报告地点：行健楼学术活动室526
摘 要： We present FAME, an efficient algorithm for computing the band structures of 3D photonic crystals with supercell structures under perfect electric conductor and quasi-periodic mixed boundary conditions. In this setting, the discrete 1D differential operators no longer commute, rendering previous techniques for purely quasi-periodic conditions inapplicable. By leveraging the SVD of each directional discrete differential operator, we derive an explicit SVD for the discrete curl operator, revealing its FFT structure. With an explicit basis for the range space of the discrete curl operator from its SVD, we reformulate the Maxwell eigenvalue problem into a null-space-free generalized eigenvalue problem solvable via the inverse Lanczos method. This framework is also applicable to other novel materials such as phononic crystals.
