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

9513137豪斯 日本札幌的北海道大学的Kuon Inoue教授的实验组和伦斯勒理工学院的PI理论组之间开发了一个为期三年的合作研究计划。 我们研究的主题是在一维，二维和三维的周期性介电材料。 本课题结合了两组的优势，探索这些新材料在光电子学中的应用潜力，特别是脉冲传播和非线性效应。实验组从事一些实验的样品，其晶格间距范围从毫米到亚微米;二维和三维样品的主要兴趣。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;注意力集中在收敛性和可靠性问题上。 分析方法正在同时开发使用多尺度扰动方法。结果被应用到线性和非线性结构中的脉冲传输，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. ***