We present results from a new method that allows us to design the mode fields for 3D photonic crystal heterostructure cavities, in the domain where the perturbation used to create the cavity is weak. The method, based on a perturbation treatment from solid-state physics, enables the rapid computation of the main features of 3D cavity modes for an arbitrary perturbation and is several orders of magnitude faster than direct numerical methods. We use this method to study optimal confinement of resonant states in these structures.

© 2010 Optical Society of America

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