A novel model of hexagonal photonic crystal fiber (PCF) composed of fluoride-doped silicate and plasma materials for estimating the off-axis band structure has been presented. The well-known plane wave expansion (PWE) method has been adopted for the analysis of band structure. We have observed the influence of intensity of field on photonic band gap (PBG) by creating different types of defect in the holes of the PCF structure for the design of waveguide and narrow-band filter. A dynamic shift in bands and photonic band gaps (PBGs) has been reported and compared with other designs. The PCF containing the defect of high index material in the presence of plasma has been found to be more suitable to control the propagation of photon for nonlinear waves. The PWE calculations have shown that the four off-axis PBGs for the different contribution of plasma holes could exceed by 1.0 normalized frequency or they could compensate within 0.24 normalized frequencies on introducing alternate distribution of high index material like SF57 in the cladding.