Pulse propagation and soliton formation in nonlinear Photonic Band Gap materials

非线性光子带隙材料中的脉冲传播和孤子形成

• 批准号: 26333225
• 负责人: Professor Dr. Kurt Busch
• 金额: --
• 依托单位: Institut für Physik
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2006
• 资助国家: 德国
• 起止时间: 2005-12-31 至 2007-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/26333225?language=en
• 关键词: Pulse; propagation; soliton; formation; nonlinear

Periodically microstructured dielectric materials whose linear properties are characterized through a photonic bandstructure that - for appropriate choices of the relevant parameters - may exhibit a photonic band gap (PBG), a frequency range where ordinary (linear) propagation is disallowed. However, in the presence of optical nonlinearities, wave propagation for frequencies inside the PBG may be realized for sufficiently intense pulses in the form of gap-solitons. Recent progress in mircofabrication technology allows one to manufacture Photonic Band Gap materials whose constituents exhibit sizeable nonlinearities so that nonlinear PBG materials will become increasingly important both in fundamental studies of nonlinear effects and advanced applications in all-optical information processing and logic gates. Within this project, we will investigate the propagation of pulses in nonlinear PBG materials and their interaction with defects as well as with each other. Through a combination of numerical simulations and variational techniques, we will study the evolution of nonlinear pulses into gap-solitons where - due to the strong multiple scattering near the PBG - we expect strongly non-Markovian radiation dynamics to occur. We will carry out similar investigations for the trapping of soliton at linear and nonlinear defects within the PBG material and how to control trapped solitons through interactions with propagating gap-solitons. These investigations will be of significance for the realization of practical all-optical technologies as well as provide novel insights into basic nonlinear phenomena which -owing to the universal nature of nonlinear processes - may have implications to other nonlinear systems such as solitons in Bose-Einstein condensates in optical lattices.

周期性微结构介电材料，其线性特性通过光子带结构来表征，对于相关参数的适当选择，光子带结构可以表现出光子带隙（PBG），即不允许普通（线性）传播的频率范围。然而，在存在光学非线性的情况下，对于足够强的脉冲，可以以间隙孤子的形式实现PBG内部频率的波传播。近年来，随着微加工技术的发展，光子带隙材料的成分呈现出相当大的非线性，非线性光子带隙材料在非线性效应的基础研究和全光信息处理及逻辑门的高级应用中将变得越来越重要。在这个项目中，我们将研究脉冲在非线性PBG材料中的传播以及它们与缺陷的相互作用。通过数值模拟和变分技术相结合，我们将研究非线性脉冲到间隙孤子的演化-由于PBG附近的强多重散射-我们预计会发生强烈的非马尔可夫辐射动力学。我们将进行类似的调查，在PBG材料内的线性和非线性缺陷的孤子的捕获，以及如何控制捕获的孤子通过与传播的间隙孤子的相互作用。这些研究对于实现实用的全光学技术具有重要意义，同时也为基本的非线性现象提供了新的见解，由于非线性过程的普遍性，这些现象可能对其他非线性系统（如光晶格中玻色-爱因斯坦凝聚体中的孤子）产生影响。