Evolution and collapse of a Lorentz beam in Kerr medium
The effect of Kerr nonlinearity on a Lorentz beam is investigated by using the nonlinear Schrodinger (NLS) equation. Based on the variational method, the evolution of a Lorentz beam in a Kerr medium is demonstrated and the critical collapse powers of the Lorentz beam are derived. Numerical simulatio...
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| Main Authors: | , |
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| Format: | Article |
| Published: |
EMW Publishing
2011
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| Subjects: | |
| Online Access: | http://eprints.um.edu.my/7959/ http://www.jpier.org/PIER/pier.php?paper=11081712 |
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| Summary: | The effect of Kerr nonlinearity on a Lorentz beam is investigated by using the nonlinear Schrodinger (NLS) equation. Based on the variational method, the evolution of a Lorentz beam in a Kerr medium is demonstrated and the critical collapse powers of the Lorentz beam are derived. Numerical simulations of the propagation of a Lorentz beam in a Kerr medium show that the beam becomes quasi-circular in a very short distance. Although the beam width of the Lorentz beam broadens, the central part of the beam give rise to a partial collapse. |
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