基于BPM的渐变折射率波导分析
首发时间:2010-01-04
摘要:在前期的基于MEMS闪耀光栅波分复用器的研究基础上,需要对该系统中的渐变折射率波导进行分析从而以便进一步分析该波分复用系统的性能。详细推导了BPM的微分方程,并给出了BPM微分方程的有限差分解的形式。利用图形化编程软件LabVIEW来实现FD-BPM算法,并对已知折射率分布的径向渐变折射率波导进行仿真分析,其结果表明,在高斯光束垂直入射的情况下,该波导中具有稳定的高斯分布光场,其束腰半径成周期变化,并且得出该波导的自聚焦焦距为22um 。
关键词: 物理光学 渐变折射率波导 束传播方法 高斯光束 LabVIEW
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Analysis on Gradient Refractive Index Waveguides Based on BPM
Abstract:Gradient refractive index waveguides need to be analyzed, and accordingly study the performance of wavelength division multiplexer (WDM) based on Micro Electro-Mechanical System (MEMS) blazed grating, such is included gradient index waveguides in structure and studied previously. The BPM differential equation is deduced in detail, at the same time, its finite difference solution is put forward. According to the solution, the finite difference beam propagation method (FDBPM) algorithm is carried out with laboratory virtual instrument engineering workbench (LabVIEW), one of the graphical programming software. And radial gradient refractive index waveguides whose refractive index profile is offered are simulated and analyzed. The results indicate that there has stable Gaussian distribution light field in the waveguides when the vertical incident light beam is Gaussian beam, and the radius of waist is periodic changed. And the results show that the self-focusing focal length of the waveguide is 22um.
Keywords: physical optics gradient refractive index waveguides beam propagation method (BPM) Gaussian beam laboratory virtual instrument engineering workbench (LabVIEW)
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