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A technique for handling multiscale electromagnetic problems using the finite difference time domain (FDTD) algorithm

机译:一种使用时域有限差分(FDTD)算法处理多尺度电磁问题的技术

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摘要

With advances in system integration and packaging, the capabilities of hand-held devices and embedded bio-sensors have grown to a phenomenal scale. This in turn has led to a constant interaction between human beings and ambient electromagnetic waves. Hence there is a need for studying the effects of radiation on human physiology and also the performance of systems in such an environment. The system designers seek a full-wave solution of the entire system, taking into account a variety of environments in which it operates. However, attempts to do this substantially increase the complexities involved in computing full-wave solutions, especially when the problems involve multi-scale geometries with very fine features. For such problems, even the well-established numerical methods, such as the time domain technique finite difference time domain and the frequency domain techniques, e.g. the finite element method and the method of moments, are often challenged to the limits of their capabilities. In an attempt to address these challenges, we propose to handle the multiscale problems in three different ways, based on the dimension and the complexity of the fine features involved in the problem. Furthermore, we illustrate the efficacy of the above techniques via several examples, and the results obtained by the proposed techniques are compared with other existing numerical methods for the purpose of validation.
机译:随着系统集成和封装的进步,手持设备和嵌入式生物传感器的功能已发展到惊人的规模。反过来,这导致了人类与周围电磁波之间不断的相互作用。因此,需要研究辐射对人体生理的影响以及在这样的环境中系统的性能。系统设计人员考虑到系统运行的各种环境,寻求整个系统的全波解决方案。但是,尝试这样做会大大增加计算全波解决方案所涉及的复杂性,尤其是当问题涉及具有非常精细特征的多尺度几何时。对于此类问题,即使是完善的数值方法,例如时域技术,时域有限差分和频域技术,例如有限元法和弯矩法经常受到其功能极限的挑战。为了解决这些挑战,我们建议根据问题中涉及的精细特征的尺寸和复杂性,以三种不同的方式来处理多尺度问题。此外,我们通过几个示例说明了上述技术的有效性,并将通过提出的技术获得的结果与其他现有的数值方法进行比较以进行验证。

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