کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6929554 867528 2016 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients
ترجمه فارسی عنوان
در مورد استفاده از لایه های کاملا همگرا در گوشه ها برای مشکلات پراکندگی با ضریب تغییر نشانه
کلمات کلیدی
مشکل پراکندگی، ورودی تغییر دینامیک، خاصیت گوشه، امواج سیاه چاله، لایه های کاملا سازگار، روش عنصر محدود
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
We investigate in a 2D setting the scattering of time-harmonic electromagnetic waves by a plasmonic device, represented as a non-dissipative bounded and penetrable obstacle with a negative permittivity. Using the T-coercivity approach, we first prove that the problem is well-posed in the classical framework Hloc1 if the negative permittivity does not lie in some critical interval whose definition depends on the shape of the device. When the latter has corners, for values inside the critical interval, unusual strong singularities for the electromagnetic field can appear. In that case, well-posedness is obtained by imposing a radiation condition at the corners to select the outgoing black-hole plasmonic wave, that is the one which carries energy towards the corners. A simple and systematic criterion is given to define what is the outgoing solution. Finally, we propose an original numerical method based on the use of Perfectly Matched Layers at the corners. We emphasize that it is necessary to design an ad hoc technique because the field is too singular to be captured with standard finite element methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 322, 1 October 2016, Pages 224-247
نویسندگان
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