Optimization of mesh density to design photonic crystal fiber employing finite element method (Abstract: In this work, a detailed investigation of photonic crystal fiber (PCF) with different mesh systems and degrees of freedom (DoF) is studied to optimize mesh density and computational efficiency. The variation of numerical results is analysed using the finite element method (FEM). Fused silica as a cladding material was used to design the hollow core PCF and optimised for wavelength λ=1.55 μm in the FEM analysis. Triangular mesh with growth rate (G r ) up to G r =3.95 and maximum mesh element size (m L ) ranging from m L= λ to m L= 14λ is used in the FEM study. The study shows field intensity deviation as high as ~100V/m and mode purity deviation up to 0.002%. This study proves that the optimization of mesh density is very important to propose an effective PCF and electronic devices and its effect on the deviation of the numerical outcome.