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.

北卡罗来纳州AT州立大学的数学系将于2002年5月20日至24日主办一次关于“非线性波传播的数学方法”的NSF/CBMS区域研究会议。在为期五天的会议上，J. Kenneth Shaw教授将发表十场演讲，主题如下：光纤光学概述;数学模型;光纤中的脉冲传播;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、评论和研究方向。除了这些讲座，将有半结构化的讨论会，由其他领先的研究数学家和工程师在非线性电磁学和纤维光学。所选择的主题，由脉冲通过非线性光纤的传播研究的动机，是一个肥沃的和活跃的跨学科领域的基础，使它在应用数学研究特别及时。通过提供一个焦点，否则不同的一套专门的数学领域，该主题创造了不同专业的数学家之间的合作机会，而在同一时间奠定了跨学科合作的基础。本次会议特别旨在努力向这一令人兴奋的领域介绍新的研究人员，重点是HBCU/MI教师，他们的活动通常仅限于教学。 虽然参与主要是预计从内北卡罗来纳州和东南大西洋地区，其他参与者预计从更广泛的数学科学界。会议的一个预期成果是，它将作为一个孵化器的数学和跨学科的合作活动之间建立和新的研究人员，从而有助于刺激研究活动在应用数学在少数民族服务机构。