Abstract

Nonconservation of power is a perplexing problem in the propagating beam analysis of transverse magnetic (TM) waves in a z -variant step-index optical waveguide. To conserve the power in terms of a squared norm, a modified finite-difference (FD) formula is introduced that allows a general position of a core-cladding interface. The use of the modified formula contributes to a reduction in a field profile error caused by a staircase approximation with subsequent conservation of power, particularly for a symmetrical waveguide. To obtain the power conservation even in the analysis of an asymmetrical waveguide, a z-derivative of the refractive index is taken into account. An asymmetrical taper and tilted waveguides placed in parallel are investigated to validate the present technique.

[IEEE ]

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J. Lightwave Technol. (3)

F. Schmidt, "An adaptive approach to the numerical solution of Fresnel's wave equation", J. Lightwave Technol., vol. 11, pp. 1425-1434, 1993.

J. Haes, R. Baets, C. M. Weinert, M. Gravert, H. P. Nolting, M. A. Andrade, A. Leite, H. K. Bissessur, J. B. Davies, R. D. Ettinger, J. Ctyroky, E. Ducloux, F. Ratovelnomanana, N. Vodjdani, S. Helfert, R. Pregla, F. H. G. M. Wijnands, H. J. W. M. Hoekstra and G. J. M. Krijnen, "A comparison between different propagative schemes for the simulation of tapered step index slab waveguides", J. Lightwave Technol., vol. 14, pp. 1557-1569, 1996.

C. L. Xu, W. P. Huang and S. K. Chaudhuri, "Efficient and accurate vector mode calculations by beam propagation method", J. Lightwave Technol., vol. 11, pp. 1209-1215, 1993.

Opt. Lett. (2)

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