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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 13 — Jun. 22, 2009
  • pp: 10522–10528

Numerical analysis of resonant properties of a waveguide structure within a random medium

Hideki Fujiwara, Yosuke Hamabata, and Keiji Sasaki  »View Author Affiliations

Optics Express, Vol. 17, Issue 13, pp. 10522-10528 (2009)

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We propose a simple structure for manipulating resonant conditions in random structures, which is composed of a waveguide structure as a defect region embedded in a random structure. Using the two-dimensional finite-difference time-domain method, we examine the resonant properties of localized modes bound in the waveguide. From the results, we confirm that long-lived modes are strongly confined in the waveguide only when the resonant frequency matches the frequency windows in the transmitted intensity spectrum of the surrounding random structure.

© 2009 OSA

OCIS Codes
(140.0140) Lasers and laser optics : Lasers and laser optics
(290.4210) Scattering : Multiple scattering
(140.3945) Lasers and laser optics : Microcavities

ToC Category:
Lasers and Laser Optics

Original Manuscript: April 21, 2009
Revised Manuscript: June 1, 2009
Manuscript Accepted: June 4, 2009
Published: June 8, 2009

Hideki Fujiwara, Yosuke Hamabata, and Keiji Sasaki, "Numerical analysis of resonant properties of a waveguide structure within a random medium," Opt. Express 17, 10522-10528 (2009)

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  1. C. Gouedard, D. Husson, C. Sauteret, F. Auzel, and A. Migus, “Generation of spatially incoherent short pulses in laser-pumped neodymium stoichiometric crystals and powders,” J. Opt. Soc. Am. B 10(12), 2358–2363 (1993). [CrossRef]
  2. N. M. Lawandy, R. M. Balachandran, A. S. L. Gomes, and E. Sauvain, “Laser action in strongly scattering media,” Nature 368(6470), 436–438 (1994). [CrossRef]
  3. M. A. Noginov, N. E. Noginova, H. J. Caulfield, P. Venkateswarlu, T. Thompson, M. Mahdi, and V. Ostroumov, “Short-pulsed stimulated emission in the powders of NdAl3(BO3)4, NdSc3(BO3)4, and Nd:Sr5(PO4)3F laser crystals,” J. Opt. Soc. Am. B 13(9), 2024–2033 (1996). [CrossRef]
  4. D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, “Localization of light in a disordered medium,” Nature 390(6661), 671–673 (1997). [CrossRef]
  5. A. Kurita, Y. Kanematsu, M. Watanabe, K. Hirata, and T. Kushida, “Wavelength- and Angle-Selective Optical Memory Effect by Interference of Multiple-Scattered Light,” Phys. Rev. Lett. 83(8), 1582–1585 (1999). [CrossRef]
  6. H. Cao, Y. Ling, J. Y. Xu, C. Q. Cao, and P. Kumar, “Photon statistics of random lasers with resonant feedback,” Phys. Rev. Lett. 86(20), 4524–4527 (2001). [CrossRef] [PubMed]
  7. S. I. Bozhevolnyi, V. S. Volkov, and K. Leosson, “Localization and waveguiding of surface plasmon polaritons in random nanostructures,” Phys. Rev. Lett. 89(18), 186801 (2002). [CrossRef] [PubMed]
  8. R. C. Polson and Z. V. Vardeny, “Random lasing in human tissues,” Appl. Phys. Lett. 85(7), 1289–1291 (2004). [CrossRef]
  9. G. Zacharakis, N. A. Papadogiannis, and T. G. Papazoglou, “Random lasing following two-photon excitation of highly scattering gain media,” Appl. Phys. Lett. 81(14), 2511–2513 (2002). [CrossRef]
  10. H. Fujiwara and K. Sasaki, “Observation of upconversion lasing within a thulium-ion-doped glass powder film containing titanium dioxide particles,” Jpn. J. Appl. Phys. 43(No. 10B), L1337–L1339 (2004). [CrossRef]
  11. H. Fujiwara and K. Sasaki, “Observation of optical bistability in a ZnO powder random medium,” Appl. Phys. Lett. 89(7), 071115 (2006). [CrossRef]
  12. G. van Soest, M. Tomita, and A. Lagendijk, “Amplifying volume in scattering media,” Opt. Lett. 24(5), 306–308 (1999). [CrossRef]
  13. G. van Soest and A. Lagendijk, “β factor in a random laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(44 Pt 2B), 047601 (2002). [CrossRef] [PubMed]
  14. H. Cao, J. Y. Xu, E. W. Seeling, and R. P. H. Chang, “Microlaser made of disordered media,” Appl. Phys. Lett. 76(21), 2997–2999 (2000). [CrossRef]
  15. H. Cao, J. Y. Xu, D. Z. Zhang, S.-H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, “Spatial confinement of laser light in active random media,” Phys. Rev. Lett. 84(24), 5584–5587 (2000). [CrossRef] [PubMed]
  16. Q. Song, L. Wang, S. Xiao, X. Zhou, L. Liu, and L. Xu, “Random laser emission from a surface-corrugated waveguide,” Phys. Rev. B 72(3), 035424 (2005). [CrossRef]
  17. H. Watanabe, Y. Oki, M. Maeda, and T. Omatsu, “Waveguide dye laser including a SiO2 nanoparticle-dispersed random scattering active layer,” Appl. Phys. Lett. 86(15), 151123 (2005). [CrossRef]
  18. C. Yuen, S. F. Yu, E. S. P. Leong, H. Y. Yang, S. P. Lau, N. S. Chen, and H. H. Hng, “Low-loss and directional output ZnO thin-film ridge waveguide random lasers with MgO capped layer,” Appl. Phys. Lett. 86(3), 031112 (2005). [CrossRef]
  19. S. Furumi, H. Fudouzi, H. T. Miyazaki, and Y. Sakka, “Flexible polymer colloidal-crystal random lasers with a light-emitting planar defect,” Adv. Mater. 19(16), 2067–2072 (2007). [CrossRef]
  20. D. S. Wiersma and S. Cavalieri, “Light emission: A temperature-tunable random laser,” Nature 414(6865), 708–709 (2001). [CrossRef] [PubMed]
  21. S. Gottardo, R. Sapienza, P. D. Garcia, A. Blanco, D. S. Wiersma, and C. Lopez, “Resonance-driven random lasing,” Nat. Photonics 2(7), 429–432 (2008). [CrossRef]
  22. C. Vanneste and P. Sebbah, “Localized modes in random arrays of cylinders,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(2), 026612 (2005). [CrossRef] [PubMed]
  23. P. Sebbah and C. Vanneste, “Random laser in the localized regime,” Phys. Rev. B 66(14), 144202 (2002). [CrossRef]
  24. J. Liu and H. Liu, “Theoretical investigation on the threshold properties of localized modes in two-dimensional random media,” J. Mod. Opt. 53(10), 1429–1439 (2006). [CrossRef]
  25. H. Fujiwara, Y. Hamabata, and K. Sasaki, “Numerical analysis of resonant and lasing properties at a defect region within a random structure,” Opt. Express 17(5), 3970–3977 (2009). [CrossRef] [PubMed]
  26. H. Miyazaki, M. Hase, H. T. Miyazaki, Y. Kurokawa, and N. Shinya, “Photonic material for designing arbitrarily shaped waveguides in two dimensions,” Phys. Rev. B 67(23), 235109 (2003). [CrossRef]
  27. C. Rockstuhl, U. Peschel, and F. Lederer, “Correlation between single-cylinder properties and bandgap formation in photonic structures,” Opt. Lett. 31(11), 1741–1743 (2006). [CrossRef] [PubMed]
  28. J. Topolancik, F. Vollmer, and B. Llic, “Random high-Q cavities in disordered photonic crystal waveguides,” Appl. Phys. Lett. 91(20), 201102 (2007). [CrossRef]
  29. J. Topolancik, B. Ilic, and F. Vollmer, “Experimental observation of strong photon localization in disordered photonic crystal waveguides,” Phys. Rev. Lett. 99(25), 253901 (2007). [CrossRef]
  30. M. Agio and C. M. Soukoulis, “Ministop bands in single-defect photonic crystal waveguides,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(5 Pt 2), 055603 (2001). [CrossRef] [PubMed]

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