dorsal/arxiv
View SchemaSemiclassical stability analysis of a two-photon laser including spatial variation of the cavity field
| Authors | Mahmoud Abdel-Aty, Abdel-Shafy F. Obada |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0109119 |
| URL | https://arxiv.org/abs/quant-ph/0109119 |
| DOI | 10.1007/s100530170155 |
| Journal | Eur. Phys. J. D 15,385-391 (2001) |
Abstract
We investigate the dynamics of a two-photon laser under conditions where the spatial variation of the cavity field along the cavity axis is important. Main attention is paid to linear stability analysis and numerical investigation of a two-photon laser for the Maxwell-Bloch equations. The model assumes pumping to the upper state of the two-photon transition. We consider the Maxwell-Bloch equations on the basis of which we study the stability analysis of the steady state of the system. The system is taken to be contained in a ring-laser cavity. Asymptotic expansion of the eigenvalue and analytic information are obtained in some realistic limits, such as very large reflectivity, very small cavity losses, or very small population relaxation rate. The results are illustrated with an application to a specific atomic system (Potassium) as an amplifying medium.
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"abstract": "We investigate the dynamics of a two-photon laser under conditions where the\nspatial variation of the cavity field along the cavity axis is important. Main\nattention is paid to linear stability analysis and numerical investigation of a\ntwo-photon laser for the Maxwell-Bloch equations. The model assumes pumping to\nthe upper state of the two-photon transition. We consider the Maxwell-Bloch\nequations on the basis of which we study the stability analysis of the steady\nstate of the system. The system is taken to be contained in a ring-laser\ncavity. Asymptotic expansion of the eigenvalue and analytic information are\nobtained in some realistic limits, such as very large reflectivity, very small\ncavity losses, or very small population relaxation rate. The results are\nillustrated with an application to a specific atomic system (Potassium) as an\namplifying medium.",
"arxiv_id": "quant-ph/0109119",
"authors": [
"Mahmoud Abdel-Aty",
"Abdel-Shafy F. Obada"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s100530170155",
"journal_ref": "Eur. Phys. J. D 15,385-391 (2001)",
"title": "Semiclassical stability analysis of a two-photon laser including spatial variation of the cavity field",
"url": "https://arxiv.org/abs/quant-ph/0109119"
},
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