Airy缠绕孤子的产生及操控
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摘要
利用分步傅里叶方法数值模拟研究了相同振幅的平行输入正反Airy光束在Kerr介质中脱落孤子的演化,并进一步研究了高阶效应对脱落孤子的影响。研究结果发现:Kerr介质中正反Airy光束由于相互作用,将产生类似于DNA结构的缠绕孤子,通过调整初始输入的振幅和间距,可以影响缠绕孤子的特性。另外发现:当存在单个高阶效应(三阶色散,拉曼,自陡)或者同时存在多个高阶效应时,缠绕孤子在时域和频域的演化会发生很大影响。研究结果可以为调控Airy光束产生的脱落孤子提供一些理论基础,也可以为Airy光束在超连续谱产生和宽带光源方面提供潜在的应用前景。
When a tail-leading Airy beam and a tail-trailing Airy beam with the same amplitude parallelly propagate in a Kerr medium, the evolution of shedding solitons was numerically investigated based on the split-step Fourier method. Moreover, the effect of high-order effects on rewinding solitons was further studied. It is demonstrated that rewinding solitons with the similar structure of DNA will be generated due to the interaction of a tail-leading Airy beam and a tail-trailing Airy beam. By adjusting the initial input amplitude and space interval, the characteristics of rewinding solitons can be influenced. Furthermore, considering single high-order effect(third-order dispersion,Raman, self-steeping) or multiple high-order effects, a great influence on the evolution of rewinding solitons will generate in the temporal and spectral domain. The results can provide some theoretical basis for manipulating rewinding solitons of a Airy beam, and also have potential application prospects in the generation of supercontinuum spectrum and the broadband light source.
When a tail-leading Airy beam and a tail-trailing Airy beam with the same amplitude parallelly propagate in a Kerr medium, the evolution of shedding solitons was numerically investigated based on the split-step Fourier method. Moreover, the effect of high-order effects on rewinding solitons was further studied. It is demonstrated that rewinding solitons with the similar structure of DNA will be generated due to the interaction of a tail-leading Airy beam and a tail-trailing Airy beam. By adjusting the initial input amplitude and space interval, the characteristics of rewinding solitons can be influenced. Furthermore, considering single high-order effect(third-order dispersion,Raman, self-steeping) or multiple high-order effects, a great influence on the evolution of rewinding solitons will generate in the temporal and spectral domain. The results can provide some theoretical basis for manipulating rewinding solitons of a Airy beam, and also have potential application prospects in the generation of supercontinuum spectrum and the broadband light source.
引文
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[19] Cai W Y, Mills M S, Christodoulides D N, et al. Soliton manipulation using Airy pulses[J]. Opt Commun, 2014,316:127-131.
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[21] Zhu K Z, Jia W G, Qian C, et al. Dispersion effects on the interaction of Airy beams and dark solitons[J].Journal of Modern Optics, 2016, 64:1-6.
[22] Zhu Kunzhan, Jia Weiguo, Zhang Kui, et al. Research on the interaction of Airy pulse and soliton in the anomalous dispersion region[J]. Acta Phys Sin, 2016,65(2):024208.(in Chinese)
[23] Chen C D, Chen B, Peng X, et al. Propagation of AiryGaussian beam in Kerr medium[J]. Journal of Optics,2015, 17(3):035504.
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[25] Zhou M L, Peng Y L, Chen C D, et al. Interaction of Airy-Gaussian beams in saturable media[J]. Chinese Phys B, 2016, 25(8):084102.
[26] Zhou M L, Chen C D, Chen B, et al. Propagation of an Airy-Gaussian beam in uniaxial crystals[J]. Chinese Phys B, 2016, 24(12):124102.
[27] Lu Keqing, Hu Kai, Chen Weijun, et al. Interactions of two Airy beams in Kerr and saturable nonlinear media[J]. Journal of Tianjin Polytechnic University, 2014,34(4):80-84.(in Chinese)
[28] Zhang Xiaping. Bound states of breathing AiryGaussian beams in nonlocal nonlinear medium[J].Optics Communications, 2016, 367(15):364-371.
[29] Wen B, Deng Y B, Shi X H, et al. Evolution of finiteenergy Airy pulse interaction with high-power soliton pulse in optical fiber with higher-order effects[J].Optik, 2018, 152:61-68.
[2] Bandres M A, Rodriguezlara B M. Nondiffracting accelerating waves:weber waves and parabolic momentum[J]. New J Phys, 2013, 15:013054.
[3] Aleahmad P, Miri M A, Mills M S, et al.Christodoulides, fully vectorial accelerating diffractionfree helmholtz beams[J]. Phys Rev Lett, 2012, 109(20):203902.
[4] Ellenbogen T, Voloch-Bloch N, Ganany-Padowicz A, et al. Nonlinear generation and manipulation of Airy beams[J]. Nat Photonics, 2009, 3(7):395-398.
[5] Khilo N A, Belyi V N, Kazak N S, et al. Acoustooptic refraction-influenced generation of tunable incomplete Airy beams[J]. J Opt, 2014, 16(8):085702.
[6] Polynkin P, Kolesik M, Moloney J V, et al. Curved plasma channel generation using ultraintense Airy beams[J]. Science, 2009, 324(5924):229-232.
[7] Baumgartl J, Mazilu M, Dholakia K. Optically mediated particle clearing using Airy wavepackets[J]. Nat photonics, 2008, 2(11):675-678.
[8] Abdollahpour D, Suntsov S, Papazoglou D G, et al.Spatiotemporal Airy light bullets in the linear and nonlinear regimes[J]. Phys Rev Lett, 2010, 105(25):253901.
[9] Chen C, Yang H M, Kavehrad M, et al. Propagation of radial Airy array beams through atmospheric turbulence[J]. Optics&Lasers in Engineering, 2014, 52:106-114.
[10] Cai W Y, Mills M S, Christodoulides D N, et al.Soliton manipulation using Airy pulses[J]. Opt Commun, 2014, 316:127-131.
[11] Cai W Y, Wang L, Wen S C. Evolution of airy pulses in the present of third order dispersion[J]. Optik, 2013,124(22):5833-5836.
[12] Wang S F, Fan D F, Bai X K, et al. Propagation dynamics of airy pulses in optical fibers with periodic dispersion modulation[J]. Phys Rev A, 2014, 89(3):023802.
[13] Zhang L F, Liu K, Zhong H Z, et al. Effect of initial frequency chirp on Airy pulse propagation in an optical fiber[J]. Opt Express, 2015, 23(3):2566-2576.
[14] Qin Xulei, Li Xuejian, Chen Weijun, et al. Formation and control of Airy soliton in Kerr media[J]. Chinese Journal of Luminescence, 2016, 37(10):1281-1286.(in Chinese)
[15] Zhang L F, Zhong H Z. Modulation instability of finite energy Airy pulse in optical fiber[J]. Opt Express,2014, 22(14):17107-17115.
[16] Ament C, Polynkin P, Moloney J V. Supercontinuum generation with femtosecond self-healing Airy pulses[J]. Phys Rev Lett, 2011, 107(24):243901.
[17] Yu Wenlong, Zhang Lifu, Tan Chao, et al. Small-scale self-focusing of finite energy Airy beam[J]. Acta Photonica Sinica, 2014, 43(5):0519001.(in Chinese)
[18] Hu Y, Tehranchi A, Wabnitz S, et al. Improved intrapulse raman scattering control via asymmetric Airy pulses[J]. Phys Rev Lett, 2015, 114(7):073901.
[19] Cai W Y, Mills M S, Christodoulides D N, et al. Soliton manipulation using Airy pulses[J]. Opt Commun, 2014,316:127-131.
[20] Shi X H, Tan C, Bai Y F, et al. Dressed dyanmics of two time-reversed shapes of Airy pulses in a relaxing nonlinear medium[J]. J Opt Soc Am B, 2015, 32(9):1816-1823.
[21] Zhu K Z, Jia W G, Qian C, et al. Dispersion effects on the interaction of Airy beams and dark solitons[J].Journal of Modern Optics, 2016, 64:1-6.
[22] Zhu Kunzhan, Jia Weiguo, Zhang Kui, et al. Research on the interaction of Airy pulse and soliton in the anomalous dispersion region[J]. Acta Phys Sin, 2016,65(2):024208.(in Chinese)
[23] Chen C D, Chen B, Peng X, et al. Propagation of AiryGaussian beam in Kerr medium[J]. Journal of Optics,2015, 17(3):035504.
[24] Peng Y L, Peng X, Chen B, et al. Interaction of Airy–Gaussian beams in kerr media[J]. Optics Communications, 2016, 359(15):116-122.
[25] Zhou M L, Peng Y L, Chen C D, et al. Interaction of Airy-Gaussian beams in saturable media[J]. Chinese Phys B, 2016, 25(8):084102.
[26] Zhou M L, Chen C D, Chen B, et al. Propagation of an Airy-Gaussian beam in uniaxial crystals[J]. Chinese Phys B, 2016, 24(12):124102.
[27] Lu Keqing, Hu Kai, Chen Weijun, et al. Interactions of two Airy beams in Kerr and saturable nonlinear media[J]. Journal of Tianjin Polytechnic University, 2014,34(4):80-84.(in Chinese)
[28] Zhang Xiaping. Bound states of breathing AiryGaussian beams in nonlocal nonlinear medium[J].Optics Communications, 2016, 367(15):364-371.
[29] Wen B, Deng Y B, Shi X H, et al. Evolution of finiteenergy Airy pulse interaction with high-power soliton pulse in optical fiber with higher-order effects[J].Optik, 2018, 152:61-68.