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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 7 — Apr. 8, 2013
  • pp: 8886–8896

Self-accelerating beams in photonic crystals

Ido Kaminer, Jonathan Nemirovsky, Konstantinos G. Makris, and Mordechai Segev  »View Author Affiliations


Optics Express, Vol. 21, Issue 7, pp. 8886-8896 (2013)
http://dx.doi.org/10.1364/OE.21.008886


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Abstract

We find accelerating beams in a general periodic optical system, such as photonic crystal slabs, honeycomb lattices, and various metamaterials. These beams retain a shape-preserving profile while bending to highly non-paraxial angles along a circular-like trajectory. The properties of such beams depend on the crystal lattice structure: on a small-scale, the fine features of the beams profile are uniquely derived from the exact structure of the crystalline cells, while on a large-scale the beam only depends on the periodicity of the lattice, asymptotically reaching the free-space analytic solutions when the wavelength is much larger than the cell size. We demonstrate such beams in a 2D Kronig-Penney separable model, but our methodology of finding such solutions is general, predicting accelerating beams in any periodic structure. This highlights how light can be guided through a general system by only tailoring the incoming field, without altering the structure itself.

© 2013 OSA

OCIS Codes
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics
(260.2065) Physical optics : Effective medium theory
(160.5298) Materials : Photonic crystals
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Photonic Crystals

History
Original Manuscript: February 19, 2013
Revised Manuscript: March 24, 2013
Manuscript Accepted: March 25, 2013
Published: April 3, 2013

Citation
Ido Kaminer, Jonathan Nemirovsky, Konstantinos G. Makris, and Mordechai Segev, "Self-accelerating beams in photonic crystals," Opt. Express 21, 8886-8896 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-7-8886


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