艾里波包的演化特性及其在光通讯中的应用

Evolutionary properties of Airy wave packets and their applications in optical communications

求解一般线性势场与帐篷型线性势场内粒子的本征波函数,分析两类初始艾里波包的自由演化过程,讨论以艾里波包作为光信息载体时波包在介质中的传输特性.首先讨论了一般线性势本征波函数解的核心形式可以表示为标准艾里函数,并考察了艾里波包在自由空间传播的孤子性质和自加速行为;继而计算了帐篷型线性势的双向艾里波包本征解,讨论了不同参数下双向艾里波包的加速干涉扩散行为;最后将以上两类艾里波包的演化性质应用于电磁场艾里孤子波在波导材料介质中的传输行为研究,讨论了艾里光孤子在波导介质中传播时电场分布的横向加速偏转和干涉现象.

The eigenwave functions of the general linear potential field and the tent-type linear potential field are solved,the free evolutions of these two Airy wave packets are analyzed,and the propagation properties of Airy wave packets used as optical information carriers are investigated in the media.Firstly,the core form of the solution of the intrinsic wave function in the general linear potential field can be expressed as the standard Airy function,and the characteristics of the soliton and self-accelerating properties of Airy wave packet propagating in free space are discussed.Then the eigenwave function of the bidirectional airy wave packet under the tent type linear potential is calculated and the accelerated interference diffusion behavior of the bidirectional Airy wave packet under different parameters is discussed.The solutions of the above two kinds of Airy wave packets are applied to the dielectric transmission problem of electromagnetic field.The accelerated transverse deflection and transverse interference of the electric field of Airy wave packets in the medium are discussed.