光纤基模光强分布等容性质的广义证明

A General Proof of the Intensity Distribution Featurefor Fundamental Mode of Equal-Volume Profile Fibers

应用高斯近似理论，本文解析分析了任意折射率剖面光纤的基模的光强分布性质，导出了关于等折射率剖面容量的任意光纤之间，基模的光强分布一致地趋于重合的普适性判据，即２∫＾１ｆ＾２（Ｒ）ＲｄＲ≤０．２，这种情形下基模的归一化模斑半径为「２ｌｎ（Ｖ√Ω／π／ρ）」＾１／２。

With the Gaussian-approximation method, the characteristics of intensity distribution of fundamental mode of fibers has been generally analyzed. Thegeneral condition for equal-volume fibers of any profiles to have the same intensitydistribution of fundamental mode has been derived. Under this condition. the normalized spot radius of fundamental mode is nearly [2In(V /P)]-1/2 (relativeerror being smaller than 10%) .