Abstract

Field evolution along longitudinally nonuniform finite-cladding fibers of circularly symmetric cross section is analyzed in terms of coupled modes. Local modes are used for abruptly tapered fibers, whereas linear-index fiber modes provide the expansion basis for Kerr-type nonlinear-index fibers. Convergence of the results suggests in both cases that only a finite number of bound modes is sufficient to describe the field adequately. A comparison with simulations given by a finite-difference beam-propagation method that was developed for circularly symmetric waveguides confirms the validity of this assumption.

© 1991 Optical Society of America

Numerical analysis of passive integrated-optical polarization splitters: comparison of finite-element method and beam-propagation method results

L. Bersiner, U. Hempelmann, and E. Strake
J. Opt. Soc. Am. B 8(2) 422-433 (1991)

Beam-propagation algorithm based on the method of lines

J. Gerdes and R. Pregla
J. Opt. Soc. Am. B 8(2) 389-394 (1991)

Comparison of finite-difference and Fourier-transform solutions of the parabolic wave equation with emphasis on integrated-optics applications

R. Scarmozzino and R. M. Osgood
J. Opt. Soc. Am. A 8(5) 724-731 (1991)

Nonlinear coupled-mode equations on a finite interval: a numerical procedure

C. Martijn de Sterke, Kenneth R. Jackson, and B. D. Robert
J. Opt. Soc. Am. B 8(2) 403-412 (1991)

Beam propagation method analysis of transverse-electric waves propagating in a nonlinear tapered planar waveguide

Tian-Tsorng Shi and Sien Chi
J. Opt. Soc. Am. B 8(11) 2318-2325 (1991)