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采用全矢量有效折射率法计算光子晶体光纤的色散系数,深入分析了光子晶体光纤色散系数与结构参数之间的关系,发现色散系数随着结构参数的变化具有双极值特性:1)当Λ值保持不变时,随着d/Λ值的减小,零色散波长向长波方向移动,在达到极大值后,则转向短波方向移动,例如当Λ=2.3μm时,极大零色散波长出现在约d/Λ=0.24处,约为1728.9nm,当Λ取不同值时,较小的Λ值,会对应有较大的极大零色散波长;2)当d/Λ值保持不变时,随着Λ值的减小,零色散波长向短波方向移动,在达到极小值后,则转向长波方向移动,例如当d/Λ=0.9时,极小零色散波长出现在约Λ=0.6μm处,约为564.29nm,当d/Λ取不同值时,该比值越大,则会对应着越小的极小零色散波长。这一发现对于优化设计特种光子晶体光纤具有一定的价值。
The full-vector effective refractive index method is used to calculate the chromatic dispersion coefficient of photonic crystal fibers. The relationship between the chromatic dispersion coefficient of photonic crystal fibers and the structure parameters is analyzed. The chromatic dispersion coefficient has the bipolar characteristic with the change of structure parameters: 1) When the value remains constant, the zero-dispersion wavelength moves toward the long-wave direction as the value of d / Λ decreases, and then moves to the short-wave direction when the maximum value is reached. For example, when Λ = 2.3 μm, the maximum zero-dispersion wavelength Appears at about d / Λ = 0.24, about 1728.9nm, when Λ takes different values, the smaller value of Λ corresponds to a larger maximum zero-dispersion wavelength; 2) When d / Λ remains unchanged , As the value of Λ decreases, the zero-dispersion wavelength moves in the direction of shortwave. When the minimum value is reached, it moves in the direction of longwave. For example, when d / Λ = 0.9, the minimum zero-dispersion wavelength appears at about Λ = 0.6μm, about 564.29nm, when d / Λ take different values, the ratio of the larger, it will correspond to the smaller minimum zero-dispersion wavelength. This finding is of some value for the optimization of the design of specialty photonic crystal fibers.