Novel index-guiding photonic crystal fibers (PCF) with rings of cladding holes (circularly or elliptically shaped) arranged in the Fibonacci series are proposed. The dispersion, confinement losses, and generated birefringence in PCFs are evaluated for light signal at 1.55-μm wavelength, by employing alterations in various design parameters. Full-vector analysis using anisotropic perfectly matched layers is performed to validate the accuracy of the modeled PCFs in a finite-difference time-domain environment. For such PCF modeling, the lower value of dispersion is found to be 7.311 ps nm~(-1) km~(-1), and the zero-dispersion wavelength is shifted to lower infrared region in accordance with variation in the hole diameter-to-pitch ratio.
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