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Two-dimensional local multilevel fast inhomogeneous plane wave algorithm. (Chinese. English summary) Zbl 1150.78323
Summary: A novel approximative iteration technique-local iteration, is combined into two-dimensional Multilevel Fast Inhomogeneous Plane Wave Algorithm (MLFIPWA), namely Local MLFIPWA (LMLFIPWA), to solve 2D electromagnetic scattering problem efficiently. The computational complexity of MLFIPWA is the same as the multilevel fast multipole algorithm, so it can be used to solve large-scale problems. Since and Green’s function is based on Sommerfeld integration, the MLFIPWA has the advantage of being directly expanded into layered medium problems. By applying a local iteration procedure, the efficiency can be further improved. Numerical results demonstrate the validity of this method.
78M25 Numerical methods in optics (MSC2010)