论文标题
抛物线媒体中的Laguerre-Gaussian波传播
Laguerre-Gaussian wave propagation in parabolic media
论文作者
论文摘要
我们报告了一套新的拉瓜仪波弹，它们在弱指导性不均匀介质中以周期性的自我关注和有限的光束宽度传播。这些波包是具有抛物线折射率指数的介质的波动方程的近端形式的解决方案。梁宽度定义为与谐波振荡器相关的Ermakov方程的解，因此其幅度由培养基不均匀性的强度调节。用于同质介质的常规拉瓜仪模式被恢复为一种特殊情况。
We report a new set of Laguerre-Gaussian wave-packets that propagate with periodical self-focusing and finite beam width in weakly guiding inhomogeneous media. These wave-packets are solutions to the paraxial form of the wave equation for a medium with parabolic refractive index. The beam width is defined as a solution of the Ermakov equation associated to the harmonic oscillator, so its amplitude is modulated by the strength of the medium inhomogeneity. The conventional Laguerre-Gaussian modes, available for homogenous media, are recovered as a particular case.
