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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 29, Iss. 22 — Nov. 15, 2004
  • pp: 2653–2655

Diffraction and localization in low-dimensional photonic bandgaps

Stefano Longhi and Davide Janner  »View Author Affiliations


Optics Letters, Vol. 29, Issue 22, pp. 2653-2655 (2004)
http://dx.doi.org/10.1364/OL.29.002653


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Abstract

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.

© 2004 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(230.1480) Optical devices : Bragg reflectors
(230.4170) Optical devices : Multilayers

Citation
Stefano Longhi and Davide Janner, "Diffraction and localization in low-dimensional photonic bandgaps," Opt. Lett. 29, 2653-2655 (2004)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-29-22-2653

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