共振介质中光怪波生成机制、非线性隧穿及级联压缩效应的研究

In the process of interactions between light and matter, the resonant absorption system is the main theoretical program to achieve optical pulses information capture, storage and release. So investigations on propagations of optical pulses in resonant media are of practical importance and have application values. This project aims to investigate propagation properties of optical pulses in resonant media in three aspects: generative mechanism of optical rogue waves, nonlinear tunneling and cascade compression effects. Main contents and innovations are: (1) Two types of new generative mechanisms of optical rogue waves in resonant media will be proposed: exciting optical rogue waves from constant pumping source and cnoidal wave backgrounds; (2) The conditions for nonlinear tunneling effects when nonautonomous solitons and rogue waves pass through dispersion and nonlinear barriers or wells in resonant media will be deduced; (3) The cascade compression effects and those stabilities when nonautonomous solitons and rogue waves pass through three types of nonlinear barriers or wells with different backgrounds in resonant media will be analyzed; (4) The interactions between neighboring solitons in cascade compression system will be investigated. The research methods and results of this project will offer theory supports for designing all-optical logic switch and enlarging optical pulses transmission capacities and stabilities, provide thinking guidelines for other propagation properties for optical pulses in resonant media.

由于共振吸收体系是在光与物质相互作用过程中实现光脉冲信息俘获、存储与释放的主要理论方案，所以共振介质中光脉冲传输规律的研究有着重要的实际意义和应用价值。本课题拟从光学怪波生成机制、非线性隧穿和级联压缩效应三个方面对共振介质中光脉冲传输特性进行研究。主要研究内容和创新点是：(1) 提出共振介质中光怪波的两种新的生成机制：恒定泵浦源和椭圆余弦波背景激发光怪波；(2)推导共振介质中非自治孤子和怪波通过色散和非线性势垒(阱)时发生非线性隧穿效应所需的条件；(3)分析共振介质中非自治孤子和怪波通过三种不同背景下的非线性势垒(阱)时的级联压缩效应并分析其稳定性；(4)研究级联压缩系统中相邻孤子的相互作用。本课题的研究方法与研究结果将为设计共振介质中全光逻辑开关、增大通信容量以及增强通信稳定性提供理论支持, 并为研究共振介质中光脉冲其它传输规律提供思路指引。

共振吸收体系是在光与物质相互作用过程中实现光脉冲信息俘获、存储与释放的主要理论方案，本项目拟从光学怪波生成机制，孤子非线性隧穿和级联压缩效应等方面研究共振介质中光脉冲传输规律，项目的研究方法与研究结果在设计共振介质中全光逻辑开关、增大通信容量以及增强通信稳定性等方面有一定的理论意义, 并为研究共振介质中光脉冲其它传输规律提供了一定的思路指引。项目拟研究的模型主要为广义非线性Schrodinger-Maxwell-Bloch(GNLS-MB)模型、广义MB模型、广义NLS模型以及它们的耦合和非自治形式，主要研究内容为分析模型可积性质，并从恒定泵浦源和椭圆余弦波两种不同背景下推导模型的孤立子、呼吸子以及怪波解并分析传输性质。项目执行期间，课题组共发表SCI期刊论文15篇，其中二区期刊9篇，2篇论文入选ESI高被引论文。在研究模型可积性分析，模型孤立子、呼吸子和怪波生成机制、传输机理分析等方面取得了一定的结果。