Two-dimensional Green's function theory for the electrodynamics of a rotating medium.

We derive an exact spectral representation for the Green's function of Maxwell equations in a two-dimensional homogeneous and rotating environment. The formulation is developed in the medium (noninertial) rest frame, and it represents the response to a point source, where both the source and observation points rotate together with the medium. The closed form expression for the Green's function is derived for (nonrelativistic) slowly rotating media at finite distances.

Rotating photonic crystals: a medium for compact optical gyroscopes.

The effect of rotation of a photonic crystal that contains a set of microcavities is studied using the formulation of electrodynamics in rotating media. A new manifestation of the Sagnac effect is observed. It is shown that the phase shift or frequency difference between rotation-codirected and rotation-counterdirected propagations depends on a set of parameters not previously reported.

Sensitivity analysis of narrowband photonic crystal filters and waveguides to structure variations and inaccuracy.

Photonic crystal microcavities, formed by local defects within an otherwise perfectly periodic structure, can be used as narrowband optical resonators and filters. The coupled-cavity waveguide (CCW) is a linear array of equally spaced identical microcavities. Tunneling of light between microcavities forms a guiding effect, with a central frequency and bandwidth controlled by the local defects' parameters and spacing, respectively.