Song G Hugh, Park Mahn Yong
Department of Information and Communications, Gwangju Institute of Science and Technology, I Orvong-dong, Buk-gu, Gwangju 500-712, Korea.
J Opt Soc Am A Opt Image Sci Vis. 2004 Aug;21(8):1529-44. doi: 10.1364/josaa.21.001529.
An optimized N x N planar optic star coupler that utilizes directional coupling of arrayed waveguides for uniform power splitting is analyzed on the basis of special properties of the involved Bessel-function series. The analysis has provided a remarkably simple, novel basic design formula for such a device with much needed physical insights into the unique diffraction properties. For the analysis of diffraction from the end of directionally coupled arrayed waveguides, many useful formulas around the Bessel functions, such as the addition theorem and the Kepler-Bessel series, have been given in new forms.
一种利用阵列波导的定向耦合实现均匀功率分配的优化N×N平面光学星形耦合器，基于所涉及的贝塞尔函数级数的特殊性质进行了分析。该分析为这种器件提供了一个非常简单、新颖的基本设计公式，并对独特的衍射特性有了急需的物理见解。为了分析定向耦合阵列波导末端的衍射，围绕贝塞尔函数给出了许多有用的公式，如加法定理和开普勒-贝塞尔级数，且形式新颖。
