| 抽运参数随时间慢变所诱发Laser-Lorenz方程的分岔与光学双稳态 |
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| 引用本文： | 化存才,陆启韶. 抽运参数随时间慢变所诱发Laser-Lorenz方程的分岔与光学双稳态[J]. 物理学报, 1999, 48(3): 408-415 |
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| 作者姓名： | 化存才 陆启韶 |
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| 作者单位： | 北京航空航天大学理学院，北京 100083 |
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| 基金项目： | 国家自然科学基金(批准号：19872010)资助的课题- |
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| 摘 要： | 提出了新的简便的方法研究具有入射信号的半经典Laser-Lorenz方程-由于抽运参数随时间慢变，导致分岔滞后，并诱发暂态的光学双稳态-通过量级平衡和用线性化系统的慢变解作近似，给出了分岔转迁的量级关系和暂态光学双稳态发生的条件，并通过数值计算给出分岔转迁区间和暂态光学双稳态的滞后环-关键词：
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| 关 键 词： | 抽运参数 L－L方程 激光物理 分岔 光学双稳态 |
| 收稿时间： | 1998-07-29 |
BIFURCATION AND OPTICAL BISTABILITY OF LASER-LORENZ EQUATIONS INDUCED BY A PUMP PARAMETER SLOWLY VARYING WITH TIME |
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| HUA CUN-CAI and LU QI-SHAO. BIFURCATION AND OPTICAL BISTABILITY OF LASER-LORENZ EQUATIONS INDUCED BY A PUMP PARAMETER SLOWLY VARYING WITH TIME[J]. Acta Physica Sinica, 1999, 48(3): 408-415 |
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| Authors: | HUA CUN-CAI and LU QI-SHAO |
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| Abstract: | In this paper,a new and simple method is presented for studying the semi-classical Laser-Lorenz equations with an injected signal-The pump parameter varies slowly with time,thus it induces delayed bifurcation and transient optical bistability-By scale balancing and approximating to the slowly-varying solution by that of the linearilized system, a scaling transition relation and a condition for transient optical bistability are given-The intervals of values of bifurcation and transition,and hysteresis loops of the transient optical bistability are given by numerical analysis- |
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