Abstract

A modified analytical transfer matrix method (ATMM) is extended to investigate the LP_lm modes of weakly guiding optical fibers with arbitrary graded-index profile. Two classes of eigenvalue equation with respect to azimuthal number l = 0 and l not = 0 are developed, respectively. It is confirmed that the phase shift at a turning point in optical fibers is equal to pi as well as in planar optical waveguides. The existence of the phase shift at the center of the core in optical fibers, which is equal to 2 arctan 2 for the case of l = 0 , is also demonstrated. Moreover, a numerical comparison with the available reference solution shows that the proposed method is exact.

© 2005 IEEE

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