Hocker G B, Burns W K
Appl Opt. 1977 Jan 1;16(1):113-8. doi: 10.1364/AO.16.000113.
The effective index method for calculating waveguide mode dispersion is reviewed and applied to uniform rectangular optical waveguides with both small and large index differences. The results are shown to be at least as accurate as other approximate techniques. The effective index method is then applied to channel waveguides assuming 1-D and 2-D diffusion. Channel waveguides without sideways diffusion are shown to be described by the method using a normalized notation and previously published universal dispersion curves. Two-dimensional diffusion theory is applied to treat the case of isotropic sideways diffusion. A new, normalized, 1-D universal chart is obtained which in conjunction with previous results defines waveguide mode dispersion in isotropically diffused 2-D channels.
回顾了用于计算波导模式色散的有效折射率方法，并将其应用于具有小和大折射率差的均匀矩形光波导。结果表明，该结果至少与其他近似技术一样准确。然后将有效折射率方法应用于假设一维和二维扩散的通道波导。结果表明，对于没有侧向扩散的通道波导，该方法使用归一化符号和先前发表的通用色散曲线进行描述。应用二维扩散理论来处理各向同性侧向扩散的情况。获得了一个新的归一化一维通用图表，该图表与先前的结果一起定义了各向同性扩散二维通道中的波导模式色散。
