The propagation of electromagnetic waves in one-dimensional disordered dielectric layer stack is studied theoretically using the transfer matrix formalism. The presence of the dimer unit cells inside a host photonic crystal, as the intentionally short range disorder correlation, provides predicted dimer resonances, leading to the break down of the Anderson localization. However while suitably adjusting the intrinsic defect unit cell parameters (i.e. the defect dielectric constants), the light can be transmitted on larger localization length through a ballistic canal, opening up possibilities for performing better tailored ballistic optical filters. Moreover, by increasing the rate of disorder (i.e. the defects concentration and/or the length of the system) the quality of the transmission around the ballistic resonance can be improved with the smoother corresponding allowed mini bands.
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Khalfoun, H., Bentata, S., Bouamoud, M., Henrard, L., & Vandenbem, C. (2009). The ballistic dimer resonance in the one-dimensional disordered photonic crystals. Superlattices and microstructures, 46(6), 803-811. https://doi.org/10.1016/j.spmi.2009.09.005