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

目前自然科学和工程领域的许多进步都是在传统学科界限之上和跨越的，而不是在传统学科界限之内发展的。电磁场计算现在被应用于无线生物电子学、神经调节、生物医学成像和热疗等领域，并与相关的热、机械甚至生物相互作用的计算并行。然而，目前的多物理场建模方法在很大程度上依赖于独立开发的求解器的接口。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，对数值精度、稳定性和效率的基本问题进行了彻底而单独的解决，但在将它们集成到多物理场包中的过程中却很少受到关注。******虽然最先进的多物理场建模仍然几乎是静止的和固有的碎片化，但涉及电磁场和光的新的和令人兴奋的多物理场现象正在积极探索，例如使用光机械耦合来设计无磁性材料的非互易设备（Miri等人，PRL， 2017年6月）和基于元表面的生物医学植入物无线链路(Ho等人，Phys。Rev. B, 2015)。申请人小组还探索了微波消融天线的多物理场优化(Sharma和Sarris， J. appll。理论物理。， 2017年2月)和无线能量传输启发热疗应用器(Lang and Sarris， J. appll。理论物理。（2017年8月），根据生物组织内部和周围所需的温度分布直接设计和优化电磁器件。******提出的计划是一个全面的努力，以解决当前数值模拟技术和设想或实验探索电磁场的多物理场应用之间明显缺乏同步。将追求有限差分和不连续伽辽金时域型数值电磁学技术的联合优化，以及热、力学和量子效应的相应技术，以最大限度地提高其使用的计算资源的准确性。将探索机器智能驱动的多物理场相互作用模型，以及时空多尺度建模、多物理场不确定性量化和不确定性下优化的有效方法。*** ***这些进步将使系统地探索在加拿大蓬勃发展的新兴通信、传感、生物工程和计算技术，直接使加拿大经济受益。因此，将为培养全面、跨学科的高素质人才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.