Identyfikatory
DOI
Warianty tytułu
Języki publikacji
Abstrakty
We report that defect solitons can be supported by kagome photonic lattices with a defect in biased photovoltaic-photorefractive crystals. For a positive defect, these defect solitons exist only in the semi-infinite bandgap and are stable in the low power region but unstable in the high power region. For a negative defect, these defect solitons exist in both of the semi-infinite bandgaps and the first bandgap. In the semi-infinite bandgap, low-power defect solitons are stable when the negative defect depth is low and unstable when the negative defect depth is high, moderate-power defect solitons are stable when the negative defect depth is high, and high-power defect solitons are unstable for all the negative defect depths. In the first bandgap, defect solitons are stable in all the power regions when the negative defect depth is low. When the negative defect depth is high, defect solitons are stable in the high power region and unstable in the low power region. On the other hand, these defect solitons are those studied previously in kagome photonic lattices with a defect in biased non-photovoltaic-photorefractive crystals when the bulk photovoltaic effect is negligible and those in kagome photonic lattices with a defect in photovoltaic-photorefractive crystals when the external bias field is absent.
Czasopismo
Rocznik
Tom
Strony
349--359
Opis fizyczny
Bibliogr. 31 poz., rys.
Twórcy
autor
- Tianjin Key Laboratory of Optoelectronic Detection Technology and Systems, Tianjin Polytechnic University, Tianjin 300387, China
- School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China
autor
- Tianjin Key Laboratory of Optoelectronic Detection Technology and Systems, Tianjin Polytechnic University, Tianjin 300387, China
- School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China
autor
- Tianjin Key Laboratory of Optoelectronic Detection Technology and Systems, Tianjin Polytechnic University, Tianjin 300387, China
- School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China
autor
- Tianjin Key Laboratory of Optoelectronic Detection Technology and Systems, Tianjin Polytechnic University, Tianjin 300387, China
- School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China
autor
- Tianjin Key Laboratory of Optoelectronic Detection Technology and Systems, Tianjin Polytechnic University, Tianjin 300387, China
- School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China
Bibliografia
- [1] EISENBERG H.S., SILBERBERG Y., MORANDOTTI R., BOYD A.R., AITCHISON J.S., Discrete spatial optical solitons in waveguide arrays, Physical Review Letters 81(16), 1998, p. 3383.
- [2] JIANKE YANG, MUSSLIMANI Z.H., Fundamental and vortex solitons in a two-dimensional optical lattice, Optics Letters 28(21), 2003, pp. 2094–2096.
- [3] EFREMIDIS N.K., HUDOCK J., CHRISTODOULIDES D.N., FLEISCHER J.W., COHEN O., SEGEV M., Two-dimensional optical lattice solitons, Physical Review Letters 91(21), 2003, article ID 213906.
- [4] PELINOVSKY D.E., SUKHORUKOV A.A., KIVSHAR YU.S., Bifurcations and stability of gap solitons in periodic potentials, Physical Review E 70(3), 2004, article ID 036618.
- [5] LOUIS P.J.Y., OSTROVSKAYA E.A., SAVAGE C.M., KIVSHAR YU.S., Bose–Einstein condensates in optical lattices: band-gap structure and solitons, Physical Review A 67(1), 2003, article ID 013602.
- [6] EFREMIDIS N.K., CHRISTODOULIDES D.N., Lattice solitons in Bose–Einstein condensates, Physical Review A 67(6), 2003, article ID 063608.
- [7] IWANOW R., SCHIEK R., STEGEMAN G.I., PERTSCH T., LEDERER F., MIN Y., SOHLER W., Observation of discrete quadratic solitons, Physical Review Letters 93(11), 2004, article ID 113902.
- [8] BAIZAKOV B.B., MALOMED B.A., SALERNO M., Multidimensional solitons in periodic potentials, EPL (Europhysics Letters) 63(5), 2003, pp. 642–648.
- [9] NESHEV D.N., ALEXANDER T.J., OSTROVSKAYA E.A., KIVSHAR YU.S., MARTIN H., MAKASYUK I., ZHIGANG CHEN, Observation of discrete vortex solitons in optically induced photonic lattices, Physical Review Letters 92(12), 2004, article ID 123903.
- [10] FLEISCHER J.W., BARTAL G., COHEN O., MANELA O., SEGEV M., HUDOCK J., CHRISTODOULIDES D.N., Observation of vortex-ring “discrete” solitons in 2D photonic lattices, Physical Review Letters 92(12), 2004, article ID 123904.
- [11] MALOMED B.A., KEVREKIDIS P.G., Discrete vortex solitons, Physical Review E 64(2), 2001, article ID 026601.
- [12] ALEXANDER T.J., SUKHORUKOV A.A., KIVSHAR YU.S., Asymmetric vortex solitons in nonlinear periodic lattices, Physical Review Letters 93(6), 2004, article ID 063901.
- [13] NESHEV D., OSTROVSKAYA E., KIVSHAR YU.S., KROLIKOWSKI W., Spatial solitons in optically induced gratings, Optics Letters 28(9), 2003, pp. 710–712.
- [14] JIANKE YANG, MAKASYUK I., BEZRYADINA A., ZHIGANG CHEN, Dipole and quadrupole solitons in optically induced two-dimensional photonic lattices: theory and experiment, Studies in Applied Mathematics 113(4), 2004, pp. 389–412.
- [15] FISCHER R., TRÄGER D., NESHEV D.N., SUKHORUKOV A.A., KROLIKOWSKI W., DENZ C., KIVSHAR YU.S., Reduced-symmetry two-dimensional solitons in photonic lattices, Physical Review Letters 96(2), 2006, article ID 023905.
- [16] XIAOSHENG WANG, ZHIGANG CHEN, JIANDONG WANG, JIANKE YANG, Observation of in-band lattice solitons, Physical Review Letters 99(24), 2007, article ID 243901.
- [17] KARTASHOV Y.V., VYSLOUKH V.A., TORNER L., Surface lattice solitons in diffusive nonlinear media, Optics Letters 33(8), 2008, pp. 773–775.
- [18] JUANLI HUI, KEQING LU, BAOJU ZHANG, JUN ZHANG, HAIYING XING, Surface defect lattice solitons in biased photovoltaic–photorefractive crystals, Optics and Laser Technology 75, 2015, pp. 57–62.
- [19] FEDELE F., JIANKE YANG, ZHIGANG CHEN, Defect modes in one-dimensional photonic lattices, Optics Letters 30(12), 2005, pp. 1506–1508.
- [20] XIAOSHENG WANG, JACK YOUNG, ZHIGANG CHEN, WEINSTEIN D., JIANKE YANG, Observation of lower to higher bandgap transition of one-dimensional defect modes, Optics Express 14(16), 2006, pp. 7362–7367.
- [21] JIANDONG WANG, JIANKE YANG, ZHIGANG CHEN, Two-dimensional defect modes in optically induced photonic lattices, Physical Review A 76(1), 2007, article ID 013828.
- [22] KEHAO LI, KEQING LU, JIANBANG GUO, WEIJUN CHEN, TONGTONG SUN, FENGXUE YAO, JINGJUN XU, Defect modes supported by optical lattices in photovoltaic-photorefractive crystals, Optics Communications 285(13–14), 2012, pp. 3187–3190.
- [23] KEQING LU, JIANBANG GUO, KEHAO LI, WEIJUN CHEN, TONGTONG SUN, FENGXUE YAO, PINGJUAN NIU, JINGJUN XU, Defect modes in optically induced photonic lattices in biased photovoltaic–photorefractive crystals, Optical Materials 34(8), 2012, pp. 1277–1281.
- [24] JIANKE YANG, ZHIGANG CHEN, Defect solitons in photonic lattices, Physical Review E 73(2), 2006, article ID 026609.
- [25] CHEN W.H., ZHU X., WU T.W., LI R.H., Defect solitons in two-dimensional optical lattices, Optics Express 18(11), 2010, pp. 10956–10962.
- [26] XING ZHU, HONG WANG, LI-XIAN ZHENG, Defect solitons in kagome optical lattices, Optics Express 18(20), 2010, pp. 20786–20792.
- [27] LAW K.J.H., SAXENA A., KEVREKIDIS P.G., BISHOP A.R., Localized structures in kagome lattices, Physical Review A 79(5), 2009, article ID 053818.
- [28] STURMAN B.I., FRIDKIN V.M., The Photovoltaic and Photorefractive Effect in Non-centrosymmetric Materias, Gordon and Breach, Philadelphia, 1992.
- [29] KEHAO LI, KEQING LU, YIQI ZHANG, PINGJUAN NIU, LIYUANYU, YANPENG ZHANG, Localized surface waves at the interfzace between a linear dielectric and a photovoltaic-photorefractive crystal, Optics and Laser Technology 48, 2013, pp. 79–82.
- [30] JIANKE YANG, LAKOBA T.I., Universally-convergent squared-operator iteration methods for solitary waves in general nonlinear wave equations, Studies in Applied Mathematics 118(2), 2007, pp. 153–197.
- [31] JIANKE YANG, Iteration methods for stability spectra of solitary waves, Journal of Computational Physics 227(14), 2008, pp. 6862–6876.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e5928767-de0d-4241-8ba7-ec33328f32b4