Abstract

A general relation considering an interface condition between a sampled point and its nearby points in the finite-difference analysis of optical waveguides is derived. Our formulation is a full-vectorial one, and the interface can be oblique to the global coordinate axes or even can be with curvature. Using the derived formulation, optical waveguide structures with arbitrary step-index profiles can be dealt with. The validity of the proposed method is examined by comparing the numerical calculation with the analytical solution of a step-index optical fiber. The method is also applied to the analysis of fused fiber-optic couplers and compared with prior analysis using the surface integral equation method.

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J. Lightwave Technol. (9)

G. R. Hadley and R. E. Smith, "Full-vector waveguide modeling using an iterative finite-difference method with transparent boundary conditions", J. Lightwave Technol., vol. 13, pp. 465-469, Mar. 1995.

S. Sujecki, T. M. Benson, P. Sewell and P. C. Kendall, "Novel vectorial analysis of optical waveguides", J. Lightwave Technol., vol. 16, pp. 1329-1335, July 1998 .

J. Yamauchi, G. Takahashi and H. Nakano, "Full-vectorial beam-propagation method based on the McKee-Mitchell scheme with improved finite-difference formulas", J. Lightwave Technol., vol. 16, pp. 2458-2464, Dec. 1998 .

Y.-P. Chiou, Y.-C. Chiang and H.-C. Chang, "Improved three-point formulas considering the interface conditions in the finite-difference analysis of step-index optical devices", J. Lightwave Technol., vol. 18, pp. 243-251, Feb. 2000.

C. Vassallo and J. M. van der Keur, "Comparison of a few transparent boundary conditions for finite-difference optical mode-solvers", J. Lightwave Technol., vol. 15, pp. 397-402, Feb. 1997.

M. Eisenmann and E. Weidel, "Single-mode fused biconical coupler optimized for polarization beamsplitting", J. Lightwave Technol., vol. 9, pp. 853-858, July 1991.

T.-L. Wu and H.-C. Chang, "Vectorial analysis of form birefringence of weakly fused fiber-optic couplers", J. Lightwave Technol., vol. 13, pp. 687-691, Apr. 1995.

S.-W. Yang and H.-C. Chang, "Numerical modeling of weakly fused fiber-optic polarization beamsplitters-Part I: Accurate calculation of coupling coefficients and form birefringence", J. Lightwave Technol., vol. 16, pp. 685-690, Apr. 1998.

W. W. Lui, C.-L. Xu, W.-P. Huang, K. Yokoyama and S. Seki, "Full-vectorial mode analysis with considerations of field singularities at corners of optical waveguides", J. Lightwave Technol., vol. 17, pp. 1509-1513, Aug. 1999.

Opt. Lett. (1)

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