computing second-order partial derivatives is developed for idealized two-dimensional photonic crystal (PhC) devices with circular cylinders. The response function is the normalized power-transmission coefficient in an output waveguide and the design parameters are the radii of the cylinders. Based on that, a second-order sensitivity analysis is performed for a 90° PhC waveguide bend at the frequency where the transmission coefficient is close to 1.