Study of Effective Nonlinear Refractive Index Coefficients of Two-dimensional Triangular-lattice Photonic Crystals

ZHOU Ke-tao; TANG Zhi-xiang; YI Wei; PAN Rong; PAN Jin; ZHOU Zheng

doi:10.3788/gzxb20164509.0919001

[1] BOYD R W. Nonlinear optics［M］. 3rd ed. Boston: Academic, 2008.

[2] KAURANEN M, ZAYATS A V. Nonlinear plasmonics［J］. Nature Photonics, 2012, 6(11): 737-748.

[3] SLUSHER R E, EGGLETON B J. Nonlinear photonic crystals［M］. Berlin: Springer, 2003.

[4] SOLJACIC M, JOANNOPOULOS J D. Enhancement of nonlinear effects using photonic crystals［J］. Nature Materials, 2004, 3(4): 211.

[5] BUSCH K, FREYMANN G V, LINDEN S, et al. Periodic nanostructures for photonics［J］. Physics Reports, 2007, 444(3): 101-202.

[6] MONAT C, STERKE M D, EGGLETON B J. Slow light enhanced nonlinear optics in periodic structures［J］. Journal of Optics, 2010, 12(10): 104003.

[7] DENZ C, FLACH S, KIVSHAR Y S. Nonlinearities in periodic structures and metamaterials［M］. Berlin: Springer, 2010.

[8] CAI W, SHALAEV V. Optical metamaterials［M］. New York: Springer, 2010.

[9] RICARD D, ROUSSIGNOL P, FLYTZANIS C. Surface-mediated enhancement of optical phase conjugation in metal colloids［J］. Optics Letters, 1985, 10(10): 511-513.

[10] QIU Jun-cai, LIU Han-kui, TIAN Xiao-xin, et al. Numerical calculations of nonlinear coefficient of photonic crystal fibers［J］. Acta Photonica Sinica, 2008, 37(2): 297-300.

[11] FISCHER G L, BOYD R W, GEHR R J, et al. Enhanced nonlinear optical response of composite materials［J］. Physical Review Letters, 1995, 74(10): 1871-1874.

[12] LEE H, YU K W. Effective medium theory for strongly nonlinear composites: comparison with numerical simulations［J］. Journal of Physics: Condensed Matter, 1995, 197(4): 341-344.

[13] ZHANG C, WU X, WU S, et al. Nonlinear susceptibility of periodic composites with shell structure［J］. Physical Review B, 1996, 54(23): 16349-16352.

[14] METZGER B, HENTSCHE M, SCHUMACHER T, et al. Doubling the efficiency of third harmonic generation by positioning ITO nanocrystals into the hot-spot of plasmonic gap-antennas［J］. Nano Letters, 2014, 14(5): 2867-2872.

[15] AOUANI H, RAHMANI M, NAVARRO-CIA M, et al. Third-harmonic-upconversion enhancement from a single semiconductor nanoparticle coupled to a plasmonic antenna［J］. Nature Nanotechnology. 2014, 9(4): 290-294.

[16] LI K, LI X, LEI D, et al. Plasmon gap mode-assisted third-harmonic generation from metal film-coupled nanowires［J］. Applied Physics Letters, 2014, 104(26): 261105.

[17] LEE J, TYMCHENKO M, ARGYROPOULOS C, et al. Giant nonlinear response from plasmonicmetasurfaces coupled to intersubband transitions［J］. Nature, 2014, 511(7507): 65-69.

[18] DOLGALEVA K, BOYD R W. Local-field effects in nanostructured photonic materials［J］. Advances in Optics and Photonics, 2012, 4(1): 1-77.

[19] XIA F, SEKARIC L, VLASOV Y. Ultracompact optical buffers on a silicon chip［J］. Nature Photonics, 2007, 1(1): 65-71.

[20] KHURGIN J B. Slow light in various media: A tutorial［J］. Advances in Optics and Photonics, 2010, 2(3): 287-318.

[21] MILONNI P W. Fast light, slow light and left-handed light［M］. Florida: CRC Press, 2004.

[22] KHURGIN J B, TAYLOR R S. Slow light: Science and applications［M］. Florida: CRC press, 2009.

[23] CHEN Wei-zong, BO Tao, FU Ling-li,et al. Effective refractive index and dispersive properties of one-dimensional photonic crystals［J］. Acta Photonica Sinica, 2002, 31(9): 1124-1127.

[24] LIU Yang, TANG Ji-yu, WANG Xi, et al. Optimal design of photonic band gap in Ge-based tetragonal lattice 2D photonic crystal［J］. Chinese Journal of Luminescence, 2014, 35(4): 491-495.

[25] TANG Z, YI W, PAN J, et al. Physical mechanisms for tuning the nonlinear effects in photonic crystals［J］. Optics Express, 2015, 23(15): 19885-19890.

[26] LI Chun-lei, SHENG Qiu-qin. The relation between the nonlinear coefficient of PCF and its geometry parameters and the optical wavelength［J］. Acta Photonica Sinica, 2006, 35(5): 734-737.