Comparative study of absorbing boundary conditions for the time-domain beam propagation method

IEEE Photonics Technology Letters

Volumn 13, Issue 4, 2001, Pages 314-316

  Shibayama, Jun ^a   Takahashi, Tomokazu ^a   Yamauchi, Junji ^a   Nakano, Hisamatsu ^a  

^a HOSEI UNIVERSITY   (Japan)

Author keywords

Absorbing boundary conditions; Beam propagation method; Time domain analysis

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; OPTICAL WAVEGUIDES; TIME DOMAIN ANALYSIS;

BEAM PROPAGATION METHOD (BPM);

LIGHT PROPAGATION;

EID: 0035303570     PISSN: 10411135     EISSN: None     Source Type: Journal    
DOI: 10.1109/68.917836     Document Type: Article

References (16)

1. G. R. Hadley, "Transparent boundary condition for the beam propagation," Opt. Lett., vol. 16, no. 9, pp. 624-626, 1991.
2. R. L. Higdon, "Absorbing boundary conditions for difference approximations to the multidimensional wave equation," Math. Comput., vol. 47, no. 176, pp. 437-459, 1986.
3. C. Vassallo and F. Collino, "Highly efficient absorbing boundary conditions for the beam propagation method," J. Lightwave Technol., vol. 14, pp. 1570-1577, June 1996.
4. _, "Highly efficient transparent absorbing boundary conditions for finite difference beam propagation method at order four," J. Lightwave Technol., vol. 15, pp. 1958-1965, Oct. 1997.
5. J. P. Bérenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, pp. 185-200, 1994.
6. W. P. Huang et al., "The perfectly matched layer (PML) boundary condition for the beam propagation method," IEEE Photon. Technol. Lett., vol. 8, pp. 649-651, May 1996.
7. O. M. Ramahi, "Complementary operators: A method to annihilate artificial reflections arising from the truncation of the computational domain in the solution of partial differential equations," IEEE Trans. Antennas Propagat., vol. 43, pp. 697-704, July 1995.
8. _, "The concurrent complementary operators method for FDTD mesh truncation," IEEE Trans. Antennas Propagat., vol. 46, pp. 1475-1481, Oct. 1998.
9. O. M. Ramahi and J. Schneider, "Comparative study of the PML and C-COM mesh-truncation techniques," IEEE Microwave Guided Wave Lett., vol. 8, pp. 55-57, Feb. 1998.
10. Y. P. Chiou and H. C. Chang, "Complementary operators method as the absorbing boundary condition for the beam propagation method," IEEE Photon. Technol. Lett., vol. 10, pp. 976-978, July 1998.
11. D. Jiménez and F. Pérez-Murano, "Improved boundary conditions for the beam propagation method," IEEE Photon. Technol. Lett., vol. 11, pp. 1000-1002, Aug. 1999.
12. C. T. Law and X. Zhang, "Concurrent complementary operator boundary conditions for optical beam propagation," IEEE Photon. Technol. Lett., vol. 12, pp. 56-58, Jan. 2000.
13. P. L. Liu, Q. Zhao, and F. S. Choa, "Slow-wave finite-difference beam propagation method," IEEE Photon. Technol. Lett., vol. 7, pp. 890-892, Aug. 1995.
14. F. Ma, "Slowly varying envelope simulation of optical waves in time domain with transparent and absorbing boundary conditions," J. Lightwave Technol., vol. 15, pp. 1974-1985, Oct. 1997.
15. J. Shibayama et al., "Efficient time-domain finite-difference beam propagation methods for the analysis of slab and circularly symmetric waveguides," J. Lightwave Technol., vol. 18, pp. 437-442, Mar. 2000.
16. M. Koshiba, Y. Tsuji, and M. Hikari, "Time-domain beam propagation method and its application to photonic crystal circuit components," J. Lightwave Technol., vol. 18, pp. 102-109, Jan. 2000.