Numerical method for a Schrödinger problem with amplification process
In this paper we consider one Schrödinger problem which describes a signal propagation in optical fibers. The stability of symmetrical finite difference scheme is investigated in the L2 norm. It is proved that the scheme becomes unstable if the signal is periodically amplified along the fiber. A mo...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
1999-12-01
|
| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/35668 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this paper we consider one Schrödinger problem which describes a signal propagation in optical fibers. The stability of symmetrical finite difference scheme is investigated in the L2 norm. It is proved that the scheme becomes unstable if the signal is periodically amplified along the fiber. A modification of the symmetrical scheme and one splitting scheme are proposed to solve the given problem.
|
|---|---|
| ISSN: | 0132-2818 2335-898X |