光子学报
光子學報
광자학보
ACTA PHOTONICA SINICA
2007年
7期
1219-1223
,共5页
李连煌%郭福源%胡林顺%王力翔
李連煌%郭福源%鬍林順%王力翔
리련황%곽복원%호림순%왕력상
导波光学%光束参量%近场模场半径%远场发散角角半径%光束传输因子
導波光學%光束參量%近場模場半徑%遠場髮散角角半徑%光束傳輸因子
도파광학%광속삼량%근장모장반경%원장발산각각반경%광속전수인자
Guided optics%Beam parameters%Mode field radius in the near field%Angular radius of far field divergence%Beam propagation factor
本文采用指数函数拟合光纤基模端面衍射场光束参量与光纤基本参数的关系,分别得到了各个光束参量与光纤归一化频率V和光纤芯层半径a关系的解析表达式.把曲线拟合得到的基于V和a表达的解析函数的计算结果,与基于光纤芯层参量U、包层衰减参量W和光纤芯层半径a表达的解析函数的计算结果相比,当1.5<V<9.4,最大相对误差都小于2%.这些表达式可为快速分析和计算光纤基模端面衍射光束参量提供理论支持.
本文採用指數函數擬閤光纖基模耑麵衍射場光束參量與光纖基本參數的關繫,分彆得到瞭各箇光束參量與光纖歸一化頻率V和光纖芯層半徑a關繫的解析錶達式.把麯線擬閤得到的基于V和a錶達的解析函數的計算結果,與基于光纖芯層參量U、包層衰減參量W和光纖芯層半徑a錶達的解析函數的計算結果相比,噹1.5<V<9.4,最大相對誤差都小于2%.這些錶達式可為快速分析和計算光纖基模耑麵衍射光束參量提供理論支持.
본문채용지수함수의합광섬기모단면연사장광속삼량여광섬기본삼수적관계,분별득도료각개광속삼량여광섬귀일화빈솔V화광섬심층반경a관계적해석표체식.파곡선의합득도적기우V화a표체적해석함수적계산결과,여기우광섬심층삼량U、포층쇠감삼량W화광섬심층반경a표체적해석함수적계산결과상비,당1.5<V<9.4,최대상대오차도소우2%.저사표체식가위쾌속분석화계산광섬기모단면연사광속삼량제공이론지지.
The exponential function is used to fit the curves between the beam parameters in the diffractive field of LP01 mode fiber end surface and the basic parameters of fiber. The fitting function between mode field radius in the near field, angular radius of far field divergence, beam propagation factor and the normalized frequency with the core layer radius are obtained respectively. The computed results from the fitting functions are very close to that from the analytical functions, when 1.5 <V< 9.4, the maximal relative error is smaller than 2%. In a certain degree, these conclusions will provide academic foundation for analyzing or calculating the beam parameters approximately.