单模光纤色散的解析形式

根据波导标量解本征值方程及其递推关系，提出一种利用Gloge关系求解单模光纤中波导色散的理论方法，给出了色散的解析形式，通过分析归一化传输常数的近似解与精确解间的差别论证了这种解析法具有精确求解的计算精度，给出普通单模光纤（G．652）光纤色散的实验数据，并与计算的色散解析解曲线加以比较，二者达到极好的吻合，利用所得到的结果，分析了数值微分法和经验公式的计算精度。

Analytic Resolution of Waveguide Dispersion in Single Mode Fiber

Based on the eigenvalue equation equation of waveguide for scalar quantity and the recursion relation of its eigen\|functions, a kind of theoretical method, by which waveguide dispersion in single mode fiber can be analytically solved by means of the equation called D. Gloge model, is put forward and the analytic solution of the dispersion in single mode fiber is given out. It shows that the analytic method can almost precisely solve dispersion problem of single mode fiber by analysis of a difference between approximate and accurate solution of the normalized transmission constant. Experimental data and calculated curve of the dispersion about general single mode fiber (G.652) is compared and they dovetail very well. By use of the result, the calculating precision of numeric differential method and empirical formula is analyzed.