Exploring light propagating in photonic crystals with Fourier optics

Journal of the Optical Society of America B: Optical Physics

Volumn 24, Issue 12, 2007, Pages 2964-2971

  Le Thomas, Nicolas ^a   Houdré, Romuald ^a   Kotlyar, Maria V ^b   O'Brien, David ^b   Krauss, Thomas F ^b  

^a EPFL   (Switzerland)

^b UNIVERSITY OF ST ANDREWS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION (WAVES); LIGHT POLARIZATION; LIGHT PROPAGATION; LIGHT REFLECTION; LIGHT SCATTERING; OPTICAL WAVEGUIDES; PHOTONIC CRYSTALS;

BLOCH MODE; CAVITY WAVEGUIDE; EQUIFREQUENCY SURFACES;

FOURIER OPTICS;

EID: 39449114271     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.24.002964     Document Type: Article

References (35)

1. T. F. Krauss, R. M. De La Rue, and S. Brand, "Two-dimensional photonic-bandgap structures operating at near-infrared wavelengths," Nature 383, 699-702 (1996).
2. X. Letartre, C. Seassal, C. Grillet, P. Rojo-Romeo, P. Viktrovitch, M. Le Vassor d'Yerville, D. Cassagne, and C. Jouanin, "Group velocity and propagation losses measurement in a single-line photonic-crystal waveguide on InP membranes," Appl. Phys. Lett. 79, 2312-2314 (2001).
3. M. Notomi, K. Yamada, A. Skinya, J. Takahashi, C. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253902 (2001).
4. T. Baba and T. Matsumoto, "Resolution of photonic crystal superprism," Appl. Phys. Lett. 81, 2325-2327 (2002).
5. M.J. Steel, R. Zoli, C. Grillet, R. C. McPhedran, C. Martijn de Sterke, A. Norton, P. Bassi, and B. J. Eggleton, "Analytic properties of photonic crystal superprism parameters," Phys. Rev. E 71, 056608 (2005).
6. H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides," Phys. Rev. Lett. 94, 123901 (2005).
7. H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Real-space observation of ultraslow light in photonic crystal waveguides," Phys. Rev. Lett. 94, 073903 (2005).
8. R. Wüest, D. Erni, P. Strasser, F. Robin, H. Jäckel, B. C. Buchler, A. F. Koenderink, V. Sandoghdar, and R. Harbers, "A standing-wave meter te measure dispersion and loss of photonic-crystal waveguides," Appl. Phys. Lett. 87, 261110 (2005).
9. P. Kramper, M. Kafesaki, C. M. Soukoulis, A. Birner, F. Mller, U. Gsele, R. B. Wehrspohn, J. Mlynek, and V. Sandoghdar, "Near-field visualization of light confinement in a photonic crystal microresonator," Opt. Lett. 29, 174-176 (2004).
10. N. Louvion, D. Gérard, J. Mouette, F. de Fornel, C. Seassal, X. Letartre, A. Rahmani, and S. Callard, "Local observation and spectroscopy of optical modes in an active photonic-crystal microcavity," Phys. Rev. Lett. 94, 113907 (2005).
11. R. Zengerle, "Light propagation in singly and doubly periodic planar waveguides," J. Mod. Opt. 34, 1589-1617 (1987).
12. M. Galli, D. Bajoni, M. Patrini, G. Guizzetti, D. Gerace, L. C. Andreani, M. Belotti, and Y. Chen, Phys. Rev. B 72, 125322 (2005).
13. M. Loncar, D. Nedeljkovic, T. P. Pearsall, J. Vuckovic, A. Scherer, S. Kuchinsky, and D. C. Allan, "Experimental and theoretical confirmation of Bloch-mode light propagation in planar photonic crystal waveguides," Appl. Phys. Lett. 80, 1689-1691 (2002).
14. G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, "Brillouin zone spectroscopy of nonlinear photenic lattices," Phys. Rev. Lett. 94, 163902 (2005).
15. P. St. J. Russell, "Optics of Floquet-Bloch waves in dielectric gratings," Appl. Phys. B 39, 231-246 (1986).
16. E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopuolou, and C. M. Soukoulis, "Negative refraction by photonic crystals," Nature 423, 604-605 (2003).
17. C. Lye, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104 (2002).
18. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Seat, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, 10096-10099 (1998).
19. S. Yang, J. H. Page, Z. Liu, M. L. Cowan, C. T. Chan, and P. Sheng, "Focusing of sound in a 3D phononic crystal," Phys. Rev. Lett. 93, 024301 (2004).
20. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Seat, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
21. P.T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimeter-scale supercollimation in a large-area two-dimensional photonic crystal," Nat. Mater. 5, 93-96 (2006).
22. R. Ferrini, A. Berrier, L. A. Dunbar, R. Houdré, M. Mulot, S. Anand, S. de Rossi, and A. Talneau, "Minimization of out-of-plane losses in planar photonic crystals by optimizing the vertical waveguide," Appl. Phys. Lett. 85, 3998-4000 (2004).
23. x.
24. N. Le Thomas, R. Houdré, L. H. Frandsen, J. Fage-Pedersen, A. V. Lavrinenko, and P. I. Borel, "Grating-assisted superresolution of slow waves in Fourier space," Phys. Rev. B 76, 035103 (2007).
25. M.I. Kobolov and C. Fabre, "Quantum limits on optical resolution," Phys. Rev. Lett. 85, 3789-3792 (2000).
26. C. K. Rushforth and R. W. Harris, "Restoration, resolution, and noise," J. Opt. Soc. Am. 58, 539-545 (1968).
27. N. Stefanou and A. Modinos, "Impurity bands in photonic insulator," Phys. Rev. B 57, 12127-12133 (1998).
28. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis," Opt. Lett. 24, 711-713 (1999).
29. M. F. Yanik, W. Suh, Z. Wang, and S. Fan, "Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency," Phys. Rev. Lett. 93, 233903 (2004).
30. M. F. Yanik and S. Fan, "Stopping light all-optically," Phys. Rev. Lett. 92, 083901 (2004).
31. B.-S. Song, S. Noda, T. Asano, and Y. Akahane, "Ultra-high-Q photonic double-heterostructure nanocavity," Astrophys. J., Suppl. Ser. 4, 93-96 (2005).
32. M. L. Povinelli and S. Fan, "Radiation loss of coupled-resonator waveguides in photonic-crystal slabs," Appl. Phys. Lett. 89, 191114 (2006).
33. R. Mitra, Computer Techniques for Electromagnetics (Pergamon, 1973), Chap 2.
34. E. E. Orlova, J. N. Hovenier, T. O. Klaassen, I. Kasalynas, A. J. L. Adam, J. R. Gao, T. M. Klapwijk, B. S. Williams, S. Kumar, Q. Hu, and J. L. Reno, "Antenna model for wire lasers," Phys. Rev. Lett. 96, 173904 (2006).
35. 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).