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Abstract
We present robust control of superposition of spatial modes in a photonic crystal cavity arising from incorporating a weak localized perturbation. As expected, this perturbation breaks the symmetry of the underlying photonic crystal structure, resulting in a frequency shift of the cavity eigen modes. Engineering of the perturbation leads us to discover the comprehensive mathematical structure of the governing superposition of the spatial modes. This superposition is further designed to obtain controllable channeling of light through a cavity–waveguide system, thus demonstrating its applicabitily in realizing narrow (wide) band filters, controllable beam splitters, and wavelength multiplexers.
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