It has been shown that light localization can occur within disordered and random dielectric lattices. The presence and nature of localized light within these dielectric layouts is examined through the rotational order symmetry present within both the field profile and the dielectric. A Fourier-Bessel expansion algorithm using exponentials and Bessel functions as basis functions is employed to decompose the dielectric layout and localized light field profiles. Selecting the coordinate origin for the expansion to coincide with the localized light's field center demonstrates that a relationship exists between the rotational order in the localized light and the dielectric layout.

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Keywords Fourier-Bessel, Photonic crystals, photonic quasi-crystals, rotational symmetry
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Conference Photonic and Phononic Properties of Engineered Nanostructures II
Newman, S.R. (Scott R.), & Gauthier, R. (2012). Fourier-Bessel expansions of localized light in disorder dielectric lattices. Presented at the Photonic and Phononic Properties of Engineered Nanostructures II. doi:10.1117/12.908586