ABCD matrix for reflection and refraction of Gaussian light beams at surfaces of hyperboloid of revolution and efficiency computation for laser diode to single-mode fiber coupling by way of a hyperbolic lens on the fiber tip.
ABCD matrix for reflection and refraction of Gaussian light beams at surfaces of hyperboloid of revolution and efficiency computation for laser diode to single-mode fiber coupling by way of a hyperbolic lens on the fiber tip.
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DOI：
10.1364/ao.36.008582
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发表时间：
1997-11
期刊：
影响因子：
1.9
通讯作者：
S. Gangopadhyay;S. Sarkar
中科院分区：
文献类型：
--
作者：
S. Gangopadhyay;S. Sarkar
我们报道了高斯光束在不同折射率介质的旋转双曲面表面反射和折射的ABCD矩阵的公式。该分析包括任意入射角，并基于匹配界面处的光相位。最后，我们推导出光斑大小和波前半径的表达式，并利用它们得到ABCD矩阵。基于准轴近似下折射率的ABCD矩阵，我们还报道了一个简单的理论研究了激光二极管与单模光纤的耦合效率，其尖端形成了双曲透镜。
We report the formulation of an ABCD matrix for reflection and refraction of Gaussian light beams at the surfaces of the hyperboloid of revolution that separate media of different refractive indices. The analysis includes an arbitrary angle of incidence and is based on matching the optical phase at the interface. Finally, we deduce expressions for spot sizes and wave-front radii and use them to obtain the ABCD matrix. Based on the formulated ABCD matrix for refraction under paraxial approximation, we also report a simple theoretical investigation of the coupling efficiency of a laser diode to a single-mode fiber with a hyperbolic lens formed on its tip.