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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 11 — Jun. 1, 2013
  • pp: 1912–1914

Topologically protected midgap states in complex photonic lattices

Henning Schomerus  »View Author Affiliations

Optics Letters, Vol. 38, Issue 11, pp. 1912-1914 (2013)

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One of the principal goals in the design of photonic crystals is the engineering of band gaps and defect states. Here I describe the formation of topologically protected localized midgap states in systems with spatially distributed gain and loss. These states can be selectively amplified, which finds applications in the beam dynamics along a photonic lattice and in the lasing of quasi-one-dimensional photonic crystals.

© 2013 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(140.3410) Lasers and laser optics : Laser resonators
(160.5293) Materials : Photonic bandgap materials

ToC Category:

Original Manuscript: April 16, 2013
Manuscript Accepted: May 2, 2013
Published: May 27, 2013

Henning Schomerus, "Topologically protected midgap states in complex photonic lattices," Opt. Lett. 38, 1912-1914 (2013)

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  1. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987). [CrossRef]
  2. S. John, Phys. Rev. Lett. 58, 2486 (1987). [CrossRef]
  3. M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010). [CrossRef]
  4. Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljačić, Nature 461, 772 (2009). [CrossRef]
  5. M. Hafezi, E. A. Demler, M. D. Lukin, and J. M. Taylor, Nat. Phys. 7, 907 (2011). [CrossRef]
  6. Y. E. Kraus, Y. Lahini, Z. Ringel, M. Verbin, and O. Zilberberg, Phys. Rev. Lett. 109, 106402 (2012). [CrossRef]
  7. H. Schomerus and N. Yunger Halpern, Phys. Rev. Lett. 110, 013903 (2013). [CrossRef]
  8. M. C. Rechtsman, J. M. Zeuner, A. Tünnermann, S. Nolte, M. Segev, and A. Szameit, Nat. Photonics 7, 153 (2013). [CrossRef]
  9. K. Fang, Z. Yu, and S. Fan, Nat. Photonics 6, 782 (2012). [CrossRef]
  10. T. Kitagawa, M. A. Broome, A. Fedrizzi, M. S. Rudner, E. Berg, I. Kassal, A. Aspuru-Guzik, E. Demler, and A. G. White, Nat. Comms. 3, 882 (2012). [CrossRef]
  11. W. P. Su, J. R. Schrieffer, and A. J. Heeger, Phys. Rev. Lett. 42, 1698 (1979). [CrossRef]
  12. K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 100, 103904 (2008). [CrossRef]
  13. A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009). [CrossRef]
  14. C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6, 192 (2010). [CrossRef]
  15. M. C. Zheng, D. N. Christodoulides, R. Fleischmann, and T. Kottos, Phys. Rev. A 82, 010103 (2010). [CrossRef]
  16. H. Ramezani, D. N. Christodoulides, V. Kovanis, I. Vitebskiy, and T. Kottos, Phys. Rev. Lett. 109, 033902 (2012). [CrossRef]
  17. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003). [CrossRef]
  18. H. Schomerus, Phys. Rev. Lett. 104, 233601 (2010). [CrossRef]
  19. S. Longhi, Phys. Rev. A 82, 031801 (2010). [CrossRef]
  20. Y. D. Chong, L. Ge, and A. D. Stone, Phys. Rev. Lett. 106, 093902 (2011). [CrossRef]
  21. S. Ryu and Y. Hatsugai, Phys. Rev. Lett. 89, 077002 (2002). [CrossRef]

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