讲座题目：A Fourier-matching method for analyzing resonances in a slab of subwavelength structures

讲座时间：2021年12月16日，星期四，上午10:00-12:00

腾讯会议 ID：255-439-255

腾讯会议密码：1234

讲座人：鲁汪涛教授，浙江大学

讲座简介：

In this talk, we shall introduce a new, simple Fourier-transformation approach to study resonances in a perfectly conducting slab with finite number of subwavelength slits of width h ≪ 1. Since regions outside the slits are variable separated, by Fourier transforming the governing equation, we could express field in the outer regions in terms of field derivatives on the aperture. Next, in each slit where variable separation is still available, wave field could be expressed as a Fourier series in terms of a count- able basis functions with unknown Fourier coefficients. Finally, by matching field on the aperture, we establish a linear system of infinite number of equations governing the countable Fourier coefficients. By the asymptotic expansion of each entry of the coefficient matrix, we rigorously show that, by removing only a finite number of rows and columns, the resulting matrix is invertible so that the infinite dimensional linear system can be reduced to a finite dimensional linear system. Resonance frequencies are exactly those frequencies making the linear system rank-deficient. This in turn provides a simple, asymptotic formula describing resonance frequencies with accuracy O(h3 log h). Extension to three-dimensional structure shall also be briefly discussed.

讲座人简介：

  鲁汪涛，2007年中国科学技术大学学士，2012年中国科学技术大学博士，同年获得香港城市大学联合培养博士学位。2017年入选海外高层次人才计划青年项目，并于8月回浙大工作至今,任百人计划研究员。主持浙江省自然科学基金杰出青年项目，主持及参与多项国家级基金项目。在SINUM、SISC、SIAP、MMS、JCP等发表多篇文章。

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贾骏雄 gg999策略手机白菜副教授

孟德宇 gg999策略手机白菜教授

赵熙乐 电子科技大学教授

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会议时间：2021/12/16 10:00-12:00 (GMT+08:00) 中国标准时间 - 北京

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