ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
Adiabatic evolution of optical beams of arbitrary shapes in nonlocal nonlinear media |
Jiarui Che(车佳瑞)1,2, Yuxin Zheng(郑喻心)1,2, Guo Liang(梁果)1,2,†, and Qi Guo(郭旗)1,‡ |
1 School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510631, China; 2 School of Electrical and Electronic Engineering, Shangqiu Normal University, Shangqiu 476000, China |
|
|
Abstract We discuss evolution of Hermite-Gaussian beams of different orders in nonlocal nonlinear media whose characteristic length is set as different functions of propagation distance, using the variational approach. It is proved that as long as the characteristic length varies slowly enough, all the Hermite-Gaussian beams can propagate adiabatically. When the characteristic length gradually comes back to its initial value after changes, all the Hermite-Gaussian beams can adiabatically restore to their own original states. The variational results agree well with the numerical simulations. Arbitrary shaped beams synthesized by Hermite-Gaussian modes can realize adiabatic evolution in nonlocal nonlinear media with gradual characteristic length.
|
Received: 25 March 2023
Revised: 09 May 2023
Accepted manuscript online: 18 May 2023
|
PACS:
|
42.65.Tg
|
(Optical solitons; nonlinear guided waves)
|
|
42.65.Jx
|
(Beam trapping, self-focusing and defocusing; self-phase modulation)
|
|
Fund: Project supported by the Key Research Fund of Higher Education of Henan Province, China (Grant No. 23A140021), the Open Subject of the Key Laboratory of Weak Light Nonlinear Photonics of Nankai University (Grant No. OS21-3), and the International Scientific and Technological Cooperation Projects of Henan Province, China (Grant No. 232102520001). |
Corresponding Authors:
Guo Liang, Qi Guo
E-mail: liangguo0916@163.com;guoq@scnu.edu.cn
|
Cite this article:
Jiarui Che(车佳瑞), Yuxin Zheng(郑喻心), Guo Liang(梁果), and Qi Guo(郭旗) Adiabatic evolution of optical beams of arbitrary shapes in nonlocal nonlinear media 2023 Chin. Phys. B 32 104207
|
[1] Boyd R W 2008 Nonlinear Optics (Amsterdam: Elsevier) [2] Assanto G 2012 Nematicons: Spatial Optical Solitons in Nematic Liquid Crystals (Chichester: John Wiley and Sons) [3] Dreischuh A, Neshev D N, Petersen D E, Bang O and Krolikowski W 2006 Phys. Rev. Lett. 96 043901 [4] Rotschild C, Cohen O, Manela O, Segev M and Carmon T 2005 Phys. Rev. Lett. 95 213904 [5] Suter D and Blasberg T 1993 Phys. Rev. A 48 4583 [6] Guo Q, Lu D and Deng D 2015 Advances in Nonlinear Optics (Berlin: De Gruyter) 227 [7] Marcucci G, Pierangeli D, Gentilini S, Ghofraniha N, Chen Z and Conti C 2019 Adv. Phys. X 4 1662733 [8] Krolikowski W, Bang O, Briedis D, et al. 2005 Proc. SPIE 5949 59490B [9] Liang G, Zhang H, Fang L, Shou Q, Hu W and Guo Q 2020 Laser Photon. Rev. 14 2000141 [10] Zhong L, Li Y, Chen Y, Hong W, Hu W and Guo Q 2017 Sci. Rep. 7 41438 [11] Buccoliero D, Desyatnikov A S, Krolikowski W and Kivshar Y S 2008 Opt. Lett. 33 198 [12] Buccoliero D, Desyatnikov A S, Krolikowski W and Kivshar Y S 2007 Phys. Rev. Lett. 98 053901 [13] Nikolov N I, Neshev D, Królikowski W, Bang O, Rasmussen J J and Christiansen P L 2004 Opt. Lett. 29 286 [14] Królikowski W, Saffman M, Luther-Davies B and Denz C 1998 Phys. Rev. Lett. 80 3240 [15] Chen P, Wang H, Chen M and Zhang L 2020 Opt. Commun. 459 124915 [16] Chen Y, Ge L, Wang X and Shen M 2022 Commun. Theor. Phys. 74 025501 [17] Bang O, Krolikowski W, Wyller J and Rasmussen J J 2002 Phys. Rev. E 66 046619 [18] Snyder A W and Mitchell D J 1997 Science 276 1538 [19] Anderson D 1983 Phys. Rev. A 27 3135 [20] Liang G, Hong W, Luo T, Wang J, Li Y, Guo Q, Hu W and Christodoulides D N 2019 Phys. Rev. A 99 063808 [21] Liang G, Kong X, Li Y and Wang Q 2021 Opt. Express 29 9618 [22] Haus H A 1984 Waves and Fields in Optoelectronics (Englewood Cliffs, NJ: Prentice-Hall) p. 101 [23] Shou Q, Liang Y, Jiang Q, Zheng Y, Lan S, Hu W and Guo Q 2009 Opt. Lett. 34 3523 [24] Rasmussen P D, Bang O and Królikowski W 2005 Phys. Rev. E 72 066611 [25] Hu W, Zhang T, Guo Q, Xuan L and Lan S 2006 Appl. Phys. Lett. 89 071111 [26] Liang G, Liu J, Hu W and Guo Q 2022 Appl. Sci. 12 2386 [27] Qin J, Dong G and Malomed B A 2015 Phys. Rev. Lett. 115 023901 [28] Liang G, Hong W and Guo Q 2016 Opt. Express 24 28784 [29] Wyller J, Krolikowski W, Bang O and Rasmussen J J 2002 Phys. Rev. E 66 066615 [30] Guo Q, Luo B and Chi S 2006 Opt. Commun. 259 336 [31] Królikowski W and Bang O 2000 Phys. Rev. E 63 016610 [32] Shankar R 1994 Principles of Quantum Mechanics 2nd edn. (New York: Plenum) p. 478 [33] Liang G and Wang Q 2021 New J. Phys. 23 103036 |
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|