Nowadays, extensive research on electromagnetic (EM) metamaterials and metasurfaces has resulted in many innovative devices and systems. While the potentials of advanced materials and their applications are appealing, it is often difficult to model them accurately by computational methods due to the inherently multiscale, complex structures involved. In this work, we propose a metamaterial Green’s function (MGF) approach combined with the geometry-aware (GA) domain decomposition method (DDM) for modeling complex, heterogeneous materials. The MGF can be viewed as a first-principles multiscale modeling approach that rigorously encodes the information of the microscopic structures through the upfront offline calculation. The outcome results in quasisublinear algorithms in which the online computational complexity does not depend on the microscopic size of metamaterial structures. The results have the potential to make the full-wave analysis of metamaterials and metasurfaces orders of magnitude faster.
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Gao et al. (2023) studied this question.
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