Electromagnetic field computations for multi-physics phenomena: new techniques for emerging applications

目前自然科学和工程学中的许多进步都是在传统学科边界上或跨学科边界发展的。电磁场计算现在被用于无线生物电子、神经调制、生物医学成像和热疗等领域，与相关的热、机械甚至生物相互作用的计算并行。然而，目前的多物理建模方法在很大程度上依赖于连接独立开发的解算器。多年来，在电磁学、声学、热力学、力学、量子力学和化学的计算方法中，数值精度、稳定性和效率等基本问题得到了彻底但单独的解决，在将它们整合到多物理软件包的过程中，这些问题几乎没有受到关注。*虽然多物理建模的最新技术几乎保持不变和固有的碎片化，但涉及电磁场和光的新的和令人兴奋的多物理现象正在积极探索，例如使用光机耦合设计无磁性材料的非互易设备(Miri等人，PRL，2017年6月)和基于亚表面的生物医学植入物的无线链接(Ho等人，Phys。版本B，2015)。申请人小组还探索了微波消融天线的多物理优化(Sharma和Sarris，J.Appl。Pys，2017年2月)和无线能量传输激发的热疗应用程序(Lang和Sarris，J.Appl.Phys，2017年8月)，其中关于生物组织内和周围的所需温度分布直接设计和优化电磁装置。*拟议的计划是一项全面的努力，旨在解决当前数值建模技术与设想或实验探索的电磁场多物理应用之间明显缺乏同步的问题。将寻求有限差分法和不连续伽辽金时域类型的数值电磁技术以及它们的热效应、力学效应和量子效应的对应技术的联合优化，以最大限度地提高所使用的计算资源的精度。将探索机器智能驱动的多物理相互作用模型，以及在不确定条件下进行时空多尺度建模、多物理不确定性量化和优化的有效方法。*这些进展将使人们能够系统地探索在加拿大蓬勃发展的新的和新兴的通信、传感、生物工程和计算技术，直接使加拿大经济受益。因此，将为高素质人员的全面、跨学科培训创造令人兴奋的机会。

Many of the current advances in natural sciences and engineering evolve on and across rather than within conventional disciplinary boundaries. Electromagnetic field computations are now being employed in areas such as wireless bio-electronics, neuro-modulation, biomedical imaging and hyperthermia, in parallel with computations of associated thermal, mechanical and even biological interactions. Yet, the current approach to multiphysics modeling largely relies on interfacing independently developed solvers. Fundamental questions of numerical accuracy, stability and efficiency, thoroughly but separately addressed over the years for computational methods in electromagnetics, acoustics, thermodynamics, mechanics, quantum mechanics and chemistry, have received little attention in the process of integrating them in multiphysics packages. ******While the state-of-the-art in multiphysics modeling remains almost stationary and inherently fragmented, new and exciting multiphysics phenomena involving electromagnetic fields and light are actively explored, such as the use of opto-mechanical coupling for the design of non-reciprocal devices without magnetic materials (Miri et al, PRL, June 2017) and meta-surface based wireless links to biomedical implants (Ho et al, Phys. Rev. B, 2015). The applicant's group has also explored the multiphysics optimization of microwave ablation antennas (Sharma and Sarris, J. Appl. Phys., Feb. 2017) and wireless power transfer inspired hyperthermia applicators (Lang and Sarris, J. Appl. Phys., Aug. 2017), whereby electromagnetic devices are directly designed and optimized with respect to the desired temperature distribution in and around a biological tissue. ******The proposed program is a comprehensive effort to address this evident lack of synchronization between current numerical modeling techniques and the envisioned or experimentally explored multiphysics applications of electromagnetic fields. Joint optimization of numerical electromagnetics techniques, of the finite-difference and the discontinuous Galerkin time-domain type, and their counterparts for thermal, mechanical and quantum effects will be pursued to maximize their accuracy per computational resources used. Machine intelligence driven models of multiphysics interactions will be explored, along with efficient methods for space-time multiscale modeling, multiphysics uncertainty quantification and optimization under uncertainty. *** ***These advances will enable the systematic exploration of new and emerging communication, sensing, bio-engineering and computational technologies that are flourishing in Canada, directly benefiting the Canadian economy. Exciting opportunities for well-rounded, interdisciplinary training of highly qualified personnel will thus be created.