Numerical methods for solving the time-dependent Maxwell equations
| dc.creator | De Raedt, H. | |
| dc.creator | Kole, J. S. | |
| dc.creator | Michielsen, K. F. L. | |
| dc.creator | Figge, M. T. | |
| dc.date | 2002-10-08 | |
| dc.date.accessioned | 2026-07-07T05:48:13Z | |
| dc.date.available | 2026-07-07T05:48:13Z | |
| dc.description | We review some recent developments in numerical algorithms to solve the time-dependent Maxwell equations for systems with spatially varying permittivity and permeability. We show that the Suzuki product-formula approach can be used to construct a family of unconditionally stable algorithms, the conventional Yee algorithm, and two new variants of the Yee algorithm that do not require the use of the staggered-in-time grid. We also consider a one-step algorithm, based on the Chebyshev polynomial expansion, and compare the computational efficiency of the one-step, the Yee-type, the alternating-direction-implicit, and the unconditionally stable algorithms. For applications where the long-time behavior is of main interest, we find that the one-step algorithm may be orders of magnitude more efficient than present multiple time-step, finite-difference time-domain algorithms. | |
| dc.identifier | https://arxiv.org/abs/physics/0210035 | |
| dc.identifier | http://arxiv.org/abs/physics/0210035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/84946 | |
| dc.subject | Computational Physics | |
| dc.subject | Optics | |
| dc.title | Numerical methods for solving the time-dependent Maxwell equations | |
| dc.type | text |