A manifestation of the Sagnac effect in a rotating photonic crystal that contains a microcavity with degenerate modes is explored. It is shown that generally rotation can cause the resonance frequency to split into M different frequencies, where M is the order of the stationary-system mode degeneracy. The results are derived using a new rotation-induced eigenvalue theory that holds for any two-dimensional or three-dimensional rotating microcavity with mode degeneracy. Comparison with exact numerical simulations of the rotating system is provided. Miniature optical gyroscopes are discussed.
© 2006 Optical Society of America
Original Manuscript: June 29, 2006
Manuscript Accepted: August 9, 2006
Ben Z. Steinberg and Amir Boag, "Splitting of microcavity degenerate modes in rotating photonic crystals—the miniature optical gyroscopes," J. Opt. Soc. Am. B 24, 142-151 (2007)