A high accuracy algorithm for 3D periodic electromagnetic scattering

作者：Nicholas Mike^*

来源：Journal of Computational Physics, 2010, 229(21): 8211-8223.

DOI：10.1016/j.jcp.2010.07.028

• Periodic scattering
• Periodic Helmholtz Green's function
• Ewald method
• Muller integral equation

We develop a highly accurate numerical method for scattering of 3D electromagnetic waves by doubly periodic structures. We approximate scattered fields using the Muller boundary integral formulation of Maxwell's equations. The accuracy is achieved as singularities are isolated through the use of partitions of unity, leaving smooth, periodic integrands that can be evaluated with high accuracy using trapezoid sums. The removed singularities are resolved through a transformation to polar coordinates. The method relies on the ideas used in the free space scattering algorithm of Bruno and Kunyansky.

• 出版日期2010-10-20