Unconditionally stable algorithms to solve the time-dependent Maxwell equations
Based on the Suzuki product-formula approach, we construct a family of unconditionally stable algorithms to solve the time-dependent Maxwell equations. We describe a practical implementation of these algorithms for one-, two-, and three-dimensional systems with spatially varying permittivity and per...
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| Veröffentlicht in: | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2001-12, Vol.64 (6 Pt 2), p.066705-066705, Article 066705 |
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| container_end_page | 066705 |
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| container_issue | 6 Pt 2 |
| container_start_page | 066705 |
| container_title | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |
| container_volume | 64 |
| creator | Kole, J S Figge, M T De Raedt, H |
| description | Based on the Suzuki product-formula approach, we construct a family of unconditionally stable algorithms to solve the time-dependent Maxwell equations. We describe a practical implementation of these algorithms for one-, two-, and three-dimensional systems with spatially varying permittivity and permeability. The salient features of the algorithms are illustrated by computing selected eigenmodes and the full density of states of one-, two-, and three-dimensional models and by simulating the propagation of light in slabs of photonic band-gap materials. |
| doi_str_mv | 10.1103/PhysRevE.64.066705 |
| format | Article |
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| ispartof | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2001-12, Vol.64 (6 Pt 2), p.066705-066705, Article 066705 |
| issn | 1539-3755 1063-651X 1095-3787 |
| language | eng |
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| source | American Physical Society Journals |
| title | Unconditionally stable algorithms to solve the time-dependent Maxwell equations |
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