改进的全矢量有效折射率方法分析光子晶体光纤的色散特性

Dispersion analysis of photonic crystal fiber using improved full-vectorial effective index method

得到了全矢量有效折射率方法中归一化等效纤芯半径(p/Λ)随归一化空气孔直径(d/Λ)和归一化频率(Λ/λ)的变化关系,修正了p/Λ为固定值的不合理取法,得到了改进的全矢量有效折射率方法(IFVEIM).用IFVEIM计算的基模有效折射率和总色散等模式特性与多极法的结果和试验值相比较都具有很好的一致性,将基模有效折射率的误差减小了2—3个数量级.用IFVEIM详细地分析了光子晶体光纤的色散特性,得到了色散值、波长、孔间距、d/Λ之间的相互变化关系.

The relation of normalized core radius （p/Λ） with hole-to-pitch ratio （d/Λ） and normalized frequency （Λ/λ） is obtained using full-vectorial effective index method. The illogical fixed valve of plA is modified, and an improved full-vectorial effective index method is proposed. The modal properties computed using this method, such as the effective index and total dispersion, closely agree with those of the multi-pole method as well the experimental values, and the error of effective index was reduced by two to three orders. The dispersion of photonie crystal fiber is analyzed in detail, and the relations of dispersion with wavelength, hole pitch and d/Λ is obtained.