NUMERICAL CALCULATION OF EFFECTIVE AREA OF FUNDAMENTAL MODE OF PHOTONIC CRYSTAL FIBERS

The fundamental mode effective area of photonic crystal fiber (PCF) is calculated numerically using the cubic polynomial correction function as the correction factor of Marcuse and Petermann II equations. The numerical calculations are implemented using modified Marcuse and Petermann II methods for six different PCFs in the 1-2 um wavelength range. The full-vectorial finite element method-based simulations are utilized to determine the effective area and coefficients of the cubic polynomial functions. After using the correction functions, by comparing the calculated effective area values with the values from the simulations, residuals of correction are obtained in the range of -1.1110 mu m(2)+2.6610 um and -1.4x10-3 mu m(2) +5.11210 mu m(2) respectively. These low residual values indicate that the offered method can be used successfully to calculate the wavelength-dependent effective mode area of PCFs in the investigated wavelength range without using simulations and complex theory.