Slow-light regime and critical coupling in highly multimode corrugated waveguides

Journal of the Optical Society of America B: Optical Physics

Volumn 25, Issue 12, 2008, Pages

  Kurt, H ^a,b   Benisty, H ^a   Melo, T ^a   Knayam, O ^a   Cambournae, C ^a  

^a UNIV PARIS SUD   (France)

^b TOBB UNIVERSITY OF ECONOMICS AND TECHNOLOGY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL SYMMETRY; FINITE DIFFERENCE TIME DOMAIN METHOD; LIGHT PROPAGATION; OPTICAL WAVEGUIDES; PHOTONIC CRYSTALS; REFRACTIVE INDEX; SLOW LIGHT; WAVEGUIDES;

CORRUGATED WAVEGUIDE; COUPLED MODE THEORY; CRITICAL COUPLING; ESSENTIAL FEATURES; PHOTONIC CRYSTAL SYSTEM; PLANE WAVE EXPANSION METHOD; PRACTICAL SYSTEMS; WAVEGUIDE STRUCTURE;

TIME DOMAIN ANALYSIS;

EID: 55349118260     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.25.0000C1     Document Type: Article

References (35)

1. T. Tamir, Guided Wave Optoelectronics (Springer-Verlag, 1990).
2. L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, 1995).
3. G. P. Agrawal and N. K. Dutta, Semiconductor Lasers, 2nd ed. (Van Nostrand Reinhold, 1993).
4. A. Yariv, "Coupled mode theory for guided wave optics," IEEE J. Quantum Electron. 9, 919-933 (1973).
5. A. Yariv and M. Nakamura, "Periodic structures for integrated optics," IEEE J. Quantum Electron. 13, 233-253 (1977).
6. E. Peral, A. Yariv, and L. Fellow, "Supermodes of gratingcoupled multimode waveguides and application to mode conversion between copropagating modes mediated by backward Bragg scattering," J. Lightwave Technol. 17, 942-947 (1999).
7. A. Yariv, Quantum Electronics (Wiley, 1989).
8. D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, 1974).
9. H. Benisty, "Modal analysis of optical guides with twodimensional photonic band-gap boundaries," J. Appl. Phys. 79, 7483-7492 (1996).
10. B. Lombardet, L. A. Dunbar, R. Ferrini, and R. Houdré, "Fourier analysis of Bloch wave propagation in photonic crystals," J. Opt. Soc. Am. B 22, 1179-1190 (2005).
11. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, 1995).
12. S. Olivier, H. Benisty, C. Weisbuch, C. J. Smith, T. F. Rrauss, and R. Houdré, "Coupled-mode theory and propagation losses in photonic crystal waveguides," Opt. Express 11, 1490-1496 (2003).
13. S. Olivier, M. Rattier, H. Benisty, C. J. M. Smith, R. M. De La Rue, T. F. Krauss, U. Oesterle, R. Houdré, and C. Weisbuch, "Mini stopbands of a one-dimensional system: the channel waveguide in a two-dimensional photonic crystal," Phys. Rev. B 63, 113311 (2001).
14. L. Martinelli, H. Benisty, O. Khayam, G. H. Duan, H. Heidrich, and K. Janiak, "Analysis and optimization of compact demultiplexer monitor based on photonic crystal waveguide," J. Lightwave Technol. 25, 2385-2394 (2007).
15. J.-M. Lourtioz, H. Benisty, V. Berger, J. M. Gérard, D. Maystre, and A. Tchelnokov, Photonic Crystals: Towards Nanoscale Photonic Devices (Springer, 2005).
16. D. Rosenblatt, A. Sharon, and A. A. Friesem, "Resonant grating waveguide structures," IEEE J. Quantum Electron. 33, 2038-2059 (1997).
17. P. Ferrand, R. Romestain, and J. C. Vial, "Photonic bandgap properties of a porous silicon periodic planar waveguide," Phys. Rev. B 63, 115106 (2001).
18. S. Albaledejo, J. J. Saenz, M. Lester, L. S. Froufe-Pérez, and A. Garcia-Martin, "Optical conductance of waveguides built into finite photonic crystals," Appl. Phys. Lett. 91, 061107 (2007).
19. T. Baba, D. Mori, K. Inoshita, and Y. Kuroki, "Light localizations in photonic crystal line defect waveguides," IEEE J. Sel. Top. Quantum Electron. 10, 484-491 (2004).
20. Y. A. Vlasov, M. O'Boyle, H. F. Hamman, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
21. S. Combrié, E. Weidner, A. De Rossi, S. Bansropun, S. Cassette, A. Tableau, and H. Benisty, "Detailed analysis by Fabry-Perot method of slab photonic crystal line-defect waveguides and cavities in aluminium-free material system," Opt. Express 14, 7353-7361 (2006).
22. H. Gersen, T. J. Karle, J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Huslt, T. F. Krauss, and L. Kuipers, "Real-space observation of ultraslow light in photonic crystal waveguides," Phys. Rev. Lett. 94, 073903 (2005).
23. M. D. Settle, R. J. P. Engelen, M. Salib, A. Michaeli, L. Kuipers, and T. F. Krauss, "Flatband slow light in photonic crystals featuring spatial pulse compression and terahertz bandwidth," Opt. Express 15, 219-226 (2007).
24. H. Benisty, A. David, L. Martinelli, E. Viasnoff-Schwoob, C. Weisbuch, G.-H. Duan, K. Janiak, and H. Heidrich, "From modal control to spontaneous emission and gain in photonic crystal waveguides," Photonics Nanostruct. Fundam. Appl. 4, 1-11 (2006).
25. E. Viasnoff-Schwoob, C. Weisbuch, H. Benisty, C. Cuisin, E. Derouin, O. Drisse, G.-H. Duan, L. Legouézigou, O. Legouézigou, F. Pommereau, S. Golka, H. Heidrich, H. J. Hensel, and K. Janiak, "Compact wavelength monitoring by lateral outcoupling in wedged photonic crystal multimode waveguides," Appl. Phys. Lett. 86, 101107 (2005).
26. O. Khayam, C. Cambournac, H. Benisty, M. Ayre, H. Brenot, and G. H. Duan, "In-plane Littrow lasing of broad photonic crystal waveguides," Appl. Phys. Lett. 91, 041111 (2007).
27. A. B. Greenwell, S. Booruang, and M. G. Moharam, "Multiple wavelength resonant grating at oblique incidence with broad angular acceptance," Opt. Express 15, 8626-8638 (2007).
28. A. A. Sukhorukov, C. J. Handmer, C. Martijn de Sterke, and M. J. Steel, "Slow light with flat or offset band edges in few-mode fiber with two gratings," Opt. Express 15, 17954-17959 (2007).
29. S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46-47 (1973).
30. M. Ghulinyan, Z. Gaburro, D. S. Wiersma, and L. Pavesi, "Tuning of resonant Zener tunneling by vapor diffusion and condensation in porous optical superlattices," Phys. Rev. B 74, 045118 (2006).
31. U. Peschel, T. Pertsch, and F. Lederer, "Optical Bloch oscillations in waveguide arrays," Opt. Lett. 23, 1701-1703 (1998).
32. I. Vorobeichikh, E. Narevicius, G. Rosenblum, M. Orenstein, and N. Moiseyev, "Electromagnetic realization of orders-of-magnitude tunneling enhancement in a double well system," Phys. Rev. Lett. 90, 176806 (2003).
33. T. Pertsch, U. Peschel, and F. Lederer, "All-optical switching in quadratically nonlinear waveguide arrays," Opt. Lett. 28, 102-104 (2003).
34. E. Viasnoff-Schwoob, C. Weisbuch, H. Benisty, S. Olivier, R. Houdré, and C. J. M. Smith, "Spontaneous emission enhancement at a photonic wire miniband edge," Opt. Lett. 26, 2113-2115 (2005).
35. FP̃ √λX thickness X finesse), which is itself tightly related to Fresnel zones (r̃√λX distance), that is, to the generic quadratic transverse behavior of transverse phase lags off an unfolded reference path). We may, along the same line, conjecture that thickness tolerances would be similar to those of high-finesse Fabry-Perot resonators, demanding thickness variations of less than δ W=λ/2/finesse but with a precise finesse definition depending on the frequency span and thus on the number of oscillations being exploited.