Efficient boundary conditions for bidirectional propagation algorithm based on fourier series

Journal of Lightwave Technology

Volumn 27, Issue 14, 2009, Pages 2575-2582

  Ĉtyroký, Jir̂í ^a  

^a INSTITUTE OF PHOTONICS AND ELECTRONICS   (Czech Republic)

Author keywords

Integrated optics; Modeling; Optical waveguide theory

Indexed keywords

ABSORBING BOUNDARY CONDITION; CO-ORDINATE TRANSFORMATION; COMPUTATIONAL WINDOWS; EIGEN-MODE EXPANSION; FOURIER-SERIES EXPANSION; MODELING; OPTICAL FIELD DISTRIBUTION; OPTICAL WAVEGUIDE THEORY; PROPAGATION ALGORITHM; WAVEGUIDE DEVICE;

BOUNDARY CONDITIONS; FOURIER ANALYSIS; FOURIER SERIES; HARMONIC ANALYSIS; INTEGRATED OPTICS; INTEGRATED OPTOELECTRONICS; OPTICAL MATERIALS; PHOTONICS; WAVEGUIDES; WINDOWS;

OPTICAL WAVEGUIDES;

EID: 67651159294     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2009.2012409     Document Type: Article

References (17)

1. G. Sztefka and H.-P. Nolting, "Bidirectional eigenmode propagation for large refractive index steps," IEEE Photon. Technol. Lett., vol. 5, no. 5, pp. 554-557, May 1993.
2. P. Bienstman, "Rigorous and efficient modelling of wavelength scale photonic components," Ph.D. thesis, Univ. Ghent, Belgium, 2001.
3. P. Bienstman [Online]. Available: http://camfr.sourceforge.net/, 2003
4. P. Lalanne and E. Silberstein, "Fourier-modal methods applied to waveguide computational problems," Opt. Lett., vol. 25, pp. 1092-1094, 2000.
5. E. Silberstein, P. Lalanne, J. P. Hugonin, and Q. Cao, "Use of grating theories in integrated optics," J. Opt. Soc. Am. A, vol. 18, pp. 2865-2875, 2001.
6. A. Sudbø and P. I. Jensen, "Stable bidirectional eigenmode propagation of optical fields in waveguide devices," in Integr. Photon. Res., Monterey, CA, 1995, pp. IThB4-1-4/27-IThB4-1-4/29.
7. J. Chilwell and I. Hodgkinson, "Thin-films field-transfer matrix theory of planar multilayer waveguides and reflection prism-loaded waveguides," J. Opt. Soc. Amer., vol. A-1, pp. 742-753, 1984.
8. P. Lalanne and G. M. Morris, "Highly improved convergence of the coupled-wave method for TM polarization," J. Opt. Soc. Amer. A, vol. 13, pp. 779-784, 1996.
9. C. Sauvan, P. Lalanne, and J.-P. Hugonin, "Truncation rules for modelling discontinuities with Galerkin method in electromagnetic theory," Opt. Quantum Electron., vol. 36, pp. 271-284, 2004.
10. J. Čtyroký, "Improved bidirectional-mode expansion propagation algorithm based on Fourier series," J. Lightw. Technol., vol. 25, pp. 2321-2330, 2007.
11. J. Čtyroký, I. Richter, and P. Kwiecen, "Critical comparison of three modal methods: Bidirectional eigenmode expansion propagation method, aperiodic rigorous coupled mode analysis, and harmonic expansion method," in Proc. Photon. North 2008, Montreal, Canada, 2008, pp. 70991K1-11.
12. W. C. Chew, J. M. Jin, and E. Michielsen, "Complex coordinate stretching as a generalized absorbing boundary condition," Microw. Opt. Technol. Lett., vol. 15, pp. 383-369, 1997.
13. J. P. Hugonin and P. Lalanne, "Perfectly matched layers as nonlinear coordinate transforms: A generalized formalization," J. Opt. Soc. Amer. A, vol. 22, pp. 1844-1849, 2005.
14. P. Debackere, P. Bienstman, and R. Baets, "Adaptive spatial resolution: Application to surface plasmonwaveguide modes," Opt. Quantum Electron., vol. 38, pp. 857-867, 2006.
15. G. Granet, "Reformulation of the lamellar grating problem through the concept of adaptive spatial resolution," J. Opt. Soc. Amer. A, vol. 16, pp. 2510-2516, 1999.
16. T. Vallius and M. Honkanen, "Reformulation of the Fourier modal method with adaptive spatial resolution: Application to multilevel profiles," Opt. Exp., vol. 10, pp. 24-34, 2002.
17. J. Čtyroký, I. Richter, and M. Šiňor, "Dual resonance in a waveguidecoupled ring microresonator," Opt. Quantum Electron., vol. 38, pp. 781-797, 2006.