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Journal of Lightwave Technology

Journal of Lightwave Technology

| A JOINT IEEE/OSA PUBLICATION

  • Vol. 18, Iss. 5 — May. 1, 2000
  • pp: 721–

Norm-Conserving Finite-Difference Beam-Propagation Method for TM Wave Analysis in Step-Index Optical Waveguides

Junji Yamauchi, Kenji Matsubara, Takeshi Tsuda, and Hisamatsu Nakano

Journal of Lightwave Technology, Vol. 18, Issue 5, pp. 721- (2000)


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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 ]

Citation
Junji Yamauchi, Kenji Matsubara, Takeshi Tsuda, and Hisamatsu Nakano, "Norm-Conserving Finite-Difference Beam-Propagation Method for TM Wave Analysis in Step-Index Optical Waveguides," J. Lightwave Technol. 18, 721- (2000)
http://www.opticsinfobase.org/jlt/abstract.cfm?URI=jlt-18-5-721

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