Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10356316 | Journal of Computational Physics | 2011 | 5 Pages |
Abstract
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 ÎtA, where Ît 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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Rob F. Remis,