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

用于电磁建模和光子晶体结构设计的高效高阶技术

• 批准号: 0650719
• 负责人: Branislav Notaros
• 金额: --
• 依托单位: Colorado State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-09-01 至 2011-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0650719&HistoricalAwards=false
• 关键词: Efficient; Higher; Order; Techniques; Electromagnetic

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.

ECS-0621987Branislav M. Notaros 马萨诸塞大学达特茅斯分校智力优异。这项研究的中心目标是为光学和纳米技术界以及天线和射频/微波界提供新的电磁 (EM) 建模功能，以便更有效地分析和设计真实的平面光子晶体 (PC)或光子带隙（PBG）结构，作为有限差分时域模拟的替代方案。将开发两种独立的高阶大域积分方程 (IE) 技术，即通用 IE 技术和专用 PBG 建模技术及其混合技术。这项专门技术专用于 PBG 结构，涉及在无限电介质（半导体）板中穿孔的任意有限非周期性空气填充、电介质填充或金属化圆柱孔阵列，并且设计速度极快，这一点至关重要用于优化设计（例如，使用遗传算法）。混合高阶 IE-PBG 方法将允许将任意 3D 电磁结构纳入平面 PBG 材料的分析中。更广泛的影响。这项研究有可能显着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 材料的许多伟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支持技术的作用。两名博士研究生将始终致力于该项目。许多其他研究生和本科生将定期参与。将开发一门关于电磁超材料的新研究生课程。