Fundamental and dressed annular solitons in saturable nonlinearity with parity-time symmetric Bessel potential

doi:10.1088/1674-1056/27/4/044203

中国物理B ›› 2018, Vol. 27 ›› Issue (4): 44203-044203.doi: 10.1088/1674-1056/27/4/044203

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Fundamental and dressed annular solitons in saturable nonlinearity with parity-time symmetric Bessel potential

Hong-Cheng Wang(王红成), Ya-Dong Wei(魏亚东), Xiao-Yuan Huang(黄晓园), Gui-Hua Chen(陈桂华), Hai Ye(叶海)

School of Electrical Engineering and Intelligentization, Dongguan University of Technology, Dongguan 523808, China

收稿日期:2017-09-07 修回日期:2017-12-18 出版日期:2018-04-05 发布日期:2018-04-05
通讯作者: Hong-Cheng Wang E-mail:wanghc@dgut.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61308019), the Guangdong Provincial Natural Science Foundation, China (Grant Nos. 2015A030313650 and 2014A030310262), and the Guangdong Provincial Science and Technology Planning Program, China (Grant No. 2017A010102019).

Fundamental and dressed annular solitons in saturable nonlinearity with parity-time symmetric Bessel potential

Hong-Cheng Wang(王红成), Ya-Dong Wei(魏亚东), Xiao-Yuan Huang(黄晓园), Gui-Hua Chen(陈桂华), Hai Ye(叶海)

School of Electrical Engineering and Intelligentization, Dongguan University of Technology, Dongguan 523808, China

Received:2017-09-07 Revised:2017-12-18 Online:2018-04-05 Published:2018-04-05
Contact: Hong-Cheng Wang E-mail:wanghc@dgut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61308019), the Guangdong Provincial Natural Science Foundation, China (Grant Nos. 2015A030313650 and 2014A030310262), and the Guangdong Provincial Science and Technology Planning Program, China (Grant No. 2017A010102019).

摘要/Abstract

摘要： We theoretically study the existence and stability of optical solitons in saturable nonlinearity with a two-dimensional parity-time (PT) symmetric Bessel potential. Besides the fundamental solitons, a novel type of dressed soliton, whose intensity looks like a ring dressed on an intensity hump, are presented. It is found that both the fundamental solitons and dressed solitons can exist when the propagation constant is beyond a certain critical value. The propagation stability is investigated with a linear stability analysis corroborated by a beam propagation method. All the fundamental solitons are stable, while dressed solitons are unstable for low values of saturable parameter. As the value of saturable parameter increases, the dressed solitons tend to be stable at high powers.

关键词: optical solitons, parity-time symmetry, optical lattice, linear stability

Abstract: We theoretically study the existence and stability of optical solitons in saturable nonlinearity with a two-dimensional parity-time (PT) symmetric Bessel potential. Besides the fundamental solitons, a novel type of dressed soliton, whose intensity looks like a ring dressed on an intensity hump, are presented. It is found that both the fundamental solitons and dressed solitons can exist when the propagation constant is beyond a certain critical value. The propagation stability is investigated with a linear stability analysis corroborated by a beam propagation method. All the fundamental solitons are stable, while dressed solitons are unstable for low values of saturable parameter. As the value of saturable parameter increases, the dressed solitons tend to be stable at high powers.

Key words: optical solitons, parity-time symmetry, optical lattice, linear stability

中图分类号: (Optical solitons; nonlinear guided waves)

42.65.Tg

42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation) 42.65.Wi (Nonlinear waveguides)

王红成, 魏亚东, 黄晓园, 陈桂华, 叶海. Fundamental and dressed annular solitons in saturable nonlinearity with parity-time symmetric Bessel potential[J]. 中国物理B, 2018, 27(4): 44203-044203.

Hong-Cheng Wang(王红成), Ya-Dong Wei(魏亚东), Xiao-Yuan Huang(黄晓园), Gui-Hua Chen(陈桂华), Hai Ye(叶海). Fundamental and dressed annular solitons in saturable nonlinearity with parity-time symmetric Bessel potential[J]. Chin. Phys. B, 2018, 27(4): 44203-044203.

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Fundamental and dressed annular solitons in saturable nonlinearity with parity-time symmetric Bessel potential

Fundamental and dressed annular solitons in saturable nonlinearity with parity-time symmetric Bessel potential

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