کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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519040 | 867637 | 2012 | 16 صفحه PDF | دانلود رایگان |
The scattering of acoustic and electromagnetic waves by periodic structures plays an important role in a wide range of problems of scientific and technological interest. This contribution focuses upon the stable and high-order numerical simulation of the interaction of time-harmonic electromagnetic waves incident upon a periodic doubly layered dielectric media with sharp, irregular interface. We describe a boundary perturbation method for this problem which avoids not only the need for specialized quadrature rules but also the dense linear systems characteristic of boundary integral/element methods. Additionally, it is a provably stable algorithm as opposed to other boundary perturbation approaches such as Bruno and Reitich’s “method of field expansions” or Milder’s “method of operator expansions”. Our spectrally accurate approach is a natural extension of the “method of transformed field expansions” originally described by Nicholls and Reitich (and later refined to other geometries by the authors) in the single-layer case.
Journal: Journal of Computational Physics - Volume 231, Issue 8, 20 April 2012, Pages 3007–3022