Robust calculation of chromatic dispersion coefficients of optical fibers from numerically determined effective indices using Chebyshev-Lagrange interpolation polynomials

Numerical calculation of chromatic dispersion coefficients of optical fibers is conducted using a procedure involving Chebyshev-Lagrange interpolation polynomials. Only numerically determined effective indices at several wavelengths are needed for obtaining the dispersion curve, and no direct numerical differentiation of the effective refractive index is involved. A silica-filled metallic rectangular waveguide having analytical solutions for the effective refractive index and the chromatic dispersion is used as an example for confirming the accuracy and efficiency of the proposed method. The method is then also applied to the analysis of holey fibers.