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Opt Lett. 2004 Nov 15;29(22):2653-5.

Diffraction and localization in low-dimensional photonic bandgaps.

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Dipartimento di Fisica and Istituto di Fotonica e Nanotecnologie del Consiglio Nazionale delle Richerche, Politecnico di Milano, Piazza L. da Vinci, 32 I-20133 Milano, Italy.


We show that, in low-dimensional photonic bandgaps, wave diffraction resulting from localization in the translational-invariant directions is strongly influenced by the photonic band structure of the periodic crystal, leading to new kinds of wave localization. In particular, for a periodic layered structure we show that, close to a bandgap edge, diffraction is enhanced, with a transition from a parabolic diffraction curve-typical of isotropic media and supporting Gaussian beams-to hyperbolic or elliptic diffraction curves. In the last two cases localization in the form of stationary X-shaped or sinc-shaped waves is possible.

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