Formation and Transmission Characteristics of Spatial Optical Soliton in Singular Photonic Crystal Lattice

Abstract

Abstract:

Based on the basic theory of spatial optical soliton model in photonic crystal lattice, using division Fourier algorithm, the transmission characteristics and stability of optical soliton in Photorefractive and two-dimensional photonic crystal lattice are studied. The results show that in Hermite optic static, the Lattice order, modulation intensity and depth significantly change the spatial soliton shape and its range of stability. The results of this paper has important guiding significance in experimental study of the spatial soliton.

Key words: space soliton, photonic crystal lattice, Hermite lattice

CLC Number:

O436

XU Siliu，Zhou Bozhen, CHEN Shunfang . Formation and Transmission Characteristics of Spatial Optical Soliton in Singular Photonic Crystal Lattice[J]. J4, 2015, 32(2): 210-215.

References

[1] Ying Wu and L. Deng, Ultraslow Optical Solitons in a Cold Four-State Medium[J], Phys. Rev.Lett., 2004, 93: 143904～143907.
[2] Zhiping Dai and Qi Guo, Spatial soliton switching in strongly nonlocal media with longitudinally increasing optical lattices[J]，J. Opt. Soc. Am. B, 2011, 28(1):134～139.
[3]M.Peccianti,?C.Conti1,?G.Assanto,?A.D. Luca, and?C.Umeton, All-optical switching and logic gating with spatial solitons in liquid crystals[J], Appl.Physics.Lett. , 2002, 81, 3335～3338.
[4] Liangwei Dong, and Fangwei Ye, Shaping solitons by lattice defects, Phys. Rev. A, 2010, 82, 053829～053835.
[5] Kunyuan Xu, Xiguang Zheng, Cailian Li, and Weilong She, Design of omnidirectional and multiple channeled filters using one-dimensional photonic crystals containing a defect layer with a negative refractive index[J], Phys. Rev. E, 2005,71, 066604～066609 .
[6] G.C. D.Jr.,?J.L.Shultz, and?G.J.Salamo,?et al., Observation of self-trapping of an optical beam due to the photorefractive effect[J], Phys. Rev. Lett., 1993, 71, 533～537.
[7] G.Zhang and J.Liu, Screening-photovoltaic spatial solitons in biased two-photon photovoltaic photorefractive crystals[J], 2009, J. Opt. Soc. Am. B, 26, 113～120.
[8] M. R. Beli?, A. Stepken?and?F. Kaiser, Spatial Screening Solitons as Particles[J], Phys. Rev. Lett.,2000, 84, 83～87.
[9] A.Ciattoni, C.Rizza, E.DelRe, and E. Palange, Photorefractive solitons embedded in gratings in centrosymmetric crystals[J], Opt. Lett., 2006, 31(11), 1690～1692.
[10] G. I.Stegeman and M. Segev, Optical spatial solitons and their interactions: universality and diversity[J], Science, 1999, 286: 1518～1523.
[11] T.Carmon, R.Uzdin, C.Pigier, Z.H.Musslimani, M. Segev, and A.Nepomnyashchy, Rotating optical soliton clusters[J], Phys. Rev. Lett., 2001, 87, 143901～143904.
[12] M.I.Molina and Y.S.Kivshar, Discrete and surface solitons in photonic grapheme nanoribbons[J], Optics Letters, 2010, 35, 2895～2897.
[13] A. Xie, L.V. Meer, W. Hoff,?et al., Long-Lived Amide I Vibrational Modes in Myoglobin[J], Phys. Rev. Lett., 2000, 84, 5435～5438.
[14] A. J. Sievers and S. Takeno, Intrinsic Localized Modes in Anharmonic Crystals[J], Phys. Rev.Lett.,1988, 61, 970～973.
[15] M.Sato, ?A.J. Sievers, B. Ilic, et al., Observation of Locked Intrinsic Localized Vibrational Modes in a Micromechanical Oscillator Array[J], Phys. Rev. Lett., 2003, 90, 044102～044105.
[16] Lei Wu , Lu Li, JieFang Zhang, Dumitru Mihalache,Boris A. Malomed, and W. M. Liu, Exact solutions of the Gross-Pitaevskii equation for stable vortex modes in two-dimensional Bose-Einstein condensates[J], Phys. Rev. A, 2010,81, 061805(R)～061808.
[17] X. S. Wang, Z. G. Chen and P. G. Kevrekidis, Observation of Discrete Solitons and Soliton Rotation in Optically Induced Periodic Ring Lattices[J], Phys. Rev. Lett., 2006, 96, 083904～083907.
[18] J. W. Fleischer, M. Segev, N. K. Efremidis, et al., Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices[J], Nature, 2003, 422,147～150.
[19] P.Zhang, C.B. Lou, Sheng Liu, Jianlin Zhao, Jingjun Xu, and Zhigang Chen, Tuning of Bloch modes, diffraction, and refraction by two-dimensional lattice reconfiguration[J], Optics Letters, 2010, 35, 892～894． .
[20] Z.Chen, H.Martin, E. D. Eugenieva, et al., Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains, Phys. Rev. Lett . 2004, 92,143902～123905．