کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10356316 867686 2011 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the relation between FDTD and Fibonacci polynomials
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
On the relation between FDTD and Fibonacci polynomials
چکیده انگلیسی
In this paper we show that the Finite-Difference Time-Domain method (FDTD method) follows the recurrence relation for Fibonacci polynomials. More precisely, we show that FDTD approximates the electromagnetic field by Fibonacci polynomials in ΔtA, where Δt is the time step and A is the first-order Maxwell system matrix. By exploiting the connection between Fibonacci polynomials and Chebyshev polynomials of the second kind, we easily obtain the Courant-Friedrichs-Lewy (CFL) stability condition and we show that to match the spectral width of the system matrix, the time step should be chosen as large as possible, that is, as close to the CFL upper bound as possible.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 230, Issue 4, 20 February 2011, Pages 1382-1386
نویسندگان
,