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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
Photonic crystal device sensitivity analysis with Wannier basis gradients
Yang Jiao1, Shanhui Fan, David A B Miller
1Ginzton Laboratory, Department of Electrical Engineering, Stanford University, Stanford, California 94305-4088, USA. jiaoyang@stanford.edu
Abstract:
We present a powerful sensitivity analysis method for devices in a photonic crystal. The method is based on a Wannier basis field expansion and efficient matrix analysis techniques for finding eigenvalue and transmission gradients with respect to the perturbation. The method permits fast analysis of a large number of dielectric perturbation situations for multiple devices in a photonic crystal. We verify the method with finite-difference time-domain and plane-wave expansion calculations.

