A novel index-guiding Silica glass-core hexagonal High-Birefringence Photonic Crystal Fiber (HB-PCF) is proposed,
with five rings of standard cladding air circular holes arranged in four formations inspired by the Binary Morse-Thue
fractal Sequence (BMTS). The form birefringence, confinement loss, chromatic dispersion, effective mode area, and
effective normalized frequency are evaluated for the four PCFs operating within (1.8 - 2 μm) eye-safe wavelength range.
Modeling and analysis of the four PCF formations are performed deploying full-vector analysis in Finite Element
Method (FEM) using COMSOL Multiphysics. Respecting fabrication and in light of commercial availability in
designing the proposed PCF structures, a high birefringence of up to (6.549 × 10-3 at 2 μm) is achieved with dispersionfree
single-mode operation. Confinement loss as low as (3.2 × 10-5 - 6.5 × 10-4 dB/m for 1.8 - 2 μm range) is achieved as
well. Comparison against previously reported PCF structures reveals the desirably higher birefringence of our BMTS
HB-PCF. The proposed PCFs are of vital use in various optical systems (e.g.: multi-wavelength fiber ring laser systems,
and tunable lasers), catering for applications such as: optical sensing, LIDAR systems, material processing, optical signal
processing, and optical communication.