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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 8 — Apr. 21, 2014
  • pp: 9574–9584

Optical isolation via ���� -symmetric nonlinear Fano resonances

F. Nazari, N. Bender, H. Ramezani, M.K. Moravvej-Farshi, D. N. Christodoulides, and T. Kottos  »View Author Affiliations

Optics Express, Vol. 22, Issue 8, pp. 9574-9584 (2014)

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We show that Fano resonances created by two 𝒫𝒯 -symmetric nonlinear micro-resonators coupled to a waveguide, have line-shape and resonance position that depends on the direction of the incident light. We utilize these features in order to induce asymmetric transport, up to 47 dBs, in the optical C-window. Our theoretical proposal requires low input power and does not compromise the power or frequency characteristics of the output signal.

© 2014 Optical Society of America

OCIS Codes
(000.6800) General : Theoretical physics
(130.0130) Integrated optics : Integrated optics
(230.3240) Optical devices : Isolators

ToC Category:
Nonlinear Optics

Original Manuscript: February 27, 2014
Revised Manuscript: March 28, 2014
Manuscript Accepted: March 30, 2014
Published: April 14, 2014

F. Nazari, N. Bender, H. Ramezani, M.K. Moravvej-Farshi, D. N. Christodoulides, and T. Kottos, "Optical isolation via 𝒫𝒯 -symmetric nonlinear Fano resonances," Opt. Express 22, 9574-9584 (2014)

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  1. Z. Yu, S. Fan, “Complete optical isolation created by indirect interband photonic transitions,” Nat. Photonics 3, 91–94 (2009). [CrossRef]
  2. M.S. Kang, A. Butsch, P.S.J. Russell, “Reconfigurable light-driven opto-acoustic isolators in photonic crystal fibre,” Nat. Photonics 5, 549–553 (2011). [CrossRef]
  3. K. Gallo, G. Assanto, “All-optical diode based on second-harmonic generation in an asymmetric waveguide,” JOSA B 16, 267–269 (1999). [CrossRef]
  4. M. Scalora, J.P. Dowling, C.M. Bowden, M.J. Bloemer, “The photonic band edge optical diode,” J. Appl. Phys. 76, 2023–2026 (1994). [CrossRef]
  5. S. Lepri, G. Casati, “Asymmetric wave propagation in nonlinear systems,” Phys. Rev. Lett. 106, 164101 (2011). [CrossRef] [PubMed]
  6. Y. Xu, A. E. Miroshnichenko, “Reconfigurable nonreciprocity with nonlinear Fano diode,” eprint arXiv:1311.2533 (2013).
  7. L. Fan, J. Wang, L.T. Varghese, H. Shen, B. Niu, Y. Xuan, A. M. Weiner, M. Qi, “An all-silicon passive optical diode,” Science 335, 447–450 (2012). [CrossRef]
  8. B. Peng, S. K. Ozdemir, F. Lei, F. Monifi, M. Gianfreda, G. L. Long, S. Fan, F. Nori, C. M. Bender, L. Yang, “Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities,” arXiv:1308.4564 (2013).
  9. K. J. Vahala, “Optical microcavities,” Nature (London) 424, 839–846 (2003). [CrossRef]
  10. N. Bender, S. Factor, J.D. Bodyfelt, H. Ramezani, D. N. Christodoulides, F. Ellis, T. Kottos, “Observation of asymmetric transport in structures with active nonlinearities,” Phys. Rev. Lett. 110, 234101 (2013). [CrossRef]
  11. A. E. Miroshnichenko, S. Flach, Y.S. Kivshar, “Fano resonances in nanoscale structures,” Rev. Mod. Phys. 82, 2257–2298 (2010). [CrossRef]
  12. K. Srinivasan, M. Borselli, O. Painter, A. Stintz, S. Krishna, “Cavity Q, mode volume, and lasing threshold in small diameter AlGaAs microdisks with embedded quantum dots,” Opt. Express 14, 1094–1105 (2006). [CrossRef] [PubMed]
  13. C. M. Bender, “Making sense of non-hermitian hamiltonians,” Rep. Prog. Phys. 70, 947–1018 (2007). [CrossRef]
  14. The 𝒫𝒯-symmetric phase transition can be also achieved by manipulating the coupling strength between the gain an loss elements while keeping the balanced gain and loss parameter constant. Specifically it can be shown that decreasing the coupling strength is equivalent to increasing the gain and loss parameter.
  15. K. G. Makris, R. El-Ganainy, D.N. Christodoulides, “Beam dynamics in PT symmetric optical lattices,” Phys. Rev. Lett. 100, 103904 (2008). [CrossRef] [PubMed]
  16. C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010). [CrossRef]
  17. A. Regensburger, C. Bersch, M.A. Miri, G. Onishchukov, D. N. Christodoulides, U. Peschel, “Parity - time synthetic photonic lattices,” Nature 488, 167–171 (2012). [CrossRef] [PubMed]
  18. S. Longhi, “PT-symmetric laser absorber,” Phys. Rev. A 82, 031801 (2010). [CrossRef]
  19. Y.D. Chong, L. Ge, A.D. Stone, “PT-symmetry breaking and laser-absorber modes in optical scattering systems,” Phys. Rev. Lett. 106, 093902 (2011). [CrossRef] [PubMed]
  20. H. Ramezani, T. Kottos, R. El-Ganainy, D. N. Christodoulides, “Unidirectional nonlinear PT-symmetric optical structures,” Phys. Rev. A 82, 043803 (2010). [CrossRef]
  21. J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, T. Kottos, “PT-symmetric electronics,” J. Phys. A -Math and Theor. 45, 444029 (2012). [CrossRef]
  22. H. Ramezani, J. Schindler, F.M. Ellis, U. Günther, T. Kottos, “Bypassing the bandwidth theorem with PT symmetry,” Phys. Rev. A 85, 062122 (2012). [CrossRef]
  23. Z. Lin, J. Schindler, F.M. Ellis, T. Kottos, “Experimental observation of the dual behavior of PT-symmetric scattering,” Phys. Rev. A 85, 050101 (2012). [CrossRef]
  24. Y-F Xiao, M. Li, Y-C Liu, Y. Li, X. Sun, Q. Gong, “Asymmetric Fano resonance analysis in indirectly coupled microresonators,” Phys. Rev. A 82, 065804 (2010). [CrossRef]
  25. B-B Li, Y-F Xiao, C-L Zou, X-F Jiang, Y-C Liu, F-W Sun, Y Li, Q Gong, “Experimental controlling of Fano resonance in indirectly coupled whispering-gallery microresonators”, Applied Phys. Lett. 100, 021108 (2012). [CrossRef]
  26. Q. Xu, S. Sandhu, M. L. Povinelli, J. Shakya, S. Fan, M. Lipson, “Experimental realization of an on-chip all-optical analogue to electromagnetically induced transparency,” Phys. Rev. Lett. 96, 123901 (2006). [CrossRef] [PubMed]
  27. K. Totsuka, N. Kobayashi, M. Tomita, “Slow light in coupled-resonator-induced transparency,” Phys. Rev. Lett. 98, 213904 (2007). [CrossRef] [PubMed]
  28. D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, R. W. Boyd, “Coupled-resonator-induced transparency,” Phys. Rev. A 69, 063804 (2004). [CrossRef]
  29. A. E. Miroshnichenko, B.A. Malomed, Y.S. Kivshar, “Nonlinearly PT-symmetric systems: spontaneous symmetry breaking and transmission resonances,” Phys. Rev. A 84, 012123 (2011). [CrossRef]
  30. J. Ctyroky, I. Richter, V. Sinor, “Dual resonance in a waveguide-coupled ring microresonator,” Optic. Quantum Electron. 38, 781–797 (2006). [CrossRef]

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