Fast analysis of optical waveguides using an improved Fourier series method with perfectly matched layer

Microwave and Optical Technology Letters

Volumn 46, Issue 3, 2005, Pages 263-268

  Jia, Hongting ^a   Zhang, Dan ^a   Yasumoto, Kiyotoshi ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

Fourier series expansion; Optical waveguide; Perfectly matched layer; Periodic structure; Scattering matrix

Indexed keywords

BOUNDARY CONDITIONS; ELECTROMAGNETIC WAVE SCATTERING; ERROR ANALYSIS; FOURIER TRANSFORMS; LINEAR EQUATIONS; MATRIX ALGEBRA; MAXWELL EQUATIONS; PERMITTIVITY;

FOURIER SERIES EXPANSION; PERFECTLY MATCHED LAYER; PERIODIC STRUCTURE; SCATTERING MATRIX;

OPTICAL WAVEGUIDES;

EID: 23844464847     PISSN: 08952477     EISSN: None     Source Type: Journal    
DOI: 10.1002/mop.20961     Document Type: Article

References (17)

1. C.H. Henry and Y. Shani, Analysis of mode propagation in optical waveguide devices by Fourier expansion, IEEE J Quantum Electron QE-27 (1991), 523-530.
2. T. Hosono, T. Hinata, and A. Inoue, Numerical analysis of the discontinuities in slab dielectric waveguides, Radio Sci 17 (1982), 75-83.
3. Y. Yamakita, K. Matsumoto, and K. Rokushima, Analysis of discontinuities in anisotropic dielectric waveguides, IEICE Tech Rep EMT-93-87 (1993), 81-90.
4. K. Yasumoto, T. Miyamoto, and M. Momoda, Full-wave analysis of optical waveguides using periodic boundary conditions, SPIE 3666 (1999), 170-176.
5. K. Yasumoto, K. Waranabe, and J. Ishihara, Numerical analysis of optical waveguides with the use of Fourier-series expansion method combined with perfectly matched layer, Microwave Opt Technol Lett 34 (2002), 422-426.
6. H. Jia and K. Yasumoto, A novel formulation of the Fourier model method in S-matrix form for arbitrary shaped gratings, Int J Infrared Millim Waves 25 (2004), 1591-1609.
7. L.F. DeSandre and J.M. Elson, Extinction-theorem analysis of diffraction anomalies in overcoated gratings, J Opt Soc Am A 8 (1991), 763-777.
8. F. Montiel and M. Nevière, Differential theory of gratings: extension to deep gratings of arbitrary profile and permittivity through the R-matrix propagation algorithm, J Opt Soc Am A 11 (1994), 3241-3250.
9. L. Li, Bremmer series, R-matrix propagation algorithm, and numerical modeling of diffraction gratings, J Opt Soc Am A 11 (1994), 2829-2836.
10. N.P.K. Cotter, T.W. Preist, and J.R. Sambles, Scattering-matrix approach to multilayer diffraction, J Opt Soc Am A 12 (1995), 1097-1103.
11. M.G. Moharam, D.A. Pommet, E.B. Grann, and T.K. Gaylord, Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: Enhanced transmission matrix approach, J Opt Soc Am A 12 (1995), 1077-1086.
12. L. Li, Use of Fourier series in the analysis of discontinuous periodic structures, J Opt Soc Am A 13 (1996), 1870-1876.
13. E. Popov, M. Nevière, B. Gralak, and G. Tayeb, Staircase approximation validity for arbitrary-shaped gratings, J Opt Soc Am A 19 (2002), 33-42.
14. E. Silberstein, P. Lalanne, J.P. Hugonin, and Q. Cao, Use of grating theories in integrated optics, J Opt Soc Am A 18 (2001), 2865-2875.
15. J.P. Berenger, A perfectly matched for the absorption of electromagnetics waves, J Comput Phys 114 (1994), 185-200.
16. W.C. Chew, J.M. Jin, and E. Michieissen, Complex coordinate stretching as a generalized absorbing boundary condition, Microwave Opt Technol Lett 15 (1997), 363-369.
17. T. Saitoh, T. Mukai, and O. Mikami, Theoretical analysis and fabrication of antireflection coatings on laser-diode facets, J Lightwave Technol LT-3 (1985), 288-293.