U.S.-Japan Cooperative Science Program: Wave Propagation in Periodic Composite Materials

9513137日本札幌市北海道大学井上光教授的实验小组与伦斯勒理工学院的PI理论小组合作开展了一项为期三年的合作研究计划。我们研究的对象是一维、二维和三维具有周期性的介电材料。本课题结合两个小组的长处，探索这些新材料在光电子学，特别是脉冲传输和非线性效应方面的应用潜力。试验组对晶格间距从毫米到亚微米的样品进行了一些实验；主要感兴趣的是二维和三维样品。这家日本集团正在进行微波和光学表征实验，以证实具体的理论预测。PI正在继续进行数值计算，并开发从平面波到光束传播方法的几种方法；专注于收敛和可靠性问题。目前正在使用多尺度摄动法开发分析方法。所得结果应用于脉冲在线性和非线性结构中的传输、色散和衍射。***

9513137 Haus A three year cooperative research program is developed between the experimental group of Prof. Kuon Inoue at Hokkaido University in Sapporo, Japan and the theoretical group of the PI at Rensselaer Polytechnic Institute. The subject of our investigations is dielectric materials with periodicity in one-, two- and three-dimensions. The topic combines the strengths of two groups to explore the potential of these new materials for applications in optoelectronics, especially pulse propagation and nonlinear effects. The experimental group is engaged in a number of experiments on samples whose lattice spacing ranges from millimeters to sub-microns; two- and three-dimensional samples are of primary interest. The Japanese group has both microwave and optical characterization experiments underway to confirm specific theoretical predictions. The PI is continuing numerical calculations and developing several approaches from plane-waves to beam-propagation methods; attention is devoted to convergence and reliability issues. Analytical methods are concurrently being developed using the multiple scales perturbation approach. The results are applied to pulse propagation, dispersion and diffraction in linear and nonlinear structures. ***