预告美国阿拉巴马大学数学系赵山教授6月3日来我校做学术报告

题 目：Time domain interface methods for electromagnetic wave propagation in dispersive media

时 间：6月3日（周三）下午 4:00

地 点：理工大曲江校区 人文学院模拟法庭

报告人简介：赵山（Shan Zhao）教授于2003年于新加坡 国立大学获得博士学位，现为美国阿拉巴马大学(University of Alabama) 数学系教授。研究领域为科学计算、计算分子生物学、计算电磁学等，近年来在界面问题的高阶数值方法、分子生物学的高精度计算方法以及电磁学方程的计算等领域取得一系列丰富的研究成果。已经在SIAM Journal on Scientific Computing，Journal of Computational Chemistry，Journal of Computational Physics，Journal of Scientific Computing，Physical Review E等国际著名SCI期刊上发表学术论文40余篇，现担任Molecular Based Mathematical Biology等多个重要SCI刊物编委。详细研究工作见：http://www.bama.ua.edu/~szhao/

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理学院

2015年6月1日

报告简介

Dispersive media are ubiquitous in nature, such as in biological tissues, rocks, soils, ice, snow, and plasma. In such media, the dielectric permittivity is a function of frequency so that a broadband electromagnetic wave will propagate and attenuate in a frequency dependent manner. The interaction of such a wave with a dispersive interface, which separates a dispersive medium and a nondispersive medium, is a very complex electromagnetic process. In particular, the electromagnetic field discontinuity across the dispersive interface is known to be frequency-dependent or time-varying in time domain simulations. In order to track these transient jumps, we have developed novel Maxwell systems for both transverse magnetic (TM) and transverse electric (TE) problems. Based on the auxiliary differential equations, both Debye and Drude dispersive materials have been studied. The resulting time-dependent jump conditions are enforced via the matched interface and boundary (MIB) scheme. High order convergences are numerically achieved in treating complex and dispersive interfaces. This is a joint work with my PhD student Duc Nguyen.

责任编辑：韩奇哲

审核：张明