Spectral characteristics of coupled resonators

Journal of the Optical Society of America B: Optical Physics

Volumn 23, Issue 6, 2006, Pages 1137-1145

  Mookherjea, Shayan ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FABRICATION; LIGHT TRANSMISSION; OPTICAL FILTERS; OPTICAL SYSTEMS; OPTICAL WAVEGUIDES; TIME DOMAIN ANALYSIS;

COUPLED RESONATORS; COUPLING COEFFICIENTS; FREQUENCY SPECTRUM;

OPTICAL RESONATORS;

EID: 33745908229     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.23.001137     Document Type: Article

References (50)

1. J. V. Hryniewicz, P. P. Absil, B. E. Little, R. A. Wilson, and P.-T. Ho, "Higher order filter response in coupled microring resonators," IEEE Photon. Technol. Lett. 12, 320-322 (2000).
2. B. Liu, A. Shakouri, and J. E. Bowers, "Wide tunable double ring coupled lasers," IEEE Photon. Technol. Lett. 14, 600-602 (2002).
3. D. Rabus, M. Hamacher, H. Heidrich, and U. Troppenz, "High-Q channel dropping filters using ring resonators with integrated SOAs," IEEE Photon. Technol. Lett. 14, 1442-1444 (2002).
4. R. Iliew, U. Peschel, C. Etrich, and F. Lederer, "Light propagation via coupled defects in photonic crystals," in Conference on Lasers and Electro-Optics, Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), postconference edition, 191-192
5. A. Melloni, F. Morichetti, and M. Martinelli, "Optical slow wave structures," Opt. Photonics News 14, 44-48 (2003).
6. J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, "Designing coupled-resonator optical waveguide delay lines," J. Opt. Soc. Am. B 21, 1665-1673 (2004).
7. Y. Chen, G. Pasrija, B. Farhang-Boroujeny, and S. Blair, "Engineering the nonlinear phase shift with multistage autoregressive moving-average optical filters," Appl. Opt. 44, 2564-2574 (2005).
8. J. B. Khurgin, "Optical buffers based on slow light in electromagnetically induced transparent media and coupled resonator structures: comparative analysis," J. Opt. Soc. Am. B 22, 1062-1074 (2005).
9. J. B. Pendry and A. MacKinnon, "Calculation of photon dispersion relations," Phys. Rev. Lett. 69, 2772-2775 (1992).
10. C. Barnes, T. Wei-chao, and J. B. Pendry, "The localization length and density of states of 1D disordered systems," J. Phys. Condens. Matter 3, 5297-5305 (1991).
11. H. Matsuoka and R. Grobe, "Effect of eigenmodes on the optical transmission through one-dimensional random media," Phys. Rev. E 71, 046606 (2005).
12. D. J. Thouless, "A relation between the density of states and range of localization for one dimensional random systems," J. Phys. C 5, 77-81 (1972).
13. J. M. Ziman, Models of Disorder (Cambridge U. Press, 1979).
14. A. Gonis, Green Functions for Ordered and Disordered Systems (North-Holland, 1992).
15. W. H. Louisell, Coupled Mode and Parametric Electronics (Wiley, 1960).
16. H. A. Haus, Electromagnetic Noise and Quantum Optical Measurements (Springer, 2000).
17. C. Cohen-Tannoudji, B. Diu, and F. Laloë, Quantum Mechanics (Wiley, 1977).
18. R. J. C. Spreeuw and J. P. Woerdman, "Optical atoms," in Progress in Optics, Vol. XXXI, E. Wolf, ed., pp. 263-319 (North-Holland, 1993).
19. T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, and M. Kuwata-Gonokami, "Tight-binding photonic molecule modes of resonant bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
20. A. Yariv, Optical Electronics in Modern Communications, 5th ed. (Oxford, 1997).
21. T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, "Mode coupling in traveling-wave resonators," Opt. Lett. 27, 1669-1671 (2002).
22. D. S. Weiss, V. Sandoghdar, J. Hare, V. Lefevre-Seguin, J.-M. Raimond, and S. Haroche, "Splitting of high-Q Mie modes induced by light backscattering in silica microspheres," Opt. Lett. 20, 1835-1837 (1995).
23. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis," Opt. Lett. 24, 711-713 (1999).
24. M. Bayer, I. Gutbrod, A. Forchel, T. Reinecke, P. Knipp, R. Werner, and J. Reithmaier, "Optical demonstration of a crystal band structure formation," Phys. Rev. Lett. 83, 5374 (1999).
25. M. Bayindir, B. Temelkuran, and E. Ozbay, "Tight-binding description of the coupled defect modes in three-dimensional photonic crystals," Phys. Rev. Lett. 84, 2140-2143 (2000).
26. Y. Xu, R. K. Lee, and A. Yariv, "Propagation and second-harmonic generation of electromagnetic waves in a coupled-resonator optical waveguide," J. Opt. Soc. Am. B 17, 387-400 (2000).
27. S. Olivier, 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, 1019-1021 (2001).
28. S. Mookherjea, "Coupled-resonator optical waveguides and multiplexed solitons," Ph.D. thesis (California Institute of Technology, 2003).
29. H. Altug and J. Vuckovic, "Two dimensional coupled photonic crystal resonator arrays," Appl. Phys. Lett. 84, 161-163 (2004).
30. S. Mookherjea and A. Yariv, "Optical pulse propagation in the tight-binding approximation," Opt. Express 9, 91-96 (2001).
31. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988).
32. D. N. Christodoulides and N. K. Efremidis, "Discrete temporal solitons along a chain of nonlinear coupled microcavities embedded in photonic crystals," Opt. Lett. 27, 568-570 (2002).
33. S. Mookherjea and A. Yariv, "Kerr-stabilized super-resonant modes in coupled-resonator optical waveguides," Phys. Rev. E 66, 046610 (2002).
34. A. Yariv, "Coupled-mode theory for guided-wave optics," IEEE J. Quantum Electron. QE-9, 919-933 (1973).
35. J. N. Franklin, Matrix Theory (Dover, 2000).
36. J. E. Heebner, R. W. Boyd, and Q.-H. Park, "SCISSOR solitons and other novel propagation effects in microresonator-modified waveguides," J. Opt. Soc. Am. B 19, 722-731 (2004).
37. J. E. Heebner, P. Chak, S. Pereira, J. E. Sipe, and R. W. Boyd, "Distributed and localized feedback in microresonator sequences for linear and nonlinear optics," J. Opt. Soc. Am. B 21, 1818-1832 (2004).
38. S. Mookherjea, "Mode cycling in microring optical resonators," Opt. Lett. 30, 2751-2753 (2005).
39. M. Kulishov, J. M. Laniel, N. Bélanger, and D. V. Plant, "Trapping light in a ring resonator using a grating-assisted coupler with asymmetric transmission," Opt. Express 13, 3567-3578 (2005).
40. M. Greenberg and M. Orenstein, "Unidirectional complex grating assisted couplers," Opt. Express 12, 4013-4018 (2004).
41. S. Mookherjea, "Principles and applications of coupled microring optical resonators," in Workshop on Fibres and Optical Passive Components 2005: 4th IEEE/LEOS Workshop on Fibers and Optical Passive Components (IEEE, Piscataway, NJ, 2005), pp. 51-57.
42. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran 77 (Cambridge U. Press, 1996).
43. N. Hatano and D. R. Nelson, "Localized transitions in non-Hermitian quantum mechanics," Phys. Rev. Lett. 77, 570-573 (1996).
44. I. Y. Goldsheid and B. A. Khoruzhenko, "Distribution of eigenvalues in non-Hermitian Anderson models," Phys. Rev. Lett. 80, 2897-2900 (1998).
45. J. Feinberg and A. Zee, "Spectral curves of non-hermitian hamiltonians," Nucl. Phys. B 552, 599 (1999).
46. R. M. Martin, Electronic Structure (Cambridge U. Press, 2004).
47. E. R. Smith, "One-dimensional X-Y model with random coupling constants I. Thermodynamics," J. Phys. C 3, 1419-1432 (1970).
48. I. M. Lifshits, S. A. Gredeskul, and L. A. Pastur, Introduction to the Theory of Disordered Systems (Wiley, 1988).
49. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Harcourt, 1976).
50. S. Mookherjea, "Dispersion characteristics of coupled-resonator optical waveguides," Opt. Lett. 30, 2406-2408 (2005).