Simple description of laterally resonant, distributed-feedback-like modes of arrays of antiguides

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Abstract
The Bloch‐function method is used to provide a simple, yet accurate treatment of the leaky modes of infinite‐extent antiguided arrays. Laterally resonant modes of infinite arrays are described for the first time. Bloch‐function solutions for infinite arrays are used to explain key characteristics of the modes of finite‐extent antiguided arrays. It is found that the resonant modes of antiguided arrays satisfy the second‐order lateral Bragg condition, and consequently are analogous to the modes of second‐order distributed‐feedback (DFB) lasers. In effect, the resonant‐optical‐waveguide (ROW) array is a second‐order lateral DFB structure with the radiative component along the longitudinal device axis, and zero stopband.