Self-guiding in two-dimensional photonic crystals
Optics Express, Vol. 11, Issue 10, pp. 1203-1211 (2003)
http://dx.doi.org/10.1364/OE.11.001203
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Abstract
Dielectric periodic media can possess a complex photonic band structure with allowed bands displaying strong dispersion and anisotropy. We show that for some frequencies the form of iso-frequency contours mimics the form of the first Brillouin zone of the crystal. A wide angular range of flat dispersion exists for such frequencies. The regions of iso-frequency contours with near-zero curvature cancel out diffraction of the light beam, leading to a self-guided beam.
© 2003 Optical Society of America
[Optical Society of America ]
OCIS Codes
(130.2790) Integrated optics : Guided waves
(260.2110) Physical optics : Electromagnetic optics
ToC Category:
Research Papers
History
Original Manuscript: April 2, 2003
Revised Manuscript: May 9, 2003
Published: May 19, 2003
Citation
Dmitry Chigrin, Stefan Enoch, Clivia Sotomayor Torres, and Gérard Tayeb, "Self-guiding in two-dimensional photonic crystals," Opt. Express 11, 1203-1211 (2003)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-10-1203
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References
- V. P. Bykov, �??Spontaneous emission in a periodic structure,�?? Sov. Phys. - JETP 35, 269�??273 (1972).
- E. Yablonovitch, �??Inhibited spontaneous emission in solid-state physics and electronics,�?? Phys. Rev. Lett. 58, 2059 (1987). [CrossRef] [PubMed]
- S. John, �??Strong localization of photons in certain disordered dielectric superlattices,�?? Phys. Rev. Lett. 58, 2486�??2489 (1987). [CrossRef] [PubMed]
- P. St. J. Russell, �??Optics of Floquet-Block waves in dielectric gratings.�?? Appl. Phys. B B39, 231�??246 (1986). [CrossRef]
- R. Zengerle, �??Light propagation in singly and doubly periodic planar waveguides,�?? J. Mod. Optics 34, 1589�??1617 (1987). [CrossRef]
- H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, �??Superprism phenomena in photonic crystals,�?? Phys. Rev. B 58, R10096�??10099 (1998). [CrossRef]
- B. Gralak, S. Enoch, and G. Tayeb, �??Anomalous refractive properties of photonic crystals,�?? J. Opt. Soc. Am. A 17, 1012 (2000). [CrossRef]
- H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, �??Self-collimating phenomena in photonic crystals,�?? Appl. Phys. Lett. 74, 1212�??1214 (1999). [CrossRef]
- P. Etchegoin and R. T. Phillips, �??Photon focusing, internal diffraction, and surface states in periodic dielectric structures,�?? Phys. Rev. B 53, 12674�??12683 (1996). [CrossRef]
- D. N. Chigrin and C. M. Sotomayor Torres, �??Periodic thin-film interference filters as one-dimensional photonic crystals,�?? Opt. Spectrosc. 91, 484�??489 (2001). [CrossRef]
- S. G. Johnson and J. D. Joannopoulos, �??Block-iterative frequency-domain methods for Maxwell�??s equations in a planewave basis,�?? Opt. Express 8, 173�??190 (2001),<a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-8-3-173"> http://www.opticsexpress.org/abstract.cfm?URI=OPEX-8-3-173</a> [CrossRef] [PubMed]
- J. P. Dowling and C. Bowden, �??Atomic emission rates in inhomogeneous media with applications to photonic band structures,�?? Phys. Rev. A 46, 612 (1992). [CrossRef] [PubMed]
- R. Camley and A. Maradudin, �??Phonon focusing at surface,�?? Phys. Rev. B 27, 1959 (1983). [CrossRef]
- D. N. Chigrin, �??Radiation pattern of a classical dipole in a photonic crystal,�?? in preparation
- A. Yariv and P. Yeh, Optical Waves in Crystals (John Wiley and Sons, New York, 1984).
- J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, Princeton, N.J., 1995).
- A. Yariv, �??Coupled-wave formalism for optical waveguiding by transverse Bragg reflection,�?? 27, 936, (2002). [CrossRef]
- G. Tayeb and D. Maystre, �??Rigorous theoretical study of finite-size two-dimensional photonic crystals doped by microcavities,�?? J. Opt. Soc. Am. A 14, 3323 (1997). [CrossRef]
- A. Talneau, Ph. Lalanne, M. Agio, and C. M. Soukoulis, �??Low-reflection photonic-crystal taper for efficient coupling between guide sections of arbitrary widths,�?? Opt. Lett. 27, 1522 (2002). [CrossRef]
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