Extension of coupled mode analysis to infinite photonic superlattices

IEEE Journal of Quantum Electronics

Volumn 44, Issue 9, 2008, Pages 826-833

  Shteeman, Vladislav R ^a   Nusinsky, Inna ^a   Kapon, Eli ^b   Hardy, Amos A ^a  

^a TEL AVIV UNIVERSITY   (Israel)

^b EPFL   (Switzerland)

Author keywords

Band structure; Bloch function; Coupled mode theory; Photonic crystals; Supercell; Superlattice

Indexed keywords

BLOCH FUNCTION; COUPLED-MODE ANALYSIS; COUPLED-MODE THEORY; PHOTONIC ARRAYS; PHOTONIC BAND STRUCTURES; SUPERCELL;

BAND STRUCTURE; CRYSTAL ATOMIC STRUCTURE; OPTICAL WAVEGUIDES; TWO DIMENSIONAL;

PHOTONIC CRYSTALS;

EID: 62749115469     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/JQE.2008.924235     Document Type: Article

References (26)

1. E. Kapon, J. Katz, and A. Yariv, "Supermode analysis of phase-locked arrays of semiconductor lasers," Opt. Lett., vol. 10, no. 4, pp. 125-127, 1984.
2. A. A. Hardy and W. Streifer, "Coupled mode theory of parallel waveguides," J. Lightw. Technol., vol. LT-3, no. 5, pp. 1135-1146, May 1985.
3. A. A. Hardy and E. Kapon, "Coupled-mode formulations for parallel-laser resonators with application to vertical-cavity semiconductor-laser arrays," IEEE J. Quantum Electron., vol. 32, no. 6, pp. 966-971, Jun. 1996.
4. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: A proposal and analysis," Opt. Lett., vol. 24, pp. 711-713, 1999.
5. A. A. Hardy, "A unified approach to coupled-mode phenomena," IEEE J. Quantum Electron., vol. 34, no. 7, pp. 1109-1116, Jul. 1998.
6. V. Shteeman, D. Boiko, E. Kapon, and A. A. Hardy, "Extension of coupled mode analysis to periodic large arrays of identical waveguides for photonic crystals applications," IEEE J. Quantum Electron., vol. 43, no. 3, pp. 215-224, Mar. 2007.
7. J. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals: Molding the Flow of Light.. Princeton, NJ: Princeton Univ. Press, 1995.
8. E. Yablonovitch, T. J. Gmitter, and R. Bhat, "Inhibited and enhanced spontaneous emission from optically thin AlGaAs/GaAs double heterostructures," Phys. Rev. Lett., vol. 61, no. 22, pp. 2546-2549, 1988.
9. S. Fan, S. G. Johnson, J. D. Joannopoulos, C. Manolatou, and H. A. Haus, "Waveguide branches in photonic crystals," J. Opt. Soc. Amer. B, vol. 18, pp. 162-165, 2001.
10. C.-A. Berseth et al., "Mode confinement in VCSEL-based photonic heterostructures," in Proc. CLEO OSA, Washington, D.C., 2000, pp. 171-172, CtuA48.
11. E. Istrate and E. H. Sargent, "Photonic crystal heterostructures and interfaces," Rev. Mod. Phys., vol. 78, pp. 455-481, 2006.
12. B. S. Song, S. Noda, T. Asano, and Y. Akahane, "Ultra-high-Q photonic double-heterostructure nanocavity," Nature Mater., vol. 4, pp. 207-210, 2005.
13. S. Tomljenovic-Hanic, C. M. de Sterke, and M. J. Steel, "Design of high-Q cavities in photonic crystal slab heterostructures by air holes infiltration," Opt. Exp., vol. 25, pp. 12451-12456, 2006.
14. D. L. Boiko, G. Guerrero, and E. Kapon, "Polarization Bloch waves in photonic crystals based on vertical cavity surface emitting laser arrays," Opt. Exp., vol. 12, no. 12, pp. 2597-2602, 2004.
15. C. W. Neff, T. Yamashita, and C. J. Summers, "Observation of Brillouin zone folding in photonic crystal waveguides possessing a superlattice pattern," Appl. Phys. Lett., vol. 90, pp. 021102-1-021102-3, 2007.
16. K. Baert, K. Song, R. A. L. Vallee, M. V. der Auweraer, and K. Klays, "Spectral narrowing of emission in self-assembled colloidal photonic superlattices," J. Appl. Phys., vol. 100, pp. 123112-1-123112-7, 2006.
17. D. A. Lundeberg, D. L. Boiko, and E. Kapon, "Coupled islands of photonic crystal heterostructures implemented with vertical-cavity surface-emitting lasers," Appl. Phys. Lett., vol. 87, pp. 241120-1-241120-3, 2005.
18. H. Altug and J. Vuckovic, "Experimental demonstration of the slow group velocity of light in two-dimensional coupled photonic crystal microcavity arrays," Appl. Phys. Lett., vol. 86, p. 111102, 2005.
19. V. Shteeman, I. Nusinsky, E. Kapon, and A. A. Hardy, Analysis of Photonic Crystals With Defects Using Coupled Mode Theory, to be published.
20. S. Johnson and J. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Exp., vol. 8, no. 3, pp. 173-190, 2001.
21. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method., 3rd ed. Norwood, MA: Artech House, 2005.
22. J. B. Pendry, "Calculating photonic band structure," J. Phys. Conden. Matter, vol. 8, pp. 1085-1108, 1996.
23. A. Forchel et al., "Near-field mapping of the electromagnetic field in confined photon geometries," Phys. Rev. B, vol. 66, pp. 115302-1-115302-8, 2002.
24. E. Hecht and A. Zajac, Optics. London, U.K.: Addison Wesley, 1974.
25. C. Kittel, Quantum Theory of Solids. New York: Wiley, 1963C. Kittel, Quantum Theory of Solids.
26. J. K. Butler, D. E. Ackley, and D. Botez, "Coupled-mode analysis of phase-locked injection laser arrays," Appl. Phys. Lett., vol. 44, pp. 293-295, 1984.