...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Optical and quantum electronics >Standing waves on a periodic array of circular cylinders with saturable nonlinear media
【24h】

Standing waves on a periodic array of circular cylinders with saturable nonlinear media

机译：具有饱和非线性介质的圆柱体周期阵列上的驻波

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

A standing wave of a periodic dielectric waveguide is a special guided mode with zero Bloch wavenumber. For two-dimension linear and symmetry periodic waveguides, standing waves are protected by symmetry and only exist at a discrete set of frequencies. While for a periodic array of circular cylinders with Kerr nonlinearity, standing waves exist continuously on frequency and there are infinite number of them for each frequency. In this paper, we consider standing waves on a periodic array of circular cylinders made of saturable nonlinear media. We show numerically that the standing waves in Kerr and saturable nonlinear media are mainly different in two ways: (1) their existence about frequency, and (2) the number of them for fixed frequency. A new iterative scheme based on Newton's method is developed to solve the nonlinear problems. Approximate analytical expressions of the amplitude-frequency relations of standing waves in saturable nonlinear media are obtained by a perturbation analysis when amplitudes are small or large.
机译：周期性介质波导的驻波是布洛赫波数为零的特殊引导模式。对于二维线性对称对称波导，驻波受到对称保护，并且仅以离散频率存在。对于具有Kerr非线性的圆柱的周期性阵列，驻波在频率上连续存在，并且每个频率都有无限数量的驻波。在本文中，我们考虑由饱和非线性介质制成的圆柱体的周期性阵列上的驻波。我们用数值方法表明，克尔和可饱和非线性介质中的驻波主要在两个方面有所不同：（1）它们关于频率的存在，以及（2）固定频率的驻波的数量。为解决非线性问题，提出了一种基于牛顿法的迭代算法。当振幅较小或较大时，通过摄动分析获得驻波在饱和非线性介质中的振幅-频率关系的近似解析表达式。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号