NSF/CBMS Regional Conference in the Mathematical Sciences - Mathematical Methods in Nonlinear Wave Propagation - May 13-17, 2002

NSF/CBMS 数学科学区域会议 - 非线性波传播的数学方法 - 2002 年 5 月 13-17 日

• 批准号: 0122208
• 负责人: Dominic Clemence
• 金额: $ 2.75万
• 依托单位: North Carolina Agricultural & Technical State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-04-01 至 2003-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0122208&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Mathematical

The Mathematics Department at North Carolina A&T State University will host an NSF/CBMS Regional Research Conference, May 20-24, 2002, on "Mathematical Methods in nonlinear wave propagation". The proceedings of the five-day conference will be anchored by ten lectures delivered by Professor J. Kenneth Shaw on the following topics: Overview of fiber optics; Mathematical models; Pulse propagation in fibers; Mathematical modeling and simulation; Optical solitons; Phase modulation and solitons; Optimization Problems; Planar waveguides and Elliptical core fibers; Pulse design in fibers; Retrospective, review andresearch directions. In addition to these lectures, there shall be semi-structured discussionsessions led by other leading research mathematicians and engineers in nonlinear mathematicsand fiber optics. The chosen topic, motivated by the study of the propagation of pulses through nonlinear optical fibers, underlies a fertile and briskly active interdisciplinary area, rendering it particularly timely in applied mathematics research. By providing a focal point to an otherwise diverse set of specialized mathematical areas, the topic creates opportunities for collaboration amongst mathematicians of different specialties, while at the same time laying a foundation for interdisciplinary collaboration. This conference is in particular intended as an effort to introduce new researchers to this exciting field, with a focus on HBCU/MI faculty, whose activities are normally confined to teaching. While participation is mainly expected from within North Carolina and the Southeastern-Atlantic region, other participants are expected from the wider mathematical sciences community. An intended outcome of the conference is that it will act as an incubator for mathematical and interdisciplinary collaborative activities among established and new researchers, thus serving to stimulate research activity in applied mathematics at minority serving institutions.

北卡罗来纳农工州立大学数学系将于2002年5月20-24日主办一次NSF/CBMS区域研究会议，主题是“非线性波传播的数学方法”。为期五天的会议将由J.Kenneth Shaw教授发表的十场讲座组成，主题如下：光纤光学概述；数学模型；脉冲在光纤中的传播；数学建模和模拟；光孤子；相位调制和孤子；优化问题；平面波导和椭圆芯光纤；光纤中的脉冲设计；回顾、回顾和研究方向。除了这些讲座，还将有由非线性数学和光纤光学领域的其他顶尖研究数学家和工程师领导的半结构化讨论会议。选题的动机是研究脉冲在非线性光纤中的传播，这是一个肥沃而活跃的交叉学科领域，使其在应用数学研究中特别及时。通过为一系列不同的专业数学领域提供一个焦点，本专题为不同专业的数学家之间的合作创造了机会，同时为跨学科合作奠定了基础。这次会议的目的尤其是努力将新的研究人员介绍到这个令人兴奋的领域，重点是HBCU/MI的教职员工，他们的活动通常限于教学。虽然预计将主要在北卡罗来纳州和东南大西洋地区参加，但其他参与者预计将来自更广泛的数学科学界。会议的一个预期成果是，它将成为现有研究人员和新研究人员之间数学和跨学科合作活动的孵化器，从而促进少数群体服务机构在应用数学方面的研究活动。