Integrating Physics and Numerical Mathematics for Characterizing Magnetic Sensor Materials and Analyzing Magnetic Force Microscope Images

整合物理和数值数学来表征磁传感器材料和分析磁力显微镜图像

• 批准号: 0207137
• 负责人: Min Sun
• 金额: $ 10万
• 依托单位: University of Alabama Tuscaloosa
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-12-01 至 2005-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0207137&HistoricalAwards=false
• 关键词: Integrating; Physics; Numerical; Mathematics; Characterizing

Aggressive research in magnetic materials science for information technology has been playing an essential role in rapid advancement of magnetic data storage systems for over a couple of decades. The PI proposes to engage rather extensively for a period of one year in study and research in this important area that makes use of the mathematical sciences in a significant way. Traditionally, this area of research belongs to researchers in physics, chemistry, electrical engineering, and metallurgical and materials engineering. It has been a relatively untouched frontier for applied mathematicians. The one-year project involves extensive study of basic physics of magnetism and magnetic recording, and subsequent development of several numerical models and methods to help solve two important but difficult problems in magnetic materials research: (1) identification of unknown magnetic parameters of ferromagnetic and anti-ferromagnetic coupled thin films that are used for future ultra-high density magnetic recording and nonvolatile magnetic random access memories, and (2) analysis of magnetic force microscope images of magnetic films for revealing useful information. In addition to the PI and at least one math student, this interdisciplinary project will involve two professors as hosts from department of physics. It also utilizes several instruments with assistance from at least another physics faculty and some physics students. The project provides the PI with rare opportunity to engage in effective collaboration with researchers in physics. The major component of mathematical methods will be on optimization. Optimization methods with or without gradient information of the objective function will be designed and implemented. Approximate mathematical models for representing the proposed physical systems are investigated. Integration of physics, mathematical models, and numerical methods will reveal new insights into those two difficult issues from a different perspective that would offer new ways to help solve the two proposed problems using currently available instruments. The project also helps promote research interests on magnetic materials in the mathematics community in general, enriches the educational experiences and broadens the career options for students majoring in mathematics as well as in physics.This IGMS project is jointly supported by the MPS Office of Multidisciplinary Activities (OMA) and the Division of Mathematical Sciences (DMS).

几十年来，信息技术磁性材料科学的积极研究在磁性数据存储系统的快速发展中发挥了至关重要的作用。 PI建议在这一重要领域进行为期一年的广泛学习和研究，以显著的方式利用数学科学。 传统上，这一研究领域属于物理，化学，电气工程，冶金和材料工程的研究人员。 它一直是应用数学家相对未触及的前沿。 这个为期一年的项目涉及对磁性和磁记录的基础物理的广泛研究，以及随后开发的几个数值模型和方法，以帮助解决磁性材料研究中两个重要但困难的问题：（1）用于未来超磁致伸缩的铁磁和反铁磁耦合薄膜的未知磁参数的识别，高密度磁记录和非易失性磁随机存取存储器，以及（2）分析磁性薄膜的磁力显微镜图像以揭示有用的信息。 除了PI和至少一名数学学生外，这个跨学科项目还将涉及两名物理系教授作为主持人。它还利用了几种仪器，至少有另一个物理系和一些物理学生的帮助。该项目为PI提供了与物理研究人员进行有效合作的难得机会。数学方法的主要组成部分将是最优化。 将设计和实现具有或不具有目标函数的梯度信息的优化方法。 近似的数学模型表示拟议的物理系统进行了研究。物理学、数学模型和数值方法的整合将从不同的角度揭示这两个难题的新见解，为使用现有仪器解决这两个问题提供新的方法。 该项目还有助于促进数学界对磁性材料的研究兴趣，丰富教育经验，并拓宽数学和物理专业学生的职业选择。该IGMS项目由MPS多学科活动办公室（OMA）和数学科学部（DMS）共同支持。