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

布拉尼斯拉夫·m·诺塔诺麻省大学达特茅斯分校本研究的中心目标是为光学和纳米技术社区，以及天线和射频/微波社区提供一种新的电磁（EM）建模能力，以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，作为有限差分时域模拟的替代方案。两种独立的高阶大域积分方程（IE）技术，一种通用的IE技术和一种专门的PBG建模技术，将被开发，以及它们的混合。该专业技术专门用于PBG结构，涉及在无限介质（半导体）板上穿孔的任意有限非周期充气，介电填充或金属化圆柱孔阵列，并且设计得非常快，这对于优化设计至关重要（例如，使用遗传算法）。混合高阶IE-PBG方法将允许任意三维电磁结构包含在平面PBG材料的分析中。更广泛的影响。这项研究有潜力大大提高计算电磁学在实际应用中对光子晶体结构建模和设计的能力，并显著影响该领域研究、开发和制造活动的预期扩展。PC材料的许多伟大承诺的一个例子是它们作为下一代高密度集成平面光波电路的使能技术的作用。两名博士研究生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与。将开设一门新的电磁超材料研究生课程。

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.