摘要
应用有效折射率模型和传统经验关系相结合的方法研究不同结构的光子晶体光纤(PCF)传输特性.通过改变光子晶体光纤的结构参数,从而得到不同的纤芯有效半径aeff和占空比d/Λ.分析纤芯有效半径和占空比不同情况下的光子晶体光纤的归一化频率、包层有效折射率、纤芯有效折射率和数值孔径随波长的变化规律.再以纤芯有效折射率为例,将该方法的计算结果和有限元法的计算结果进行对比分析,结果表明在占空比小于0.4且纤芯有效半径小于1.1547时,全波长范围内两种方法计算结果的绝对误差数量级为10-3.随着占空比和纤芯有效半径的增大,两种计算结果的绝对误差也逐渐增大.
The transmission characteristics of photonic crystal fibers（ PCF） with different structural parameters are studied by using the effective-index model of PCF and empirical relations. The equivalent core radius（ aeff） and the relative hole size（ d /Λ） of PCF are obtained by changing the structural parameters. It is mainly discussed that the transmission characteristics include the normalized frequency,the effective cladding index,the effective core index and the numerical aperture change with wavelength. Taking the effective core index for example to compare the results of the effective-index model of PCF and empirical relations and the results of the Finite Element Method,the contrast analysis indicates that the value of the absolute error between the two methods is 10^-3 if the d / Λ is less than 0. 4 and the aeff is less than1. 1547. The absolute error increases as the d / Λ and the aeff.
出处
《哈尔滨师范大学自然科学学报》
CAS
2016年第1期93-98,110,共7页
Natural Science Journal of Harbin Normal University
基金
黑龙江省自然科学基金(ZD201401)
