Research and Development of a Unifying Electromagnetic Platform for Emerging Technology Designs

从病人监护到无线电力传输，再到太赫兹成像和传感，新型电子和电气技术的出现和应用已经渗透到我们生活的几乎每个角落。因此，电气和电子系统的工作频率范围已从几赫兹的低频扩展到太赫兹和光学频率。这些应用使得相关的电气和电子电路和系统的设计非常具有挑战性；这是因为电路和系统需要低成本和小尺寸，而电磁效应和随机现象，如空间场分布、寄生、辐射、等离子体、噪声和随机材料性质变化，不再是可以忽略不计的。因此，为了缩短设计周期和提高竞争力，非常需要一个统一、高效和有效的电磁建模和设计平台，可以模拟所有的电气和电子现象，包括从低频到光学频率的噪声。我们最近在推广现有数值方法方面的初步工作已经提出了创建这样一个统一平台的可能性；它不仅将数值方法置于单一的数学框架下，而且还允许针对特定问题轻松开发新的数值方法。

Emergence and applications of novel electronic and electrical technologies have spread into almost every corner of our lives, from patient monitoring to wireless power transmission, and terahertz imaging and sensing. As a result, the range of operating frequencies in electrical and electronic systems has been extended from a low frequency of a few Hertz to terahertz and optical frequency. Such applications have made designs of related electrical and electronic circuits and systems very challenging; this is because circuits and systems are required to be of low cost and small size, and electromagnetic effects and stochastic phenomena, such as spatial field distributions, parasitics, radiation, plasmonics, noises and random material property variations, are no longer negligible. As a result, a single unifying efficient and effective electromagnetic modeling and design platform that can simulate all electrical and electronic phenomena, including noises from low to optical frequency, is very much desirable in order to shorten design cycles and increase competitiveness. Our recent preliminary work in generalizing existing numerical methods has presented the possibility of creating such a unifying platform; it will not only place numerical methods under a single mathematical framework, but also allow easy development of new numerical methods catering to specific problems.