Design Of Photonic Crystal Fibers Based On The Empirical Relations

Some dispersion parameters of photonic crystal fibers (PCFs) are expressed using the normalized forms according to the properties of PCFs, including the group-velocity geometrical dispersion parameter, the third-order geometrical dispersion parameter and the differential geometrical dispersion parameter, which will simplify the dispersion calculation. PCFs with the appropriate design of the hole pitch and the ratio of the air-hole diameter to the hole pitch based on the empirical relations of PCFs are provided, which can simultaneously compensate the the group-velocity dispersion (GVD) and the third-order dispersion of the typical conventional single-mode fibers (CSFs) over a 95-nm spectral range of C-band and L-band (about 1530 nm to 1625 nm). If the ratio of the length of PCF to CSF is 1:7, the normalized residual GVD and the normalized residual third-order dispersion after the compensation by a period of dispersion map is—0.0119 to 0.0197 ps~2/km and 0.0001 to 0.0013 ps~3/km respectively. The tapered PCFs, which can accurately support the propagation of fundamental soliton pulses, are also obtained. The research methods and results have some consultative value for designing PCFs quickly and flexibly which are applied to the different fiber-optic fields.