Modified step-theory for investigating mode coupling mechanism in photonic crystal waveguide taper

Optics Express

Volumn 14, Issue 13, 2006, Pages 211-230

  Khoo, E H ^a   Liu, A Q ^a   Wu, J H ^a   Li, J ^b   Pinjala, D ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b INSTITUTE OF MICROELECTRONICS   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL STRUCTURE; LIGHT TRANSMISSION; MATHEMATICAL MODELS; OPTICAL SYSTEMS;

PHOTONIC CRYSTAL STRUCTURES; POWER LOSS; TRANSMISSION SPECTRUM;

OPTICAL WAVEGUIDES;

EID: 33745442560     PISSN: 10944087     EISSN: 10944087     Source Type: Journal    
DOI: None     Document Type: Review

References (30)

1. J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, "Photonic crystals: putting a new twist on light," Nature, 386, 143 (1997)
2. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).
3. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Channel add-drop filters in photonic crystal," Opt. Express 3, 4-11 (1998).
4. M. Bayindir, B. Temelkuran, and E. Ozbar, "Photonic-crystal-based beam splitter," Appl. Phys. Lett. 77, 3902-3904 (2000).
5. Y. Akahane, M. Mochizuki, T. Asano, Y. Tanaka, and S. Noda, "Design of a channel drop filter by using a donor-type cavity with high-quality factor in a two-dimensional photonic crystal slab," Appl. Phys. Lett. 82, 1341-1343 (2003).
6. S. G. Johnson, P. R. Villeneuve, S. H. Fan, and J. D. Joannopoulos, "Linear waveguide in photonic crystal slab," Phys. Rev. B 62, 8212-8222 (2000).
7. A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High Transmission through sharp bends in Photonic Crystal Waveguide," Phys. Rev. Lett. 77, 3787-3790 (1996).
8. T. D. Happ, M. Kamp, and A. Forchel, "Photonic crystal tapers for ulrracompact mode conversion," Opt. Lett. 26, 1102-1104 (2001).
9. S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos "Adiabatic theorem and continuous coupled mode theory for efficient taper transition," Phys. Rev. E 66, 066608 (2002).
10. P. Bienstman, S. Assefa, S. G. Johnson, J. D. Joannopoulos, G. S. Petrich, and L. A. Kolodziejski, "Taper structures for coupling into photonic crystal slab waveguide," Opt. Soc. Am. B 20, 1817-1821 (2003).
11. P. Pottier, I. Ntakis, and R. M. De La Rue, " Photonic crystal continuous taper for low-loss direct coupling into photonic crystal channel waveguides and further device functionality," Opt. Commun. 223, 339-347 (2003).
12. E. H. Khoo, A. Q. Liu, and J. H. Wu, " Nonuniform photonic crystal taper for high efficient mode coupling," Opt. Express 13, 7748-7759 (2005).
13. Ph. Lalanne, and A. Talneau, "Modal conversion with artificial materials for photonic-crystal waveguide," Opt. Express 10, 354-359 (2002).
14. M. Palamaru, and Ph. Lalanne, "Photonic crystal waveguides: out-of-plane losses and adiabatic mode conversion," Appl. Phys. Lett. 78, 1466-1468 (2001).
15. M. Skorobogatiy, S. G. Johnson, S. A. Jacobs, and Y. Fink, "Dielectric profile variations in high-index-contrast waveguides, coupled mode theory, and perturbation expansions," Phys. Rev. E 67, 046613 (2003).
16. M. Skorobogatiy, "Modeling the impact of imperfections in high-index-contrast photonic crystal waveguides," Phys. Rev. E 70, 046609 (2004).
17. A. A Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. Martin de Sterke, "Effects of disorder on wave propagation in two-dimensional photonic crystals," Phys. Rev. E 60, 6118 (1999).
18. A. A Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. Martin de Sterke, "Effects of geometric and refractive index disorder on wave propagation in two-dimensional photonic crystals," Phys. Rev. E 62, 5711 (2000).
19. M. Koshiba, Y. Tsuji, and M. Hikari, "Time-domain beam propagation method and its application to photonic crystal circuits," J. Lightwave Technology 18, 102-110 (2000).
20. T. Fujisawa, and M. Koshiba, "Time-domain beam propagation method for nonlinear optical propagation analysis and its application to photonic Crystal circuits," J. Lightwave Technol. 22, 684-691 (2004).
21. A. F. Milton, and W. K. Burns, "Mode Conversion in planar dielectric separating waveguides," IEEE J. Quantum Electron. 11, 32-39 (1975).
22. A. R. Nelson, "Coupling optical waveguides by tapers," Appl. Opt. 14, 3012-3015 (1975).
23. D. Marcuse, Theory of Dielectric Optical Waveguide (Academic Press, San Diego, 1991).
24. O. Mitomi, K. Kasaya, and H. Miyazawa, "Design of a single-mode tapered waveguide for low-loss chip-to-fiber coupling," IEEE J. Quantum Electron. 30, 1787-1793 (1994).
25. J. David Jackson, Classical Electrodynamics (John Wiley & Sons, United States of America, 1998).
26. A. Mekis, S. Fan, and J. D. Joannopoulos, "Bound states in photonic crystal waveguides and waveguide bends," Phys. Rev. B 58, 4809-4817 (1998).
27. M. Qiu, K. Azizi, A. Karlsson, M. Swillo, and B. Jaskorzynska, "Numerical studies of mode gaps and coupling efficiency for line-defect waveguides in two-dimensional photonic crystals," Phys. Rev. B 64, 155113 (2001).
28. S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, "Guiding 1.5 mu;m light in photonic crystals based on dielectric rods," Appl. Phys. Lett. 85, 6110-6112 (2004).
29. P. Bienstman, and R. Baets, "Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers," Opt. and Quantum Electron., 33, 327-341 (2001).
30. A. Lavrinenko, P. Borel, L. Frandsen, M. Thorhauge, A. Harpøth, M. Kristensen, T. Niemi, and H. Chong, "Comprehensive FDTD modelling of photonic crystal waveguide components," Opt. Express 12, 234-248 (2003).