Skip to main content
SpringerLink
Log in

A review on spatial self-phase modulation of two-dimensional materials

二维材料的空间自相位调制研究进展

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

Self-diffraction appears when the strong laser goes through two-dimensional material suspension, and this spatial self-phase modulation (SPPM) phenomenon can be used to measure nonlinear optical parameters and achieve optical switch. At present, the mechanism of SPPM is still ambiguous. The debate mainly focuses on whether the phenomenon is caused by the nonlinear refractive index of the two-dimensional material or the thermal effect of the laser. The lack of theory limits the dimension of the phase modulation to the radius of the diffraction ring and the vertical imbalance. Therefore, it is urgent to establish a unified and universal SSPM theoretical system of two-dimensional material.

摘要

当强激光入射二维材料离散体时, 透过的激光会出现自衍射环, 这是一种空间自相位调制现象, 可以用于测试非线性光学参数和实现光开关。现在, 关于空间自相位调制现象的机理仍有争论, 主要 聚焦在是二维材料的非线性折射率主导还是激光的热效应主导。理论的缺失限制了相位调制的维度, 只能调控衍射环的半径和竖直方向的失衡。因此, 有必要建立一个普适的空间自相位调制理论体系。

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. MAIMAN T H. Stimulated optical radiation in ruby [J]. Nature, 1960, 187(4736): 493–494. DOI: https://doi.org/10.1038/187493a0.

    Article  Google Scholar 

  2. TOWNES C H. Obituary: Theodore H. Maiman (1927-2007) [J]. Nature, 2007, 447(7145): 654. DOI: https://doi.org/10.1038/447654a.

    Article  Google Scholar 

  3. WANG Gang, XIAO Si, PENG Yu-hui, WANG Ying-wei, YUAN Cai-lei, HE Jun. Two-photon and three-photon absorption in ZnO nanocrystals embedded in Al2O3 matrix influenced by defect states [J]. Optical Letter, 2019, 44(1): 179–182. DOI: https://doi.org/10.1364/OL.44.000179.

    Article  Google Scholar 

  4. XIAO Si, WANG Hui, LIU Sheng, LI Min, WANG Ying-wei, CHEN Jia-zhang, GUO Lu-hua, LI Jian-bo, HE Jun. Saturable absorption enchantment of Au nanorods based on energy transfer between longitudinal and transverse energy levels [J]. Chinese Physics Letters, 2018, 35(6): 067801. DOI: https://doi.org/10.1088/0256-307X/35/6/067801.

    Google Scholar 

  5. GUO Lu-hua, WANG Ying-wei, JIANG Yong-qiang, XIAO Si, HE Jun. Dependence of nonlinear optical response of anatase TiO2 on shape and excitation intensity [J]. Chinese Physics Letters, 2017, 37(7): 266–270. DOI: https://doi.org/10.1088/0256-307X/34/7/077803.

    Google Scholar 

  6. YANG Zhe, ZHANG Xiang, XIAO Si, HE Jun, GU Bing. Ultrafast dynamics of free carriers induced by two-photon excitation in bulk ZnSe crystal [J]. Acta Physica Sinica, 2015, 64(17):177901. DOI: https://doi.org/10.7498/aps.64.177901.

    Google Scholar 

  7. OSTROVERKHOVA O, MOERNER W E. Organic photorefractives mechanisms, materials, and applications [J]. Chemical Reviews, 2004, 35(39): 3267–3314. DOI: https://doi.org/10.1021/cr960055c.

    Article  Google Scholar 

  8. DAVIS A, MCNAMARA D E, COTTRELL D M, SONEHARA T. Two-dimensional polarization encoding with a phase-only liquid-crystal spatial light modulator [J]. Applied Optics, 2000, 39(10): 1549–1554. DOI: https://doi.org/10.1364/AO.39.001549.

    Article  Google Scholar 

  9. OSTROVSKY S, RICKENSTORFF C, ARRIZON V. Generation of the “perfect” optical vortex using a liquid-crystal spatial light modulator [J]. Optical Letter, 2013, 38(4): 534–536. DOI: https://doi.org/10.1364/01.38.000534.

    Article  Google Scholar 

  10. RUIZ A M, LEMMI C, MORENO L, CAMPOS J, YZUEL M J. Anamorphic and spatial frequency dependent phase modulation on liquid crystal displays optimization of the modulation diffraction efficiency [J]. Optical Express, 2005, 13(6): 2111–2119. DOI: https://doi.org/10.1364/OPEX.13.002111.

    Article  Google Scholar 

  11. MOROZOVSKA A N, KHIST V V, GLINCHUK M D, SCHERBAKOV C M, SILIBIN M V, KAROUBSKY D V, ELISEEV E A. Flexoelectricity induced spatially modulated phases in ferroics and liquid crystals [J]. Journal of Molecular Liquids, 2018, 267: 550–559. DOI: https://doi.org/10.1016/j.molliq.2018.01.052.

    Article  Google Scholar 

  12. SHEN Y, GOODHEW L, SHAO R, MORAN M, KORBLOVA E, WALBA D M, CLARK N A, MACLENNAN J E, RUDQUIST P. Field alignment of bent-core smectic liquid crystals for analog optical phase modulation [J]. Applied Physics Letters, 2015, 106(19): 191101. DOI: https://doi.org/10.1063/1.4919805.

    Google Scholar 

  13. ZHANG Q, CHENG X M, CHEN H W, HE B, REN Z Y, ZHANG Y, BAI J T. Diffraction-free, self-reconstructing Bessel beam generation using thermal nonlinear optical effect [J]. Applied Physics Letters, 2017, 111(16):161103. DOI: https://doi.org/10.1063/1.4997067.

    Google Scholar 

  14. ZHANG H, ZHOU H, LI J, QIAO Y J, SI J, GAO W. Compensation of phase nonlinearity of liquid crystal spatial light modulator for high-resolution wave front correction [J]. Journal of the European Optical Society: Rapid Publications, 2015, 10: 15036. DOI: https://doi.org/10.2971/jeos.2015.15036.

  15. PAN Ru-pin, CHEN Shyu-mou, PAN Ci-ling. Self-bending and asymmetric spatial self-phase modulation [J]. Journal of the Optical Society of America B, 1991, 8(5): 1065–1071. DOI: https://doi.org/10.1364/JOSAB.8.001065.

    Article  Google Scholar 

  16. NOVOSELOV K S, GEIM A K, MOROZOV S V, JIANG D, Zhang Y, DUBONOS S V, GRIGORIEVA I V, FIRSOV A A. Electric field effect in atomically thin carbon films [J]. Science, 2004, 306 (5696): 666–669. DOI: https://doi.org/10.1126/science.1102896.

    Google Scholar 

  17. ZHU Yu-wei, WANG Peng, XIAO Si, HE Song, CHEN Jia-zhang, JIANG Yi-lin, WANG Yi-duo, HE Jun, GAO Yong-li. Manipulating three-dimensional bending to extraordinarily stiffen two-dimensional membranes by interference colors [J]. Nanoscale, 2018, 10(46): 21782–21789. DOI: https://doi.org/10.1039/c8nr06942e.

    Article  Google Scholar 

  18. REN Xiao-hui, QI Xiang, SHEN Yong-zhen, XIAO Si, XU Guang-hua, ZHANG Zhen, HUANG Zong-yu, ZHONG Jian-xin. 2D co-catalytic MoS2 nanosheets embedded with 1D TiO2 nanoparticles for enhancing photocatalytic activity. [J]. Journal of Physics D-Applied Physics, 2016, 49(31): 315304. DOI: https://doi.org/10.1088/0022-3727/49/31/315304.

    Google Scholar 

  19. XIA Feng-nian, WANG Han, XIAO Di, DUBEY M, RAMASUBRAMANIAM A. Two-dimensional material nanophotonics [J]. Nature Photonics, 2014, 8(12): 899–907. DOI: https://doi.org/10.1038/nphoton.2014.271.

    Article  Google Scholar 

  20. CAO Ming-li, ZHANG Hui-xia, ZHANG Cong. Effect of graphene on mechanical properties of cement mortars [J]. Journal of Central South University, 2016, 23(4): 919–925. DOI: https://doi.org/10.1007/s11771-016-3139-4.

    Article  Google Scholar 

  21. WU Zheng-tian, HU Fu-yuan, ZHANG Yang, GAO Qing, CHEN Zhen-ping. Mechanical analysis of double-layered circular graphene sheets as building material embedded in an elastic medium [J]. Journal of Central South University, 2017, 24(11): 2717–2724. DOI: https://doi.org/10.1007/s11771-017-3684-5.

    Article  Google Scholar 

  22. WANG Ying-wei, LIU Sheng, ZENG Bo-wen, HUANG Hao, XIAO Jin, LI Jian-bo, LONG Meng-qiu, XIAO Si, YU Xue-feng, GAO Yong-li, HE Jun. Ultraviolet saturable absorption and ultrafast carrier dynamics in ultrasmall black phosphorus quantum dots [J]. Nanoscale, 2017, 9(14): 4683–4690. DOI: https://doi.org/10.1039/c6nr09235g.

    Article  Google Scholar 

  23. WANG Ying-wei, MU Hao-ran, LI Xiao-hong, YUAN Jian, CHEN Jia-zhang, XIAO Si, BAO Qiao-liang, GAO Yong-li, HE Jun. Observation of large nonlinear responses in a graphene-Bi2Te3 heterostructure at a telecommunication wavelength [J]. Applied Physics Letters, 2016, 108(22): 221901. DOI: https://doi.org/10.1063/1.4953072.

    Google Scholar 

  24. WANG Ying-wei, HUANG Guang-hui, MU Hao-ran, LIN Sheng-huang, CHEN Jia-zhang, XIAO Si, BAO Qiao-liang, HE Jun. Ultrafast recovery time and broadband saturable absorption properties of black phosphorus suspension [J]. Applied Physics Letters, 2015, 107(9): 091905. DOI: https://doi.org/10.1063/1.4930077.

    Google Scholar 

  25. MU Hao-ran, WANG Zhi-teng, YUAN Jian, XIAO Si, CHEN Cai-yun, CHEN Yu, CHEN Yao, SONG Jing-chao, WANG Yu-sheng, XUE Yun-zhou, ZHANG Han, BAO Qiao-liang. Graphene–Bi2Te3 heterostructure as saturable absorber for short pulse generation [J]. ACS Photonics, 2015, 2(7): 832–841. DOI: https://doi.org/10.1021/acsphotonics.5b00193.

    Article  Google Scholar 

  26. WANG Yuan-qian, LIN Cai-fang, ZHANG Jing-di, HE Jun, XIAO Si. Research on the controllable nonlinear laser transmission properties of MoS2 nano-micron film [J]. Acta Physica Sinica, 2015, 64(3): 034214. DOI: https://doi.org/10.7498/aps.64.034214.

    Google Scholar 

  27. WANG Yuan-qian, HE Jun, XIAO Si, YANG Neng-an, CHEN Huo-zhang. Wavelength selective optical limiting effect on MoS2 solution [J]. Acta Physica Sinica, 2014, 63(14): 144204–144204. DOI: https://doi.org/10.7498/aps.63.144204.

    Google Scholar 

  28. TERUSHIGE H, HMYOSHI T, TSUTOMU H. Asymmetry analysis of two-dimensional optical phase-modulation characteristics of a microchannel spatial light modulator (MSLM) [J]. Electronics and Communications in Japan, 1993, 76(8): 158–163. DOI: https://doi.org/10.1002/ecjb.4420760804.

    Google Scholar 

  29. LAHAV O, GURGOV H, SIDORENKO P, PELEG O, LEVI L, FLEISCHER A, COHEN O. Self-phase modulation spectral broadening in two-dimensional spatial solitons toward three-dimensional spatiotemporal pulse-train solitons [J]. Optical Letter, 2012, 37(24): 5196–5198. DOI: https://doi.org/10.1364/OL.37.005196.

    Article  Google Scholar 

  30. ZHAO L, WANG T, YELIN S F. Two-dimensional all-optical spatial light modulation with high speed in coherent media [J]. Optical Letter, 2009, 34(13): 1930–1932. DOI: https://doi.org/10.1364/OL.34.001930.

    Article  Google Scholar 

  31. WU Rui, ZHANG Ying-li, YAN Shi-chao, BIAN Fei, WANG Wen-long, BAI Xue-dong, LU Xing-hua, ZHAO Ji-min, WANG En-ge. Purely coherent nonlinear optical response in solution dispersions of graphene sheets [J]. Nano Lett, 2011, 11(12): 5159–5164. DOI: https://doi.org/10.1021/nl2023405.

    Article  Google Scholar 

  32. SHI Bing-xin, MIAO Li-li, WANG Qing-kai, DU Juan, TANG Ping-hua, LIU Jun, ZHAO Chu-jun, WEN Shuangchun. Broadband ultrafast spatial self-phase modulation for topological insulator Bi2Te3 dispersions [J]. Applied Physics Letters, 2015, 107(15): 151101. DOI: https://doi.org/10.1063/1.4932590.

    Google Scholar 

  33. XIAO Si, LV Bo-sai, WU Liang, ZHU Meng-long, HE Jun, TAO Shao-hua. Dynamic self-diffraction in MoS2 nanoflake solutions [J]. Optical Express, 2015, 23(5): 5875–5887. DOI: https://doi.org/10.1364/OE.23.005875.

    Article  Google Scholar 

  34. ZHANG Jing-di, YU Xue-feng, HAN Wei-jia, LV Bo-sai, LI Xiao-hong, XIAO Si, GAO Yong-li, HE Jun. Broadband spatial self-phase modulation of black phosphorous [J]. Optical Letter, 2016, 41(8): 1704–1707. DOI: https://doi.org/10.1364/OL.41.001704.

    Article  Google Scholar 

  35. LI Xiao-hong, HU Kun-hong, LV Bo-sai, ZHANG Jing-di, WANG Ying-wei, WANG Peng, XIAO Si, GAO Yong-li, HE Jun. Enhanced nonlinear optical response of rectangular MoS2 and MoS2/TiO2 in dispersion and film [J]. The Journal of Physical Chemistry C, 2016, 120(32): 18243–18248. DOI: https://doi.org/10.1021/acs.jpcc.6b04974.

    Article  Google Scholar 

  36. LI Xiao-hong, LIU Run-kai, XIE Han-han, ZHANG Yu, LV Bo-sai, WANG Peng, WANG Jia-hong, FAN Qi, MA Ying, TAO Shao-hua, XIAO Si, YU Xue-feng, GAO Yong-li, HE Jun. Tri-phase all-optical switching and broadband nonlinear optical response in Bi2Se3 nanosheets [J]. Optical Express, 2017, 25(15): 18346–18354. DOI: https://doi.org/10.1364/OE.25.018346.

    Article  Google Scholar 

  37. JIANG Yong-qiang, MA Ying, FAN Zhao-yang, WANG Peng, LI Xiao-hong, WANG Ying-wei, ZHANG Yu, SHEN Jian-qiang, WANG Gang, YANG Zhong-Jian, XIAO Si, GAO Yong-li, HE Jun. Abnormal nonlinear optical properties of hybrid graphene-TiO2 nanostructures [J]. Optical Letter, 2018, 43(3): 523–526. DOI: https://doi.org/10.1364/OL.43.000523.

    Article  Google Scholar 

  38. WANG Gao-zhong, HIGGINS S, WANG Kang-peng, BENNETT D, MILOSAVLJEVIC N, MAGAN J J, ZHANG Sai-feng, ZHANG Xiao-yan, WANG Jun, BLAU W J. Intensity-dependent nonlinear refraction of antimonene dispersions in the visible and near-infrared region [J]. Applied Optics, 2018, 57(22): E147–E153. DOI: https://doi.org/10.1364/AO.57.00E147.

    Article  Google Scholar 

  39. SHAN You-xian, WU Lei-ming, LIAO Yun-long, TANG Jie, DAI Xiao-yu, XIANG Yuan-jiang. Distinguishing thermal lens effect from electronic third-order nonlinear self-phase modulation in liquid suspensions of 2D nanomaterials [J]. Nanoscale, 2017, 9(10): 3547–3554. DOI: https://doi.org/10.1039/c6nr08487g.

    Article  Google Scholar 

  40. SHAN You-xian, TANG Jie, WU Lei-ming, LU Shun-bin, DAI Xiao-yu, XIANG Yuan-jiang. Spatial self-phase modulation and all-optical switching of graphene oxide dispersions [J]. Journal of Alloys and Compounds, 2019, 771: 900–904. DOI: https://doi.org/10.1016/j.jallcom.2018.08.330.

    Article  Google Scholar 

  41. KARMAKAR S, BISWAS S, KUMBHAKAR P. Low power continuous-wave nonlinear optical effects in MoS2 nanosheets synthesized by simple bath ultrasonication [J]. Optical Materials, 2017, 73: 585–594. DOI: https://doi.org/10.1016/j.optmat.2017.09.020.

    Google Scholar 

  42. SADROLHOSSEINI A R, SURAYA A R, HAMID S, NOOR A S M, NEZAKATI H. Spatial self-phase modulation patterns in graphene oxide and graphene oxide with silver and gold nanoparticles [J]. Optical and Quantum Electronics, 2016, 48(4): 222. DOI: https://doi.org/10.1007/s11082-016-0485-2.

    Article  Google Scholar 

  43. WANG Qing-kai, WU Xing-hua, WU Lei-ming, XIANG Yuan-jiang. Broadband nonlinear optical response in Bi2Se3-Bi2Te3 heterostructure and its application in all-optical switching [J]. AIP Advances, 2019, 9(2): 025022. DOI: https://doi.org/10.1063/1.5082725.

    Google Scholar 

  44. SHAN You-xian, WU Lei-ming, LIAO Yun-long, TANG Jie, DAI Xiao-yu, XIANG Yuan-jiang. A promising nonlinear optical material and its applications for all-optical switching and information converters based on the spatial self-phase modulation (SSPM) effect of TaSe2 nanosheets [J]. Journal of Materials Chemistry C, 2019, 7(13): 3811–3816. DOI: https://doi.org/10.1039/c9tc00333a.

    Article  Google Scholar 

  45. WU Lei-ming, HUANG Wei-chun, WANG Yun-zheng, ZHAO Jin-lai, MA Ding-tao, XIANG Yuan-jiang, LI Jian-qing, PONRAJ J S, DHANABALAN S C, ZHANG Han. 2D tellurium based high-performance all-optical nonlinear photonic devices [J]. Advanced Functional Materials, 2019, 29(4): 1806346. DOI: https://doi.org/10.1002/adfm.201806346.

    Google Scholar 

  46. WU Lei-ming, DONG Yu-ze, ZHAO Jin-lai, MA Ding-tao, HUANG Wei-chun, ZHANG Ye, WANG Yun-zheng, JIANG Xian-tao, XIANG Yuan-jiang, LI Jian-qing, FENG Ya-qing, XU Jia-liang, ZHANG Han. Kerr nonlinearity in 2D graphdiyne for passive photonic diodes [J]. Advanced Materials, 2019, 31(14): 1807981. DOI: https://doi.org/10.1002/adma.201807981.

    Google Scholar 

  47. JIA Yue, LI Zhong-fu, SAEED M, TANG Jie, CAI Hou-zhi, XIANG Yuan-jiang. Kerr nonlinearity in germanium selenide nanoflakes measured by Z-scan and spatial self-phase modulation techniques and its applications in all-optical information conversion [J]. Optical Express, 2019, 27(15): 20857–20873. DOI: https://doi.org/10.1364/oe.27.020857.

    Article  Google Scholar 

  48. JIA Yue, LIAO Yun-long, WU Lei-ming, SHAN You-xian, DAI Xiao-yu, CAI Hou-zhi, XIANG Yuan-jiang, FAN Dian-yuan. Nonlinear optical response, all optical switching, and all optical information conversion in NbSe2 nanosheets based on spatial self-phase modulation [J]. Nanoscale, 2019, 11(10): 4515–4522. DOI: https://doi.org/10.1039/c8nr08966c.

    Article  Google Scholar 

  49. WU Lei-ming, JIANG Xian-tao, ZHAO Jin-lai, LIANG Wei-yuan, LI Zhong-jun, HUANG Wei-chun, LIN Zhi-tao, WANG Yun-zheng, ZHANG Feng, LU Shun-bin, XIANG Yuan-jiang, XU Shi-xiang, LI Jian-qing, ZHANG Han. MX ene-based nonlinear optical information converter for all-optical modulator and switcher [J]. Laser & Photonics Reviews, 2018, 12(12): 1800215. DOI: https://doi.org/10.1002/lpor.201800215.

    Google Scholar 

  50. WU Lei-ming, CHEN Ke-qiang, HUANG Wei-chun, LIN Zhi-tao, ZHAO Jin-lai, JIANG Xian-tao, GE Yan-qi, ZAHNG Feng, XIAO Quan-nan, GUO Zhi-nan, XIANG Yuan-jiang, LI Jian-qing, BAO Qiao-liang, ZHANG Han. Perovskite CsPbX3: A promising nonlinear optical material and its applications for ambient all-optical switching with enhanced stability [J]. Advanced Optical Materials, 2018, 6(19): 1800400. DOI: https://doi.org/10.1002/adom.201800400.

    Google Scholar 

  51. SUN Tian-jiao, SHANG Ya-xuan, QIAN Xuan, JI Yang. Coherent rainbows come from liquids [J]. Acta Physica Sinica, 2018, 67(3): 034205. DOI: https://doi.org/10.7498/aps.67.20172663.

    Google Scholar 

  52. SUN Tian-jiao, QIAN Xuan, SHANG Ya-xuan, LIU Jian, WANG Kai-you, JI Yang. Coherent rainbows from solids [J]. Science Bulletin, 2018, 63(9): 531–534. DOI: https://doi.org/10.1016/j.scib.2018.04.010.

    Article  Google Scholar 

  53. SUN Tian-jiao, QIAN Xuan, SHANG Ya-xuan, LIU Jian, WANG Kai-you, JI Yang. Formation mechanism of coherent rainbows [J]. Acta Phys Sin, 2018, 67(18): 184204. DOI: https://doi.org/10.7498/aps.67.20180888.

    Google Scholar 

  54. ABEYWICKREMA U, BANERJEE P P, BANERJEE N T. Holographic assessment of self-phase modulation and blooming in a thermal medium [J]. Applied Optics, 2015, 54(10): 2857–2865. DOI: https://doi.org/10.1364/AO.54.002857.

    Article  Google Scholar 

  55. WU Yan-ling, WU Qiong, SUN Fei, CHENG Cai, MENG Sheng, ZHAO Ji-min. Emergence of electron coherence and two-color all-optical switching in MoS2 based on spatial self-phase modulation [J]. Proceedings of the National Academy of Sciences of the United States of America, 2015, 112(38): 11800–11805. DOI: https://doi.org/10.1073/pnas.1504920112.

    Article  Google Scholar 

  56. WANG Wen-hui, WU Yan-ling, WU Qiong, HUA Jiao-jiao, ZHAO Ji-min. Coherent nonlinear optical response spatial self-phase modulation in MoSe2 nano-sheets [J]. Scientific reports, 2016, 6: 22072. DOI: https://doi.org/10.1038/srep22072.

    Google Scholar 

  57. ZHANG Qian, CHENG Xue-mei, ZHANG Ying, YIN Xun-li, JIANG Man, CHEN Hao-wei, BAI Jin-tao. Optical limiting using spatial self-phase modulation in hot atomic sample [J]. Optics & Laser Technology, 2017, 88: 54–60. DOI: https://doi.org/10.1016/j.optlastec.2016.09.001.

    Article  Google Scholar 

  58. WU Yan-ling, ZHU Lin-lin, WU Qiong, SUN Fei, WEI Jing-kai, TIAN Yu-chu, WANG Wei-lin, BAI Xu-dong, XU Zuo, ZHAO Ji-min. Electronic origin of spatial self-phase modulation: Evidenced by comparing graphite with C60 and graphene [J]. Applied Physics Letters, 2016, 108(24): 241110. DOI: https://doi.org/10.1063/1.4953827.

    Google Scholar 

  59. WANG Gao-zhong, ZHANG Sai-feng, UMRAN F A, CHENG Xin, DONG Ning-ning, COGHLAN D, CHENG Ya, ZHANG Long, BLAU W J, WANG Jun. Tunable effective nonlinear refractive index of graphene dispersions during the distortion of spatial self-phase modulation [J]. Applied Physics Letters, 2014, 104(14): 141909. DOI: https://doi.org/10.1063/1.4871092.

    Google Scholar 

  60. JIA Shu, VAUGHAN J C, ZHUANG Xiao-wei. Isotropic 3D super-resolution imaging with a self-bending point spread function [J]. Nature Photonics, 2014, 8: 302–306. DOI: https://doi.org/10.1038/nphoton.2014.13.

    Article  Google Scholar 

  61. BALCIUNAS T, FOURCADE - DUTIN C, FAN G, WITTING T, VORONIN A A, ZHELTIKOV A M, GEROME F, PAULUS G G, BALTUSKA A, BENABID F. A strong-field driver in the single-cycle regime based on self-compression in a kagome fibre [J]. Nature Communications, 2015, 6: 6117. DOI: https://doi.org/10.1038/ncomms7117.

    Article  Google Scholar 

  62. JAUREGUI C, LIMPERT J, TÜ NNERMANN A. Highpower fibre lasers [J]. Nature Photonics, 2013, 7(11): 861–867. DOI: https://doi.org/10.1038/nphoton.2013.273.

    Article  Google Scholar 

  63. KUMAR N, KUMAR J, GERSTENKORN C, WANG Rui, CHIU H Y, SMIRL A L, ZHAO Hui. Third harmonic generation in graphene and few-layer graphite films [J]. Physical Review B, 2013, 87(12): 121406. DOI: https://doi.org/10.1103/PhysRevB.87.121406.

    Google Scholar 

  64. VELLEKOOP I M, LAGENDIJK A, MOSK A P. Exploiting disorder for perfect focusing [J]. Nature Photonics, 2010, 4(5): 320–322. DOI: https://doi.org/10.1038/nphoton.2010.3.

    Article  Google Scholar 

  65. ZHAO Li-chen, LIU Jie. Rogue-wave solutions of a three-component coupled nonlinear Schrodinger equation [J]. Phys Rev E Stat Nonlin Soft Matter Phys, 2013, 87(1): 013201. DOI: https://doi.org/10.1103/PhysRevE.87.013201.

    Google Scholar 

  66. RAZZARI L, DUCHESNE D, FERRERA M, MORANDOTTI R, CHU S, LITTLE B E, MOSS D J. CMOS - compatible integrated optical hyper-parametric oscillator [J]. Nature Photonics, 2009, 4(1): 41–45. DOI: https://doi.org/10.1038/nphoton.2009.236.

    Article  Google Scholar 

  67. WU Lei-ming, XIE Zhong-jian, LU lu, ZHAO Jin-lai, WANG Yun-zheng, JIANG Xian-tao, GE Yan-qi, ZHANG Feng, LU Shun-bin, GUO Zhi-nan, LIU Jie, XIANG Yuan-jiang, XU Shi-xiang, LI Jian-qing, FAN Dian-yuan, ZHANG Han. Few-layer tin sulfide: A promising black-phosphorus-analogue 2D material with exceptionally large nonlinear optical response, high stability, and applications in all-optical switching and wavelength conversion [J]. Advanced Optical Materials, 2017, 6(2): 1700985. DOI: https://doi.org/10.1002/adom.201700985.

    Google Scholar 

  68. LI Jian-bo, XIAO Si, LANG Shan, HE Meng-dong, KIM N C, LUO Yong-feng, LUO Jian-hua, CHEN Li-qun. Switching freely between superluminal and subluminal light propagation in a monolayer MoS2 nano-resonator [J]. Optical Express, 2017, 25(12): 13567–13576. DOI: https://doi.org/10.1364/OE.25.013567.

    Article  Google Scholar 

  69. LI Jian-bo, XIAO Si, LANG Shan, HE Meng-dong, KIM N C, LUO Yong-feng, LUO Jian-hua, CHEN Li-qun. Bistable four-wave mixing response in a semiconductor quantum dot coupled to a photonic crystal nanocavity [J]. Optical Express, 2017, 25(21): 25663–25673. DOI: https://doi.org/10.1364/OE.25.025662.

    Article  Google Scholar 

  70. YANG Zhong-jian, ZHAO Qian, XIAO Si, HE Jun. Engineering two-wire optical antennas for near field enhancement [J]. Photonics and Nanostructures-Fundamentals and Applications, 2017, 25: 72–76. DOI: https://doi.org/10.1016/j.photonics.2017.03.007.

    Google Scholar 

  71. GU Bing, WEN Bo, RUI Guang-hao, XUE Yu-xiong, HE Jun, ZHAN Qi-wen, CUI Yi-ping. Nonlinear polarization evolution of hybridly polarized vector beams through isotropic Kerr nonlinearities [J]. Optical Express, 2016, 24(22): 25867–25875. DOI: https://doi.org/10.1364/OE.24.025867.

    Article  Google Scholar 

  72. GU Bing, WEN Bo, RUI Guang-hao, ZHAN Qi-wen, CUI Yi-ping. Varying polarization and spin angular momentum flux of radially polarized beams by anisotropic Kerr media [J]. Optical Letter, 2016, 41(7): 1566–1569. DOI: https://doi.org/10.1364/OL.41.001566.

    Article  Google Scholar 

  73. GU Bing, WEN Bo, RUI Guang-hao, CUI Yi-ping. Nonlinear polarization rotation of two types of vector beams through isotropic Kerr nonlinearities [J]. Journal of Physics: Conference Series, 2017, 867: UNSP 012012. DOI: https://doi.org/10.1088/1742-6596/867/1/012012.

    Google Scholar 

  74. HAN Yu-xiao, GU Bing, ZHANG Shuai, RUI Guang-hao, HE Jun, CUI Yi-ping. Identification and separation of local and nonlocal optical nonlinear refraction effects: theory and experiment [J]. Chinese Optics Letters, 2019, 17(6): 061901. DOI: https://doi.org/10.3788/COL201917.061901.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Hunan Key Laboratory of Super Microstructure and Ultrafast Process, School of Physics and Electronics, Central South University, Changsha, 410083, China

    Xue-jun Zhang  (张学军), Zhen-hua Yuan  (袁振华), Rui-xin Yang  (杨瑞欣), Yi-lin He  (何奕林), Ying-lin Qin  (秦应霖), Si Xiao  (肖思) & Jun He  (何军)

Authors
  1. Xue-jun Zhang  (张学军)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhen-hua Yuan  (袁振华)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Rui-xin Yang  (杨瑞欣)
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yi-lin He  (何奕林)
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Ying-lin Qin  (秦应霖)
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Si Xiao  (肖思)
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Jun He  (何军)
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Foundation item: Project(6187031976) supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, Xj., Yuan, Zh., Yang, Rx. et al. A review on spatial self-phase modulation of two-dimensional materials. J. Cent. South Univ. 26, 2295–2306 (2019). https://doi.org/10.1007/s11771-019-4174-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-019-4174-8

Key words

关键词

Search

Navigation