在Kerr-Gires-Tournois干扰仪的延迟代数模型中,平方波和Bykov T点
Mina Stöhr1, Elias R Koch2, Julien Javaloyes3
1Weierstrass Institute, Mohrenstrasse 39, 10117 Berlin, Germany.
Chaos (Woodbury, N.Y.)
|November 1, 2023
概括
这项研究揭示了使用先进的数学技术,如何在微腔中形成正方形波. 它解释了复杂的波浪行为及其与系统参数的联系.
科学领域:
- 非线性光学是一种非线性光学.
- 洞穴量子电动力学是什么意思
- 理论物理学的理论物理.
背景情况:
- 垂直发射的微腔对于光学设备至关重要.
- 使用Kerr介质的Gires-Tournois共振器表现出复杂的动态.
- 光学反和注射显著影响腔的行为.
研究的目的:
- 从理论上研究正方形波形成的机制.
- 在微洞中分析正方形波溶液,使用Kerr非线性,延迟反和脱节注入.
- 阐明同临床分叉和T点在产生复杂波形模式中的作用.
主要方法:
- 时间延迟系统的理论分析.
- 应用同临床分叉理论. 同临床分叉理论的应用.
- 对较大的延迟极限的相对同临床解决方案的研究.
- 对Bykov T点和Maxwell点的分析.
主要成果:
- 方波解决方案与相对同临床解决方案有关.
- 解释了方形波的倒塌的蛇形场景.
- 复杂形状的多稳定方形波解决方案来自于Bykov T点.
- T点的位置与麦克斯韦点相关.
结论:
- 同性临床分叉理论为理解正方形波形成提供了一个框架.
- 比科夫T点是多稳定方形波动态的关键.
- 这项研究提供了对微腔体光学输出控制的见解.
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