Mathematical Sciences: Optical Solitons and Semiclassical Solutions of the Quantum Nonlinear Schrodinger Equation

数学科学：光学孤子和量子非线性薛定谔方程的半经典解

• 批准号: 9508711
• 负责人: Mark Alber
• 金额: $ 7.1万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-09-01 至 1998-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9508711&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Optical; Solitons; Semiclassical

9508711 Alber The University-Industry Cooperative Research Programs in the Mathematical Sciences are programs designed to establish a mechanism for exchange of mathematical scientists between academia and industry at different stages of their careers. These programs will strengthen the links between industry and academia and identify and encourage new avenues of research in the mathematical sciences. The University-Industry Postdoctoral Research Fellowships provide two years of support for recent recipients of doctoral degrees in the mathematical sciences. These awards are a means of contributing to the future vitality of the scientific effort of the nation. The postdoctoral fellow will work closely with scientific advisors from both academia and industry. Gregory G. Luther received his doctoral degree from the University of Rochester and will work under the direction of Mark S. Alber at Notre Dame, Jerrold E. Marsden at Berkeley, and Jonathan Robbins at Hewlett-Packard. Collaborators at Los Alamos National Laboratory will also participate. The research will be on soliton-based long-haul optical communications systems. Both advanced analytical and numerical techniques will be used to study details of soliton and soliton-like solutions of the nonlinear wave equations that model optical communications and information processing systems.

9508711阿尔伯 数学领域的产学研合作研究 科学是旨在建立数学交流机制的计划。 学术界和工业界之间的科学家在他们职业生涯的不同阶段。这些 计划将加强工业界和学术界之间的联系，并确定和 鼓励数学科学研究的新途径。大学与产业 博士后研究奖学金为最近的获奖者提供两年的支持， 数学科学博士学位。这些奖项是一种贡献的手段 国家未来的科学活力。博士后将 与学术界和工业界的科学顾问密切合作。 格雷戈里·G路德在罗切斯特大学获得博士学位 并将在Mark S的指导下工作巴黎圣母院的阿尔伯，杰罗尔德E.马斯登在 伯克利分校和惠普的乔纳森·罗宾斯。Los Alamos的合作者 国家实验室也将参与。研究将是基于孤子的长距离传输 光通信系统。先进的分析和数值技术都将 可以用来研究非线性波的孤子和类孤子解的细节 模拟光通信和信息处理系统的方程。