Numerical analysis of Bragg fibers using a compact 1D finite-difference frequency-domain method

A simple full vectorial finite-difference frequency-domain method is presented for dispersion and loss analysis of Bragg fibers. In both axial and azimuthal directions, the derivatives of the Maxwell's equations are calculated analytically, and the solution of Maxwell's equations is reduced to a 1D eigenvalue problem. Standard step-index and graded-index fibers with parabolic-index cores are analyzed to verify the validity of this method to round symmetric fibers with arbitrary index profiles. Numerical results on the mode propagation characteristics of Bragg fibers are found to agree very well with those obtained by transfer matrix method and Chew's method.