Efficient Higher Order Techniques for Electromagnetic Modeling and Design of Photonic Crystal Structures

Branislav M.马萨诸塞州达特茅斯大学。这项研究的中心目标是提供光学和纳米技术社区，以及天线和RF/微波社区，具有新的电磁（EM）建模能力，用于更有效地分析和设计现实的平面光子晶体（PC）或光子带隙（PBG）结构，作为时域有限差分模拟的替代方案。两个独立的高阶大域积分方程（IE）技术，一个通用的IE技术和一个专门的PBG建模技术，将开发，以及它们的混合。该专门技术专用于PBG结构，其涉及在无限电介质（半导体）板中穿孔的空气填充、电介质填充或金属化圆柱形孔的任意有限非周期性阵列，并且被设计为极其快速，这对于优化设计（例如，使用遗传算法）。混合高阶IE-PBG方法将允许任意的3-D电磁结构被包括在平面PBG材料的分析中。更广泛的影响。这项研究有可能大大提高计算电磁学在现实应用中建模和设计光子晶体结构的能力，并显着影响该领域研究，开发和制造活动的预测扩展。PC材料的许多巨大前景的一个例子是它们作为未来几代高密度集成平面光波电路的实现技术的作用。两个博士研究生们将一直致力于这个项目。其他一些研究生和本科生将定期参加。一个新的研究生课程EM超材料将开发。

ECS-0621987Branislav M. NotarosUniversity of Massachusetts DartmouthIntellectual Merit. The central goal of this research is to provide the optics and nanotechnology communities, as well as the antenna and RF/microwave communities, with a new electromagnetic (EM) modeling capability for much more efficient analysis and design of realistic planar photonic crystal (PC) or photonic band-gap (PBG) structures, as an alternative to finite-difference time-domain simulations. Two independent higher order large-domain integral-equation (IE) techniques, a general-purpose IE technique and a specialized PBG modeling technique, will be developed, as well as their hybrid. The specialized technique is dedicated to PBG structures involving arbitrary finite non-periodic arrays of air-filled, dielectric-filled, or metalized circular cylindrical holes perforated in an infinite dielectric (semiconductor) slab, and is designed to be extremely rapid, which is crucial for optimization of designs (e.g., using genetic algorithms). The hybrid higher order IE-PBG method will allow arbitrary 3-D electromagnetic structures to be included in the analysis with planar PBG materials. Broader Impacts. This research has the potential of considerably improving the capabilities of computational electromagnetics for modeling and design of photonic-crystal structures in real-world applications and significantly impacting predicted expansion of research, development, and fabrication activities in this area. Just one example of many great promises of PC materials is their role as enabling technology for future generations of high-density integrated planar lightwave circuits. Two Ph.D. graduate students will be working on the project at all times. A number of other graduate and undergraduate students will be engaged periodically. A new graduate course on EM Metamaterials will be developed.