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.
© 2005 Optical Society of America
(000.3860) General : Mathematical methods in physics
(130.3120) Integrated optics : Integrated optics devices
(230.3990) Optical devices : Micro-optical devices
(260.2110) Physical optics : Electromagnetic optics
Yang Jiao, Shanhui Fan, and David A. B. Miller, "Photonic crystal device sensitivity analysis with Wannier basis gradients," Opt. Lett. 30, 302-304 (2005)