Abstract

The optical properties of a pair of directly interacting cavities, side-coupled to a waveguide, are investigated analytically by the coupled-mode theory. Due to the indirect coupling via waveguide, the resonance split can be controlled through the involved direct coupling coefficients and the indirect coupling phase shift. As a result, a variety of complete transmissions, two different types of one-peak reflectivity profiles, and two-peak reflectivity profiles can be obtained. All the predictions of the resonator-waveguide coupling systems obtained theoretically are validated numerically by the finite-difference time-domain method in photonic crystals.

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