摘要
研究了艾里-高斯光束在饱和非线性介质中的传输与交互作用.结果表明,入射光为单艾里-高斯光束时,在一定功率范围内,调节初始振幅与光场分布,可形成传输方向可控的呼吸孤子.当初始振幅增加时,孤子的呼吸周期先减小后增大.入射光为两艾里-高斯光束时,同相位光束相互吸引,两光束中心位置两侧附近产生呼吸孤子和对称孤子对.反相位光束相互排斥,中心位置两侧仅产生对称的孤子对.光场分布越趋于高斯分布,两艾里-高斯光束相互作用就越强,孤子对的数目越少.
The propagation and interactions of Airy-Gaussian beams in a saturable nonlinear medium are investigated numerically based on the split-step Fourier transform method.We show that the propagation of a single Airy-Gaussian beam in the saturable nonlinear medium can generate breathing solitons under steady state conditions.The generation and propagation of these breathing solitons can be affected by the initial amplitude and the field distribution factor of the single Airy-Gaussian beam.In a certain power range,these breathing solitons propagate along the acceleration direction with a controllable tilted angle.In the domain existing in these breathing solitons and for a given value of the field distribution factor of the single Airy-Gaussian beam,when the initial amplitude of the single Airy-Gaussian beam increases gradually,the periodicity of these breathing solitons becomes from small to larger and the tilted angle of these breathing solitons increases monotonically.When the value of the initial amplitude of the single Airy-Gaussian beam is given,the bigger the value of the field distribution factor of the single Airy-Gaussian beam,the smaller the tilted angle of these breathing solitons.Furthermore,the stability of these breathing solitons has been investigated by using the beam propagation method,and it has been found that they are stable.We find that the propagations of two Airy-Gaussian beams in the saturable nonlinear medium can generate not only soliton pairs but also interactions between two Airy-Gaussian beams.When the two Airy-Gaussian beams interact with each other,it is found that the in-phase Airy-Gaussian beams attract each other and exhibit a single breathing soliton with strong intensity in the beam center and some symmetric soliton pairs with weak intensity near both sides of the beam center.The smaller the interval between the two incident Airy-Gaussian optical components,the stronger the attraction between two Airy-Gaussian beams,and the less the numbers of the soliton pairs.The energies of both the main lobes of two Airy-Gaussian beams and the single breathing soliton increase with the value of the field distribution factor of two Airy-Gaussian beams.On the other hand,the out-of-phase Airy-Gaussian beams repel each other and exhibit only symmetric soliton pairs on both sides of the beam center.Our analysis indicates that the repellant of two out-of-phase Airy-Gaussian beams becomes big when the interval between two incident Airy-Gaussian optical components decreases and the number of the soliton pairs becomes less when the field distributions of two beams are close to the Gaussian distribution.
作者
陈卫军
卢克清
惠娟利
张宝菊
Chen Wei-Jun Lu Ke-Qing Hui Juan-Li Zhang Bao-Ju(Tianjin Key Laboratory of Optoelectronic Detection Technology and Systems, Tianjin Polytechnic University, Tianjin 300387, China Institute of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China)
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2016年第24期58-65,共8页
Acta Physica Sinica
基金
天津市自然科学基金(批准号:13JCYBJC16400)资助的课题~~
