Pseudospectral beam-propagation method for optical waveguides

IEEE Photonics Technology Letters

Volumn 15, Issue 1, 2003, Pages 60-62

  Deshmukh, Imran ^a   Liu, Qing Huo ^a  

^a Duke University   (United States)

Author keywords

Beam propagation method; Finite element beam propagation method (FE BPM); Optical waveguides; Pseudospectral beam propagation method (PS BPM); Split step fast Fourier transform (FFT)

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FAST FOURIER TRANSFORMS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; LIGHT PROPAGATION; MATHEMATICAL OPERATORS;

PADE APPROXIMATION OPERATOR; PSEUDOSPECTRAL BEAM PROPAGATION METHOD;

OPTICAL WAVEGUIDES;

EID: 0037249017     PISSN: 10411135     EISSN: None     Source Type: Journal    
DOI: 10.1109/LPT.2002.805797     Document Type: Article

References (14)

1. Y. Tsuji and M. Koshiba, "A finite element beam propagation method for strongly guiding and longitudinally varying optical waveguides," J. Lightwave Technol., vol. 11, pp. 1425-1434, Sept. 1993.
2. G. R. Hadley, "Wide-angle beam propagation using Padé approximant operators," Opt. Lett., vol. 17, pp. 217-222, Oct. 1992.
3. S. Yoneta, M. Koshiba, and Y. Tsuji, "Combination of beam propagation method and finite element method for optical beam propagation analysis," J. Lightwave Technol., vol. 17, pp. 2398-2404, Nov. 1999.
4. S. T. Chu and S. Chaudhuri, "A finite difference time domain method for design and analysis of guided wave optical structures," J. Lightwave Technol., vol. 7, pp. 2033-2038, Dec. 1989.
5. Y. Y. Lu and P. L. Ho, "Beam propagation method using a [(p - 1)/p] Padé approximant of the propagator," Opt. Lett., vol. 27, pp. 683-685, May 2002.
6. G. R. Hadley, "Low-truncation-error finite difference equations for photonics simulation I: Beam propagation," J. Lightwave Technol., vol. 16, pp. 134-141, Jan. 1998.
7. B. Yang, D. Gottlieb, and J. S. Hesthaven, "Spectral simulation of electromagnetic wave scattering," J. Comput. Phys., vol. 134, pp. 216-230, 1997.
8. J. S. Hesthaven, P. G. Dinesen, and J. P. Lynov, "Spectral collocation time-domain modeling of diffractive optical elements," J. Comput. Phys., vol. 155, pp. 287-306, 1999.
9. G. X. Fan, Q. H. Liu, and J. S. Hesthaven, "Multi-domain PSTD method for simulation of scattering from buried objects in lossy media," IEEE Trans. Geosci. Remote Sensing, vol. 40, pp. 1366-1373, June 2002.
10. G. Zhao and Q. H. Liu, "The 2.5-D multidomain PSTD algorithm," IEEE Trans. Antennas Propagat., to be published.
11. Ü. Pekel and R. Mittra, "A finite element method frequency domain application of the perfectly matched layer," Microwave Opt. Technol. Lett., vol. 9, pp. 117-122, June 1995.
12. M. Collins, "Higher-order Padé approximations for accurate and stable elastic parabolic equations with application to interface wave propagation," J. Acoust. Soc. Amer., vol. 89, pp. 1050-1057, 1991.
13. D. Yevick, "The application of complex pad approximants to vector field propagation," IEEE Photon. Technol. Lett., vol. 12, pp. 1636-1638, Dec. 2000.
14. D. Gottlieb and S. A. Orszag, Numerical Analysis of Spectral Methods. Philadelphia, PA: SIAM, 1977.