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Journal of Lightwave Technology

Journal of Lightwave Technology


  • Vol. 21, Iss. 5 — May. 1, 2003
  • pp: 1384–

Amplitude and Phase Evolution of Optical Fields Inside Periodic Photonic Structures

E. Flück, M. Hammer, A. M. Otter, J. P. Korterik, L. Kuipers, and N. F. van Hulst

Journal of Lightwave Technology, Vol. 21, Issue 5, pp. 1384- (2003)

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Optical amplitude distributions of light inside periodic photonic structures are visualized with subwavelength resolution. In addition, using a phase-sensitive photon scanning tunneling microscope, we simultaneously map the phase evolution of light. Two different structures, which consist of a ridge waveguide containing periodic arrays of nanometer scale features, are investigated. We determine the wavelength dependence of the exponential decay rate inside the periodic arrays. Furthermore, various interference patterns are observed, which we interpret as interference between light reflected by the substrate and light inside the waveguide. The phase information obtained reveals scattering phenomena around the periodic array, which gives rise to phase jumps and phase singularities. Locally around the air rods, we observe an unexpected change in effective refractive index, a possible indication for anomalous dispersion resulting from the periodicity of the array.

© 2003 IEEE

E. Flück, M. Hammer, A. M. Otter, J. P. Korterik, L. Kuipers, and N. F. van Hulst, "Amplitude and Phase Evolution of Optical Fields Inside Periodic Photonic Structures," J. Lightwave Technol. 21, 1384- (2003)

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  1. T. F. Krauss, R. M. De la Rue and S. Brand, "Two-dimensional photonic-bandgap structures operating at near infrared wavelengths", Nature, vol. 383, pp. 699-702, Oct. 1996.
  2. J. E. G. J. Wijnhoven and W. L. Vos, "Preparation of photonic crystals made of air spheres in titania", Science, vol. 281, pp. 802-804, Aug. 1998 .
  3. S. Noda, K. Tomoda, N. Yamamoto and A. Chutinan, "Full three-dimensional photonic bandgap crystals at near-infrared wavelength", Science, vol. 289, pp. 604-606, July 2000.
  4. C. M. Soukoulis, Photonic Crystals and Light Localization in the 21st Century, Dordrecht/Boston/London: Kluwer, 2000 .
  5. W. L. Vos, R. Sprik, A. van Blaaderen, A. Imhof, A. Lagendijk and G. H. Wegdam, "Strong effects of photonic band structures on the diffraction of colloidal crystals", Phys. Rev. B, vol. 53, pp. 16 231-16 235, Jun. 1996.
  6. T. Yoshie, J. Vukovik, A. Scherer, H. Chen and D. Deppe, "High quality two-dimensional photonic crystal slab cavities", Appl. Phys. Lett., vol. 79, pp. 4289-4291, Dec. 2001.
  7. Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai and K. Inoue, "Light-propagation characteristics of Y-branch defect waveguides in AlGaAs-based air-bridge-type two-dimensional photonic crystal slabs", Opt. Lett., vol. 27, pp. 388-390, Mar. 2002 .
  8. M. Lonar, T. Doll, J. Vukovik and A. Scherer, "Design and fabrication of silicon photonic crystal optical waveguides", J. Lightwave Technol., vol. 18, pp. 1402-1411, Oct. 2000 .
  9. E. Yablonovitch, "Photonic crystals: Semiconductors of light", Sci. Amer., vol. 285, pp. 46-54, Dec. 2001.
  10. Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai and K. Inoue, "Fabrication and characterization of different types of two-dimensional AlGaAs photonic crystal slabs", J. Appl. Phys., vol. 91, pp. 922-929, Feb. 2002.
  11. Y. A. Vlasov, X.-Z. Bo, J. C. Sturm and D. J. Norris, "On-chip natural assembly of silicon photonic bandgap crystals", Nature, vol. 414, pp. 289-293, Nov. 2001 .
  12. A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W.St. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader and H. M. van Driel, "Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometers", Nature, vol. 405, pp. 437-440, May 2000.
  13. M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs", Phys. Rev. Lett., vol. 87, p. 253 902, Dec. 2001.
  14. J. Moosburger, M. Kamp, A. Forchel, S. Olivier, H. Benisty, C. Weisbuch and U. Oesterle, "Enhanced transmission through photonic crystal-based bent waveguides by bend engineering", Appl. Phys. Lett. , vol. 79, pp. 3579-3581, Nov. 2001.
  15. J. Moosburger, M. Kamp, A. Forchel, U. Oesterle and R. Houdré, "Transmission spectroscopy of photonic crystal based waveguides with resonant cavities", J. Appl. Phys., vol. 91, pp. 4791-4794, Apr. 2002 .
  16. O. Painter and K. Srinivasan, "Polarization properties of dipolelike defect modes in photonic crystal nanocavities", Opt. Lett., vol. 27, pp. 339-341, Mar. 2002.
  17. N. F. van Hulst, F. B. Segerink, F. Achten and B. Bölger, "Evanescent-field optical microscopy: Effects of polarization, tip shape and radiative waves", Ultramicroscopy, vol. 42-44, pp. 416-421, 1992.
  18. R. Quidant, J. C. Weeber, A. Dereux, D. Peyrade, G. Colas des Francs, C.Ch. Girard and Y. Chen, "Addressing and imaging high optical index dielectric ridges in the optical near field", Phys. Rev. E, vol. 64, p. 066 607, Nov. 2001.
  19. D. Mulin, M. Spajer, D. Courjon, F. Carcenac and Y. Chen, "Near field probing control of optical propagation in bidimensional guiding mesostructures", J. Appl. Phys., vol. 87, pp. 534-537, Jan. 2000.
  20. P. L. Phillips, J. C. Knight, B. J. Mangan, P. S. J. Russell, M. D. B. Charlton and G. J. Parker, "Near-field optical microscopy of thin photonic crystal films", J. Appl. Phys., vol. 85, pp. 6337-6342, May 1999.
  21. D. Gérard, L. Berguiga, F. de Fornel, L. Salomon, C. Seassal, X. Letartre, P. Rojo-Romeo and P. Viktorovitch, "Near-field probing of active photonic-crystal structures", Opt. Lett., vol. 27, pp. 173-175, Feb. 2002.
  22. G. H. Vander Rhodes, B. B. Goldberg, M. S. Ünlü, S. T. Chu, W. Pan, T. Kaneko, Y. Kokobun and B. E. Little, "Measurement of internal spatial modes and local propagation properties in optical waveguides", Appl. Phys. Lett., vol. 75, pp. 2368-2370, Oct. 1999.
  23. G. H. Vander Rhodes, M. S. Ünlü, B. B. Goldberg, J. M. Pomeroy and T. F. Krauss, "Characterization of waveguide microcavities using high-resolution transmission spectroscopy and near-field scanning optical microscopy", Inst. Elect. Eng. Proc.-J.: Optoelectron, vol. 145, pp. 379-382, Dec. 1998.
  24. J. R. Krenn, A. Dereux, J. C. Weeber, E. Bourillot, Y. Lacroute, J. P. Gourdonnet, G. Schider, W. Gotschy, A. Leitner, F. R. Aussenegg and C. Girard, "Squeezing the optical near-field zone by plasmon coupling of metallic nanoparticles", Phys. Rev. Lett., vol. 82, pp. 2590-2593, Mar. 1999.
  25. P. Kramper, A. Birner, M. Agio, C. M. Soukoulis, F. Müller, U. Gösele, J. Mlynek and V. Sandoghdar, "Direct spectroscopy of a deep two-dimensional photonic crystal microresonator", Phys. Rev. B, vol. 64, p. 233 102, Nov. 2001.
  26. A. L. Campillo, J. W. P. Hsu and G. W. Bryant, "Local imaging of photonic structures: image contrast from impedance mismatch", Opt. Lett., vol. 27, pp. 415-417, Mar. 2002.
  27. M. L. M. Balistreri, J. P. Korterik, G. J. Veldhuis, L. Kuipers and N. F. van Hulst, "Quantitative photon tunelling and shear-force microscopy of planar waveguide splitters and mixers", J. Appl. Phys., vol. 89, pp. 3307-3314, Mar. 2001.
  28. M. L. M. Balistreri, J. P. Korterik, L. Kuipers and N. F. van Hulst, "Local observation of phase singularities in optical fields in waveguide structures", Phys. Rev. Lett., vol. 85, pp. 294-297, Jul. 2000.
  29. P. L. Phillips, J. C. Knight, J. M. Pottage, G. Kakarantzas and P. St. Russell, "Direct measurement of optical phase in the near field", Appl. Phys. Lett., vol. 76, pp. 541-543, Jan. 2000.
  30. M. L. M. Balistreri, J. P. Korterik, L. Kuipers and N. F. van Hulst, "Phase mapping of optical fields in integrated optical waveguide structures", J. Lightwave Technol., vol. 19, pp. 1169-1176, Aug. 2001.
  31. A. Nesci, R. Dändliker, M. Salt and H. P. Herzig, "Optical near-field phase singularities produced by microstructues", in Proc. SPIE, San Diego, CA, Aug. 2001, pp. 68-77.
  32. K. Karrai and R. D. Grober, "Piezoelectric tip-sample distance control for near field optical microscopes", Appl. Phys. Lett., vol. 66, pp. 1842-1844, Apr. 1995.
  33. M. Vaez-Iravani and R. Toledo-Crow, "Phase contrast and amplitude pseudoheterodyne interference near field scanning optical microscopy", Appl. Phys. Lett., vol. 62, pp. 1044-1046, Mar. 1993.
  34. J. A. Veerman, A. M. Otter, L. Kuipers and N. F. van Hulst, "High definition aperture probes for near-field optical microscopy fabricated by focused ion beam milling", Appl. Phys. Lett., vol. 72, pp. 3115-3117, Jun. 1998.
  35. C. Peeters, E. Flück, A. M. Otter, M. L. M. Balistreri, J. P. Korterik, L. Kuipers and N. F. van Hulst, "Photon scanning tunneling microscopy of tailor-made photonic structures", Appl. Phys. Lett., vol. 77, pp. 142-144, July 2000.
  36. S. Fan, I. Appelbaum and J. D. Joannopoulos, "Near-field scanning optical microscopy as a simultaneous probe of fields and band structure of photonic crystals: a computational study", Appl. Phys. Lett., vol. 75, pp. 3461-3463, Nov. 1999.
  37. T. Tamir, Integrated Optics, Berlin: Germany: Springer, 1975.
  38. M. Lohmeyer and R. Stoffer, "Integrated optical cross strip polarizer concept", Opt. Quantum Electron., vol. 33, pp. 413-431, Apr. 2001 .
  39. M. Lohmeyer, "Mode expansion modeling of rectangular integrated optical microresonators", Opt. Quantum Electron., vol. 34, pp. 541-557, June 2002.
  40. M. L. M. Balistreri, J. P. Korterik, L. Kuipers and N. F. van Hulst, "Visualization of modes transformation in a planar waveguide splitter by near-field optical imaging", Appl. Phys. Lett., vol. 79, pp. 910-912, Aug. 2001.

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