Yee-mesh-based finite difference eigenmode solver with PML absorbing boundary conditions for optical waveguides and photonic crystal fibers

Optics Express

Volumn 12, Issue 25, 2004, Pages 6165-6177

  Yu, Chin Ping ^a   Chang, Hung Chun ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIELECTRIC MATERIALS; FINITE DIFFERENCE METHOD; INTERFACES (MATERIALS); OPTICAL FIBERS; PHOTONS; VECTORS;

ELECTROMAGNETIC THEORY; FIBER PROPERTIES; MICROSTRUCTURE DEVICES; PERFECTLY MATCHED LAYER (PML); PHOTONIC CRYSTAL FIBERS;

OPTICAL WAVEGUIDES;

EID: 11244296250     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OPEX.12.006165     Document Type: Article

References (24)

1. C. L. Xu, W. P. Huang, M. S. Stern, and S. K. Chaudhuri, "Full-vectorial mode calculations by finite difference method," Inst. Elec. Eng. Proc.-J 141, 281-286 (1994).
2. P. Lüsse, P. Stuwe, J. Schüle, and H.-G. Unger, "Analysis of vectorial mode fields in optical waveguides by a new finite difference method," J. Lightwave Technol. 12, 487-494 (1994).
3. K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propagat. AP-14, 302-307 (1966).
4. T. Ando, H. Nakayama, S. Numata, J. Yamauchi, and H. Nakano, "Eigenmode analysis of optical waveguides by a Yee-mesh-based imaginary-distance propagation method for an arbitrary dielectric interface," J. Lightwave Technol. 20, 1627-1634 (2002).
5. Z. Zhu and T. G. Brown, "Full-vectorial finite-difference analysis of microstructured optical fibers," Opt. Express 10, 853-864 (2002), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-17-853
6. H. C. Chang and C. P. Yu, "Yee-mesh-based finite difference eigenmode analysis algorithms for optical waveguides and photonic crystals," in OSA Integr. Photon. Res. Dig., 2004, paper IFE4.
7. J. C. Knight, T. A. Birks, P. St. J. Russell, and D. M. Atkin, "All-silica single-mode optical fiber with photonic crystal cladding," Opt. Lett. 21, 1547-1549 (1996).
8. T. P. White, B. T. Kuhlmey, R. C. Mcphedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, "Multipole method for microstructured optical fibers. I. Formulation," J. Opt. Soc. Am. B 19, 2322-2330 (2002).
9. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Computat. Phys. 114, 185-200 (1994).
10. th Asia-Pacific Engineering Research Forum on Microwaves and Electromagnetic Theory, pp. 158-164, Kyushu University, Fukuoka, Japan, July 29-30, 2004.
11. S. Guo, F. Wu, and S. Albin, "Loss and dispersion analysis of microstructured fibers by finite-difference method," Opt Express 12, 3341-3352 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-15-3341
12. W. C. Chew and W. H. Weedon, "A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates," Microwave Opt. Technol. Lett 7, 599-604 (1994).
13. R. Mittra and U. Pekel, "A new look at the perfectly matched layer (PML) concept for the reflectionless absorption of electromagnetic waves," IEEE Microwave Guided Wave Lett 5, 84-86 (1995).
14. C. M. Rappaport, "Perfectly matched absorbing boundary conditions based on anisotropic lossy mapping of space," IEEE Microwave Guided Wave Lett. 5, 90-92 (1995).
15. Y. P. Chiou, Y. C. Chiang, and H. C. Chang, "Improved three-point formulas considering the interface conditions in the finite-difference analysis of step-index optical devices," J. Lightwave Technol. 18, 243-251 (2000).
16. Y. C. Chiang, Y. P. Chiou, and H. C. Chang, "Improved full-vectorial finite-difference mode solver for optical waveguides with step-index profiles," J. Lightwave Technol. 20, 1609-1618 (2002).
17. G. R. Hadley, "High-accuracy finite-difference equations for dielectric waveguide analysis I: Uniform regions and dielectric interfaces," J. Lightwave Technol. 20, 1210-1218 (2002).
18. G. R. Hadley, "High-accuracy finite-difference equations for dielectric waveguide analysis II: Dielectric corners," J. Lightwave Technol. 20, 1219-1231 (2002).
19. Ditkowski, J. S. Hesthaven, and C. H. Teng, "Modeling dielectric interfaces in the FDTD-method: A comparative study," in 2000 Progress in Electromagnetics Research (PIERS 2000) Proceedings, Cambridge, Massachusetts, July 5-14, 2000.
20. K. Saitoh and M. Koshiba, "Full-vectorial imaginary-distance beam propagation method based on a finite element scheme: Application to photonic crystal fibers," IEEE J. Quantum Electron. 38, 927-933 (2002).
21. M. Koshiba and K. Saitoh, "Numerical verification of degeneracy in hexagonal photonic crystal fibers," IEEE Photon. Technol. Lett. 13, 1313-1315 (2001).
22. R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, "Singlemode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
23. K. Saitoh, N. A. Mortensen, and M. Koshiba, "Air-core photonic band-gap fibers: the impact of surface modes," Opt. Express 12, 394-400 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-3-394
24. H. K. Kim, J. Shin, S. Fan, M. J. F. Digonnet, and G. S. Kino, "Designing air-core photonic-bandgap fibers free of surface modes," IEEE J. Quantum Electron. 40, 551-556 (2004).