量子电子学报, 2016, 33 (5): 584, 网络出版: 2016-10-21   

强非局域非线性介质中1+1维厄米-高斯损耗光孤子

1+1 dimension Hermite-Gauss lossy solitons in strongly nonlocal nonlinear media
作者单位
河南工业职业技术学院机电自动化学院, 河南 南阳 473009
摘要
用变分法研究了强非局域非线性有损耗介质中1+1维厄米高斯光束的传输特性,得到了 光束参量在介质中传输所遵循的规律及其形成损耗光孤子所需要的临界功率。当初始功率接近 临界功率时,光束的束宽按准正弦或准余弦规律作准周期展宽变化。通过比较,利用变分法所 得到的解析解与数值解在光束传输一段较长距离内都符合的比较好。
Abstract
The propagation properties of 1+1 dimension Hermite-Gauss beam in nonlocal nonlinear lossy media are investigated by using the variational method. The laws of beam parameters followed when propagating in medium and the critical power required by forming the lossy solitons are obtained. When the initial power is close to the critical power, the beam width expands periodically and obeys the quasi-sine or quasi-cosine law. By comparison, the analytical and numerical solutions using the variational method are in good agreement with a longer distance in beam propagation.
参考文献

[1] Snyder A W, Mitchell D J. Accessible solitons[J]. Science, 1997, 27(6): 1538-1541.

[2] Conti C, Peccianti M, Assanto G. Route to nonlocality and observation of accessible solitons[J]. Phys. Rew. Lett., 2003, 91(7): 073901.

[3] Conti C, Peccianti M, Assanto G. Observation of optical spatial solitons in a highly nonlocal medium[J]. Phys. Rev. Lett., 2004, 92(11): 113902.

[4] Rotschild C, Cohen O, Manela O, et al. Solitons in nonlinear media with an infinite range of nonlocality: First observation of coherent elliptic solitons and of vortex-ring solitons[J]. Phys. Rew. Lett., 2005, 95(21): 213904.

[5] Peccianti M, Conti C, Assanto G. All-optical switching and logic gating with spatial solitons in liquid crystals[J]. Appl. Phys. Lett., 2002, 81(18): 3335-3337.

[6] Peccianti M, Brzdakiewicz K A, Assanto G. Nonlocal spatial soliton interactions in nematic liquid crystals[J]. Opt. Lett., 2002, 27(16): 1460-1462.

[7] Guo Qi, Luo Boren, Yi Fahuai, et al. Large phase shift of nonlocal optical solitons[J]. Phys. Rev. E, 2004, 69(1): 016602.

[8] Peccianti M, Rossi A D, Assanto G, et al. Electrically assisted self-confinement and waveguiding in planar nematic liquid crystal cells[J]. Appl. Phys. Lett., 2000, 77(1): 7-9.

[9] Huang Yi, Guo Qi, Cao Juoneng. Optical beams in lossy nonlocal Kerr media[J]. Opt. Commun., 2006, 261: 175-180.

[10] Hu Wei, Zhang Tao, Guo Qi. Nonlocality-controlled interaction of spatial solitons in nematic liquid crystals[J]. Appl. Phys. Lett., 2006, 89(7): 071111.

[11] Buccoliero D, Desyatnikov A S, Krolikowski W, et al. Laguerre and Hermite soliton clusters in nonlocal nonlinear media[J]. Phys. Rev. Lett., 2007, 98(5): 053901.

[12] Deng Dongmei, Zhao Xin, Guo Qi, et al. Hermite-Gaussian breathers and solitons in strongly nonlocal nonlinear media[J]. J. Opt. Soc. Am. B, 2007, 24(9): 2537-2544.

[13] Zhang Xiaping, Guo Qi. Analytical solution in the Hermite Gaussian form of the beam propagating in nonlocal Kerr media[J]. Acta Physica Sinina (物理学报), 2005, 54(7): 3178-3182 (in Chinese).

[14] Bai Dongfeng, Guo Qi, Hu Wei. Variational investigation of Hermite-Gaussian beam propagating in nonlocal Kerr media[J]. Acta Physica Sinina (物理学报), 2008, 57(9): 5684-5689 (in Chinese).

[15] Bai Dongfeng, Huang Changchun, He Junfeng, et al. Variational solutions for Hermite-Gaussian solitons in nonlocal nonlinear media[J]. Chin. Phys. B, 2009, 18(7): 2853-2857.

[16] Ouyang Shigen, Guo Qi, Lan Shen, et al. The solutions of the strongly nonlocal spatial solitons with several types of nonlocal response functions[J]. Chin. Phys., 2007, 1(8): 2325-2330.

[17] Ouyang Shigen, Guo Qi, Lan Shen, et al. Conservation laws of the generalized nonlocal nonlinear Schrdinger equation[J]. Chin. Phys., 2007, 1(8): 2331-2337.

[18] Bai Zhiyong, Deng Dongmei, Guo Qi. Elegant Ince Gaussian beams in a quadratic-index medium[J]. Chin. Phys. B, 2011, 20(9): 094202.

[19] Bai Dongfeng, Wang Yi, Hua Xianli. Variational investigation of beam propagation in nonlocal optical lattice[J]. Laser and Optoelectronics Progress (激光与光电子学进展), 2013, 50(11): 111901 (in Chinese).

[20] Xu Zhiyong, Wang Xinghua. Propagation properties of orthogonal polarization double Hermite-Gaussian beams in strongly nonlocal medium with exponential-decay response[J]. Chinese Journal of Quantum Electronics(量子电子学报), 2015, 32(5): 607-612(in Chinese).

白东峰, 卢宏炎. 强非局域非线性介质中1+1维厄米-高斯损耗光孤子[J]. 量子电子学报, 2016, 33(5): 584. BAI Dongfeng, LU Hongyan. 1+1 dimension Hermite-Gauss lossy solitons in strongly nonlocal nonlinear media[J]. Chinese Journal of Quantum Electronics, 2016, 33(5): 584.

本文已被 4 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!