Modeling and optimization of complex photonic resonant cavity circuits

Optics Express

Volumn 11, Issue 4, 2003, Pages 381-391

  Sumetsky, M ^a   Eggleton, B J ^b  

^a OFS LABORATORIES   (United States)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFRACTION GRATINGS; EIGENVALUES AND EIGENFUNCTIONS; LIGHT PROPAGATION; LITHOGRAPHY; NETWORKS (CIRCUITS); NONLINEAR OPTICS; OPTICAL SYSTEMS; OPTIMIZATION; PHOTONS; QUANTUM THEORY; REFRACTIVE INDEX;

PHOTONIC CRYSTALS; QUASI-EIGENWAVELENGTH; RESONANT CAVITY CIRCUITS; SUPERSTRUCTURE GRATINGS;

CAVITY RESONATORS;

EID: 2942720724     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OE.11.000381     Document Type: Article

References (29)

1. N. Stefanou and A. Modinos, "Impurity bands in photonic insulators," Phys. Rev. B 57, 12127 (1998).
2. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis," Opt. Lett. 24, 711 (1999).
3. M. Bayindir, B. Temelkuran, and E. Ozbay, "Tight-binding description of the coupled defect modes in three-dimensional photonic crystals," Phys. Rev. Lett. 84, 2140 (2000).
4. E. Ozbay, M. Bayindir, I. Bulu, and E. Cubukcu, "Investigation of localized coupled-cavity modes in two-dimensional photonic bandgap structures," IEEE J. Quant. Electron. 38, 837 (2002).
5. S. Lan, S. Nishikawa, and H. Ishikawa, "Design of impurity band-based photonic crystal waveguides and delay lines for ultrashort optical pulses," J. Appl. Phys. 90, 4321 (2001).
6. S. Mookherjea and A. Yariv, "Coupled resonator optical waveguides," IEEE J. Sel. Topics in Quant. Electron. 3, 448 (2002).
7. K. Hosomi and T. Katsuyama, "A dispersion compenstor using coupled defects in a photonic crystal,", IEEE J. Quant. Electron. 38, 825 (2002).
8. M. Soljačić, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, "Photonic- crystal slow-light enhancement of non-linear phase sensitivity," J. Opt. Soc. Am. B19, 2052 (2002).
9. S. Oliver, C. Smith, M. Rattier, H. Benisty, C. Weisbuch, T. Krauss, R. Houdré, and U.Oesterlé, "Miniband transmission in a photonic crystal coupled-resonator optical waveguide," Opt. Lett. 26, 1019 (2002).
10. S. Nishikawa, S. Lan, N. Ikeda, Y. Sugimoto, H. Ishikawa, and K. Asakawa, "Optical characterization of photonic crystal delay lines based on one-dimensional coupled defects," Opt. Lett. 27, 2079 (2002).
11. C. M. de Sterke, "Superstructure gratings in the tight-binding approximation," Phys. Rev. E 57, 3502 (1998).
12. R. Slavic and S. LaRochelle, "Large-band periodic filters for DWDM using multiple-superimposed fiber Bragg gratings," IEEE Photon. Technol. Lett. 14, 1704 (2002).
13. N. W. Ashcroft and N. D. Mermin, Solid state physics, (Saunders College, Philadelphia, 1976).
14. L. P. Kouwenhoven, C. M. Marcus, P. L. McEuen, S. Tarucha, R. M. Westervelt, and N. S. Wingreen, "Electron Transport in Quantum Dots," Proceedings of the NATO Advanced Study Institute on Mesoscopic Electron Transport, edited by L. L. Sohn, L. P. Kouwenhoven, and G. Schön, 1997, pp. 105-214.
15. Y. Xu, R. K. Lee, and A. Yariv, "Adiabatic coupling between conventional dielectric waveguides and waveguides with discrete translational symmetry," Opt. Lett. 25, 755 (2000).
16. A. Mekis and J. D. Joannopoulos, "Tapered couplers for efficient interfacing between dielectric and photonic crystal waveguides," J. Lightwave Technol. 19, 861 (2001).
17. D. W. Prather, J. Murakowski, S. Shi, S. Venkataraman, A. Sharkawy, C. Chen, and D. Pustai, "Highly-efficiency coupling structure for a single-line-defect photonic-crystal waveguide," Opt. Lett. 27, 1601 (2002).
18. P. Sanchis, J. Marti, J. Blasco, A. Martinez, and A. Garcia, "Mode matching technique for highly efficient coupling between dielectric waveguides and planar photonic crystal circuits," Opt Express 10, 1391 (2002).
19. L. D. Landau and E. M. Lifshitz, Quantum mechanics, (Pergamon Press, 1958, pp. 440-449).
20. M. Sumetskii, "Modeling of complicated nanometer resonant tunneling devices with quantum dots", J.Phys.: Condens. Matter 3, 2651 (1991).
21. M. Sumetskii, "Resistance resonances for resonant-tunneling structures of quantum dots, Phys. Rev. B 48, 4586 (1993).
22. M. Sumetskii, "Narrow current dip for the double quantum dot resonant tunneling structure with three leads: Sensitive nanometer Y-branch switch," Appl. Phys. Lett. 63, 3185 (1993).
23. G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, "Optical delay lines based on optical filters,", IEEE J. Quant Electron. 27, 525 (2001).
24. R. Kashyap, Fiber Bragg Gratings, (Academic Press, 1999).
25. G. Lenz and C. K. Madsen, "General optical all-pass filter structures for dispersion control in WDM systems,", J. Lightwave Technol. 17, 1248 (1999).
26. Yu. N. Demkov and V. N. Ostrovskii, Zero-range potentials and their applications in atomic physics, (Plenum Press, 1988).
27. Y. Meir and N. S. Wingreen, "Landauer Formula for the current through an interacting electron region," Phys. Rev. Lett. 68, 2512 (1992).
28. S. Datta, "Electronic transport in mesoscopic systems", (Cambridge University Press, 1995).
29. M. Sumetskii, "Forming of wave packets by one-dimensional tunneling structures having a time-dependent potential," Phys. Rev. B 46, 4702 (1992).