Abstract

Recently, a new algorithm for wide-angle beam propagation was reported that allowed grid points to move in an arbitrary fashion between propagation planes and was thus capable of modeling waveguides whose widths or centerlines varied with propagation distance. That algorithm was accurate and stable for TE polarization but unstable for wide-angle TM propagation. This deficiency has been found to result from an omission in one of the wide-angle terms in the derivation of the finite-difference equation and is remedied here, resulting in a complete algorithm accurate for both polarizations.

© 2009 IEEE

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References

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  1. G. R. Hadley, "Slanted-wall beam propagation," J. Lightw. Technol. 25, 2367-2375 (2007).
  2. G. R. Hadley, "Low-truncation-error finite difference equations for photonics simulation I: Beam propagation," J. Lightw. Technol. 16, 134-141 (1998).

2007 (1)

G. R. Hadley, "Slanted-wall beam propagation," J. Lightw. Technol. 25, 2367-2375 (2007).

1998 (1)

G. R. Hadley, "Low-truncation-error finite difference equations for photonics simulation I: Beam propagation," J. Lightw. Technol. 16, 134-141 (1998).

J. Lightw. Technol. (2)

G. R. Hadley, "Slanted-wall beam propagation," J. Lightw. Technol. 25, 2367-2375 (2007).

G. R. Hadley, "Low-truncation-error finite difference equations for photonics simulation I: Beam propagation," J. Lightw. Technol. 16, 134-141 (1998).

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