title: Photonic crystal device sensitivity analysis with Wannier basis gradients.
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.
authors.affiliation: Ginzton Laboratory, Department of Electrical Engineering, Stanford University, Stanford, California 94305-4088, USA. jiaoyang@stanford.edu
authors.forename: Yang
authors.initials: Y
authors.lastname: Jiao
authors.forename: Shanhui
authors.initials: S
authors.lastname: Fan
authors.forename: David A B
authors.initials: DA
authors.lastname: Miller