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

9513137 Haus日本札幌北海道大学Kuon Inoue教授的实验组和Rensselaer理工学院PI的理论组开展了为期三年的合作研究计划。我们研究的对象是具有一维、二维和三维周期性的介电材料。本课题结合了两组的优势，探索这些新材料在光电子领域的应用潜力，特别是脉冲传播和非线性效应。实验组对晶格间距从毫米到亚微米的样品进行了多项实验；二维和三维样品是主要的兴趣。这个日本研究小组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波束传播方法的几种方法；注意力集中在收敛和可靠性问题上。同时，利用多尺度摄动方法正在开发分析方法。结果应用于脉冲在线性和非线性结构中的传播、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. ***