论文信息 - A New Full-Vectorial Higher Order Finite-Difference Scheme for the Modal Analysis of Rectangular Dielectric Waveguides

A New Full-Vectorial Higher Order Finite-Difference Scheme for the Modal Analysis of Rectangular Dielectric Waveguides

This paper presents a new full-vectorial higher order finite-difference scheme for rectangular dielectric waveguides. The method incorporates new difference equations for mesh points that are next to a dielectric interface and points that are near a dielectric corner. Its performance is assessed by means of a number of test problems and compared with that of an existing higher order scheme.

P. Sewell | T.M. Benson | N. Thomas

[1] G. R. Hadley. High-accuracy finite-difference equations for dielectric waveguide analysis II: dielectric corners , 2002 .

[2] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .

[3] A. Sudbø,et al. Why are accurate computations of mode fields in rectangular dielectric waveguides difficult , 1992 .

[4] D. Young,et al. A Survey of Numerical Mathematics , 1988 .

[5] Hugo Hoekstra,et al. Efficient interface conditions based on a 5-point finite difference operator , 1998 .

[6] G. R. Hadley,et al. Full-vector waveguide modeling using an iterative finite-difference method with transparent boundary conditions , 1995 .

[7] Muhammad Nadeem Akram,et al. A new higher order finite-difference approximation scheme for the method of lines , 2001 .

[8] J. H. Wilkinson. The algebraic eigenvalue problem , 1966 .

[9] Yen-Chung Chiang,et al. Improved three-point formulas considering the interface conditions in the finite-difference analysis of step-index optical devices , 2000, Journal of Lightwave Technology.

[10] G. R. Hadley. High-accuracy finite-difference equations for dielectric waveguide analysis I: uniform regions and dielectric interfaces , 2002 .

[11] S. K. Chaudhuri,et al. Full-vectorial mode calculations by finite difference method , 1994 .

[12] G. R. Hadley. Low-truncation-error finite difference equations for photonics simulation. I. Beam propagation , 1997 .