Abstract

An active one-dimensional Fibonacci photonic quasi-crystal is realized via spin coating. Luminescence properties of an organic dye embedded in the quasi-crystal are studied experimentally and compared to theoretical simulations. The luminescence occurs via the pseudo-bandedge mode and follows the dispersion properties of the Fibonacci crystal. Time resolved luminescence measurement of the active structure shows faster spontaneous emission rate, indicating the effect of the large photon densities available at the bandedge due to the presence of critically localized states. The experimental results are in good agreement with the theoretical calculations for steady-state luminescence spectra.

© 2009 Optical Society of America

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  1. M. Loncar, T. Yoshie, A. Scherer, P. Gogna, and Y. Qiu, "Low-threshold photonic crystal laser," Appl. Phys. Lett. 81, 2680 (2002); H-G Park, S-H. Kim, S.-H. Kwon, Y.-G. Ju, J.-K. Yang, J.-H. Baek, S.-B. Kim, and Y.-H. Lee, "Electrically Driven Single-Cell Photonic Crystal Laser," Science 305, 1444 (2004).
    [CrossRef]
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  3. G. Gumbs and M. K. Ali, "Dynamical maps, Cantor spectra, and localization for Fibonacci and related quasiperiodic lattices," Phys. Rev. Lett. 60, 1081 (1988).
    [CrossRef] [PubMed]
  4. F. Nori and J. P. Rodriguez, "Acoustic and electronic properties of one-dimensional quasicrystals," Phys. Rev. B 34, 2207 (1986).
    [CrossRef]
  5. T. Fujiwara, M. Kohmoto, and T. Tokihiro, "Multifractal wave functions on a Fibonacci lattice," Phys. Rev. B 40, 7413 (1989).
    [CrossRef]
  6. M. Kohmoto, B. Sutherland, and K. Iguchi, "Localization of optics: Quasiperiodic media," Phys. Rev. Lett. 58, 2436 (1987);B. Sutherland and M. Kohmoto, "Resistance of a one-dimensional quasicrystal: Power-law growth," Phys. Rev. B 36, 5877 (1987).
    [CrossRef] [PubMed]
  7. R. Merlin, K. Bajema, R. Clarke, F. -Y. Juang, and P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs Heterostructures," Phys. Rev. Lett. 55, 1768 (1985).
    [CrossRef] [PubMed]
  8. J. B. Sokoloff, "Anomalous Electrical Conduction in Quasicrystals and Fibonacci Lattices," Phys. Rev. Lett. 58, 2267 (1987).
    [CrossRef] [PubMed]
  9. Ch. Wang and R. A. Barrio, "Theory of the Raman Response in Fibonacci Superlattices," Phys. Rev. Lett. 61, 191 (1988).
    [CrossRef] [PubMed]
  10. E. Macia and F. Dom?nguez-Adame, "Physical Nature of Critical Wave Functions in Fibonacci Systems," Phys. Rev. Lett. 76, 2957 (1996).
    [CrossRef]
  11. F. Piechon, "Anomalous Diffusion Properties of Wave Packets on Quasiperiodic Chains," Phys. Rev. Lett. 76, 4372 (1996).
    [CrossRef]
  12. X. Huang and Ch. Gong, "Property of Fibonacci numbers and the periodiclike perfectly transparent electronic states in Fibonacci chains," Phys. Rev. B 58, 739 (1998).
    [CrossRef]
  13. F. Steinbach, A. Ossipov, T. Kottos, and T. Geisel, "Statistics of Resonances and of Delay Times in Quasiperiodic Schrödinger Equations," Phys. Rev. Lett. 85, 4426 (2000).
    [CrossRef] [PubMed]
  14. W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633 (1994).
    [CrossRef]
  15. T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220, (1994).
    [CrossRef]
  16. D. Lusk, I. Abdulhalim, and F. Placido, "Omnidirectional reflection from Fibonacci quasi-periodic one-dimensional photonic crystal," Opt. Commun. 198, 273 (2001).
    [CrossRef]
  17. E. Cojocaru, "Omnidirectional Reflection from Finite Periodic and Fibonacci Quasi-Periodic Multilayers of Alternating Isotropic and Birefringent Thin Films," Appl. Opt. 41, 747 (2002).
    [CrossRef] [PubMed]
  18. L. dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light Transport through the Band-Edge States of Fibonacci Quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
    [CrossRef]
  19. A. N. Poddubny, L. Pilozzi, M. M. Voronov, and E. L. Ivchenko, "Resonant Fibonacci quantum well structures in one dimension," Phys. Rev. B,  77, 113306, (2008).
    [CrossRef]
  20. J , Hendrickson, B. C. Richards, J. Sweet, G. Khitrova, A. N. Poddubny, E. L. Ivchenko, M. Wegener, and H. M. Gibbs, "Excitonic polaritons in Fibonacci quasi-crystals," Opt. Express 16, 15382 (2008).
    [CrossRef] [PubMed]
  21. L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).
    [CrossRef]
  22. H. Sakata, H. Takeuchi, K. Natsume, and S. Suzuki, "Vertical-cavity organic lasers with distributed-feedback structures based on active Bragg reflectors," Opt. Exppress 14, 11681 (2006).
    [CrossRef]
  23. R. Katouf, T. Komikado, M. Itoh, T. Yatagai, and S. Umegaki, "Ultra-fast optical switches using 1D polymeric photonic crystals," Photonics and Nanostructures - Fundamentals and Applications 3, 116 (2005).
    [CrossRef]
  24. N. Valappil, M. Luberto, V. M. Menon, I. Zeylikovich, T. K. Gayen, J. Franco, B. B. Das, and R. R. Alfano. "Solution processed microcavity structures with embedded quantum dots," Photonics and Nanostructures: Fundamentals and Applications 5, 184 (2007).
    [CrossRef]
  25. V. M. Menon, M. Luberto, N. V. Valappil, and S. Chatterjee, "Lasing from quantum dots in a spin-coated flexible microcavity," Opt. Express 16, 19535 (2008).
    [CrossRef] [PubMed]
  26. L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, "Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach," Phys. Rev. B 76, 075350 (2007).
    [CrossRef]
  27. G. Bjork, "On the spontaneous lifetime change in an ideal planar microcavity-transition from a mode continuum to quantized modes," IEEE J. Quantum Electron. 30, 2314 (1994).
    [CrossRef]

2008 (3)

2007 (2)

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, "Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach," Phys. Rev. B 76, 075350 (2007).
[CrossRef]

N. Valappil, M. Luberto, V. M. Menon, I. Zeylikovich, T. K. Gayen, J. Franco, B. B. Das, and R. R. Alfano. "Solution processed microcavity structures with embedded quantum dots," Photonics and Nanostructures: Fundamentals and Applications 5, 184 (2007).
[CrossRef]

2006 (1)

H. Sakata, H. Takeuchi, K. Natsume, and S. Suzuki, "Vertical-cavity organic lasers with distributed-feedback structures based on active Bragg reflectors," Opt. Exppress 14, 11681 (2006).
[CrossRef]

2005 (1)

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

2003 (1)

L. dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light Transport through the Band-Edge States of Fibonacci Quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

2002 (2)

M. Loncar, T. Yoshie, A. Scherer, P. Gogna, and Y. Qiu, "Low-threshold photonic crystal laser," Appl. Phys. Lett. 81, 2680 (2002); H-G Park, S-H. Kim, S.-H. Kwon, Y.-G. Ju, J.-K. Yang, J.-H. Baek, S.-B. Kim, and Y.-H. Lee, "Electrically Driven Single-Cell Photonic Crystal Laser," Science 305, 1444 (2004).
[CrossRef]

E. Cojocaru, "Omnidirectional Reflection from Finite Periodic and Fibonacci Quasi-Periodic Multilayers of Alternating Isotropic and Birefringent Thin Films," Appl. Opt. 41, 747 (2002).
[CrossRef] [PubMed]

2001 (1)

D. Lusk, I. Abdulhalim, and F. Placido, "Omnidirectional reflection from Fibonacci quasi-periodic one-dimensional photonic crystal," Opt. Commun. 198, 273 (2001).
[CrossRef]

2000 (1)

F. Steinbach, A. Ossipov, T. Kottos, and T. Geisel, "Statistics of Resonances and of Delay Times in Quasiperiodic Schrödinger Equations," Phys. Rev. Lett. 85, 4426 (2000).
[CrossRef] [PubMed]

1998 (1)

X. Huang and Ch. Gong, "Property of Fibonacci numbers and the periodiclike perfectly transparent electronic states in Fibonacci chains," Phys. Rev. B 58, 739 (1998).
[CrossRef]

1996 (2)

E. Macia and F. Dom?nguez-Adame, "Physical Nature of Critical Wave Functions in Fibonacci Systems," Phys. Rev. Lett. 76, 2957 (1996).
[CrossRef]

F. Piechon, "Anomalous Diffusion Properties of Wave Packets on Quasiperiodic Chains," Phys. Rev. Lett. 76, 4372 (1996).
[CrossRef]

1994 (3)

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633 (1994).
[CrossRef]

T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220, (1994).
[CrossRef]

G. Bjork, "On the spontaneous lifetime change in an ideal planar microcavity-transition from a mode continuum to quantized modes," IEEE J. Quantum Electron. 30, 2314 (1994).
[CrossRef]

1989 (1)

T. Fujiwara, M. Kohmoto, and T. Tokihiro, "Multifractal wave functions on a Fibonacci lattice," Phys. Rev. B 40, 7413 (1989).
[CrossRef]

1988 (2)

G. Gumbs and M. K. Ali, "Dynamical maps, Cantor spectra, and localization for Fibonacci and related quasiperiodic lattices," Phys. Rev. Lett. 60, 1081 (1988).
[CrossRef] [PubMed]

Ch. Wang and R. A. Barrio, "Theory of the Raman Response in Fibonacci Superlattices," Phys. Rev. Lett. 61, 191 (1988).
[CrossRef] [PubMed]

1987 (2)

J. B. Sokoloff, "Anomalous Electrical Conduction in Quasicrystals and Fibonacci Lattices," Phys. Rev. Lett. 58, 2267 (1987).
[CrossRef] [PubMed]

M. Kohmoto, B. Sutherland, and K. Iguchi, "Localization of optics: Quasiperiodic media," Phys. Rev. Lett. 58, 2436 (1987);B. Sutherland and M. Kohmoto, "Resistance of a one-dimensional quasicrystal: Power-law growth," Phys. Rev. B 36, 5877 (1987).
[CrossRef] [PubMed]

1986 (1)

F. Nori and J. P. Rodriguez, "Acoustic and electronic properties of one-dimensional quasicrystals," Phys. Rev. B 34, 2207 (1986).
[CrossRef]

1985 (1)

R. Merlin, K. Bajema, R. Clarke, F. -Y. Juang, and P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs Heterostructures," Phys. Rev. Lett. 55, 1768 (1985).
[CrossRef] [PubMed]

Abdulhalim, I.

D. Lusk, I. Abdulhalim, and F. Placido, "Omnidirectional reflection from Fibonacci quasi-periodic one-dimensional photonic crystal," Opt. Commun. 198, 273 (2001).
[CrossRef]

Alfano, R. R.

N. Valappil, M. Luberto, V. M. Menon, I. Zeylikovich, T. K. Gayen, J. Franco, B. B. Das, and R. R. Alfano. "Solution processed microcavity structures with embedded quantum dots," Photonics and Nanostructures: Fundamentals and Applications 5, 184 (2007).
[CrossRef]

Ali, M. K.

G. Gumbs and M. K. Ali, "Dynamical maps, Cantor spectra, and localization for Fibonacci and related quasiperiodic lattices," Phys. Rev. Lett. 60, 1081 (1988).
[CrossRef] [PubMed]

Bajema, K.

R. Merlin, K. Bajema, R. Clarke, F. -Y. Juang, and P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs Heterostructures," Phys. Rev. Lett. 55, 1768 (1985).
[CrossRef] [PubMed]

Barrio, R. A.

Ch. Wang and R. A. Barrio, "Theory of the Raman Response in Fibonacci Superlattices," Phys. Rev. Lett. 61, 191 (1988).
[CrossRef] [PubMed]

Bhattacharya, P. K.

R. Merlin, K. Bajema, R. Clarke, F. -Y. Juang, and P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs Heterostructures," Phys. Rev. Lett. 55, 1768 (1985).
[CrossRef] [PubMed]

Bjork, G.

G. Bjork, "On the spontaneous lifetime change in an ideal planar microcavity-transition from a mode continuum to quantized modes," IEEE J. Quantum Electron. 30, 2314 (1994).
[CrossRef]

Chatterjee, S.

Clarke, R.

R. Merlin, K. Bajema, R. Clarke, F. -Y. Juang, and P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs Heterostructures," Phys. Rev. Lett. 55, 1768 (1985).
[CrossRef] [PubMed]

Cojocaru, E.

Colocci, M.

L. dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light Transport through the Band-Edge States of Fibonacci Quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

Dal Negro, L.

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

L. dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light Transport through the Band-Edge States of Fibonacci Quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

Das, B. B.

N. Valappil, M. Luberto, V. M. Menon, I. Zeylikovich, T. K. Gayen, J. Franco, B. B. Das, and R. R. Alfano. "Solution processed microcavity structures with embedded quantum dots," Photonics and Nanostructures: Fundamentals and Applications 5, 184 (2007).
[CrossRef]

Deych, L. I.

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, "Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach," Phys. Rev. B 76, 075350 (2007).
[CrossRef]

Erementchouk, M. V.

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, "Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach," Phys. Rev. B 76, 075350 (2007).
[CrossRef]

Franco, J.

N. Valappil, M. Luberto, V. M. Menon, I. Zeylikovich, T. K. Gayen, J. Franco, B. B. Das, and R. R. Alfano. "Solution processed microcavity structures with embedded quantum dots," Photonics and Nanostructures: Fundamentals and Applications 5, 184 (2007).
[CrossRef]

Fujiwara, T.

T. Fujiwara, M. Kohmoto, and T. Tokihiro, "Multifractal wave functions on a Fibonacci lattice," Phys. Rev. B 40, 7413 (1989).
[CrossRef]

Gaburro, Z.

L. dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light Transport through the Band-Edge States of Fibonacci Quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

Gayen, T. K.

N. Valappil, M. Luberto, V. M. Menon, I. Zeylikovich, T. K. Gayen, J. Franco, B. B. Das, and R. R. Alfano. "Solution processed microcavity structures with embedded quantum dots," Photonics and Nanostructures: Fundamentals and Applications 5, 184 (2007).
[CrossRef]

Geisel, T.

F. Steinbach, A. Ossipov, T. Kottos, and T. Geisel, "Statistics of Resonances and of Delay Times in Quasiperiodic Schrödinger Equations," Phys. Rev. Lett. 85, 4426 (2000).
[CrossRef] [PubMed]

Gellermann, W.

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633 (1994).
[CrossRef]

Gibbs, H. M.

Gogna, P.

M. Loncar, T. Yoshie, A. Scherer, P. Gogna, and Y. Qiu, "Low-threshold photonic crystal laser," Appl. Phys. Lett. 81, 2680 (2002); H-G Park, S-H. Kim, S.-H. Kwon, Y.-G. Ju, J.-K. Yang, J.-H. Baek, S.-B. Kim, and Y.-H. Lee, "Electrically Driven Single-Cell Photonic Crystal Laser," Science 305, 1444 (2004).
[CrossRef]

Gong, Ch.

X. Huang and Ch. Gong, "Property of Fibonacci numbers and the periodiclike perfectly transparent electronic states in Fibonacci chains," Phys. Rev. B 58, 739 (1998).
[CrossRef]

Gumbs, G.

G. Gumbs and M. K. Ali, "Dynamical maps, Cantor spectra, and localization for Fibonacci and related quasiperiodic lattices," Phys. Rev. Lett. 60, 1081 (1988).
[CrossRef] [PubMed]

Hattori, T.

T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220, (1994).
[CrossRef]

Hendrickson, J

Huang, X.

X. Huang and Ch. Gong, "Property of Fibonacci numbers and the periodiclike perfectly transparent electronic states in Fibonacci chains," Phys. Rev. B 58, 739 (1998).
[CrossRef]

Iguchi, K.

M. Kohmoto, B. Sutherland, and K. Iguchi, "Localization of optics: Quasiperiodic media," Phys. Rev. Lett. 58, 2436 (1987);B. Sutherland and M. Kohmoto, "Resistance of a one-dimensional quasicrystal: Power-law growth," Phys. Rev. B 36, 5877 (1987).
[CrossRef] [PubMed]

Itoh, M.

R. Katouf, T. Komikado, M. Itoh, T. Yatagai, and S. Umegaki, "Ultra-fast optical switches using 1D polymeric photonic crystals," Photonics and Nanostructures - Fundamentals and Applications 3, 116 (2005).
[CrossRef]

Ivchenko, E. L.

J , Hendrickson, B. C. Richards, J. Sweet, G. Khitrova, A. N. Poddubny, E. L. Ivchenko, M. Wegener, and H. M. Gibbs, "Excitonic polaritons in Fibonacci quasi-crystals," Opt. Express 16, 15382 (2008).
[CrossRef] [PubMed]

A. N. Poddubny, L. Pilozzi, M. M. Voronov, and E. L. Ivchenko, "Resonant Fibonacci quantum well structures in one dimension," Phys. Rev. B,  77, 113306, (2008).
[CrossRef]

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, "Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach," Phys. Rev. B 76, 075350 (2007).
[CrossRef]

Johnson, P.

L. dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light Transport through the Band-Edge States of Fibonacci Quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

Juang, F. -Y.

R. Merlin, K. Bajema, R. Clarke, F. -Y. Juang, and P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs Heterostructures," Phys. Rev. Lett. 55, 1768 (1985).
[CrossRef] [PubMed]

Katouf, R.

R. Katouf, T. Komikado, M. Itoh, T. Yatagai, and S. Umegaki, "Ultra-fast optical switches using 1D polymeric photonic crystals," Photonics and Nanostructures - Fundamentals and Applications 3, 116 (2005).
[CrossRef]

Kawato, S.

T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220, (1994).
[CrossRef]

Khitrova, G.

Kimerling, L. C.

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

Kohmoto, M.

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633 (1994).
[CrossRef]

T. Fujiwara, M. Kohmoto, and T. Tokihiro, "Multifractal wave functions on a Fibonacci lattice," Phys. Rev. B 40, 7413 (1989).
[CrossRef]

M. Kohmoto, B. Sutherland, and K. Iguchi, "Localization of optics: Quasiperiodic media," Phys. Rev. Lett. 58, 2436 (1987);B. Sutherland and M. Kohmoto, "Resistance of a one-dimensional quasicrystal: Power-law growth," Phys. Rev. B 36, 5877 (1987).
[CrossRef] [PubMed]

Komikado, T.

R. Katouf, T. Komikado, M. Itoh, T. Yatagai, and S. Umegaki, "Ultra-fast optical switches using 1D polymeric photonic crystals," Photonics and Nanostructures - Fundamentals and Applications 3, 116 (2005).
[CrossRef]

Kottos, T.

F. Steinbach, A. Ossipov, T. Kottos, and T. Geisel, "Statistics of Resonances and of Delay Times in Quasiperiodic Schrödinger Equations," Phys. Rev. Lett. 85, 4426 (2000).
[CrossRef] [PubMed]

Lagendijk, A.

L. dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light Transport through the Band-Edge States of Fibonacci Quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

Lisyansky, A. A.

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, "Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach," Phys. Rev. B 76, 075350 (2007).
[CrossRef]

Loncar, M.

M. Loncar, T. Yoshie, A. Scherer, P. Gogna, and Y. Qiu, "Low-threshold photonic crystal laser," Appl. Phys. Lett. 81, 2680 (2002); H-G Park, S-H. Kim, S.-H. Kwon, Y.-G. Ju, J.-K. Yang, J.-H. Baek, S.-B. Kim, and Y.-H. Lee, "Electrically Driven Single-Cell Photonic Crystal Laser," Science 305, 1444 (2004).
[CrossRef]

Luberto, M.

V. M. Menon, M. Luberto, N. V. Valappil, and S. Chatterjee, "Lasing from quantum dots in a spin-coated flexible microcavity," Opt. Express 16, 19535 (2008).
[CrossRef] [PubMed]

N. Valappil, M. Luberto, V. M. Menon, I. Zeylikovich, T. K. Gayen, J. Franco, B. B. Das, and R. R. Alfano. "Solution processed microcavity structures with embedded quantum dots," Photonics and Nanostructures: Fundamentals and Applications 5, 184 (2007).
[CrossRef]

Lusk, D.

D. Lusk, I. Abdulhalim, and F. Placido, "Omnidirectional reflection from Fibonacci quasi-periodic one-dimensional photonic crystal," Opt. Commun. 198, 273 (2001).
[CrossRef]

Menon, V. M.

V. M. Menon, M. Luberto, N. V. Valappil, and S. Chatterjee, "Lasing from quantum dots in a spin-coated flexible microcavity," Opt. Express 16, 19535 (2008).
[CrossRef] [PubMed]

N. Valappil, M. Luberto, V. M. Menon, I. Zeylikovich, T. K. Gayen, J. Franco, B. B. Das, and R. R. Alfano. "Solution processed microcavity structures with embedded quantum dots," Photonics and Nanostructures: Fundamentals and Applications 5, 184 (2007).
[CrossRef]

Merlin, R.

R. Merlin, K. Bajema, R. Clarke, F. -Y. Juang, and P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs Heterostructures," Phys. Rev. Lett. 55, 1768 (1985).
[CrossRef] [PubMed]

Michel, J.

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

Nakatsuka, H.

T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220, (1994).
[CrossRef]

Natsume, K.

H. Sakata, H. Takeuchi, K. Natsume, and S. Suzuki, "Vertical-cavity organic lasers with distributed-feedback structures based on active Bragg reflectors," Opt. Exppress 14, 11681 (2006).
[CrossRef]

Nguyen, V.

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

Nori, F.

F. Nori and J. P. Rodriguez, "Acoustic and electronic properties of one-dimensional quasicrystals," Phys. Rev. B 34, 2207 (1986).
[CrossRef]

Ossipov, A.

F. Steinbach, A. Ossipov, T. Kottos, and T. Geisel, "Statistics of Resonances and of Delay Times in Quasiperiodic Schrödinger Equations," Phys. Rev. Lett. 85, 4426 (2000).
[CrossRef] [PubMed]

Oton, C. J.

L. dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light Transport through the Band-Edge States of Fibonacci Quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

Pavesi, L.

L. dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light Transport through the Band-Edge States of Fibonacci Quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

Piechon, F.

F. Piechon, "Anomalous Diffusion Properties of Wave Packets on Quasiperiodic Chains," Phys. Rev. Lett. 76, 4372 (1996).
[CrossRef]

Pilozzi, L.

A. N. Poddubny, L. Pilozzi, M. M. Voronov, and E. L. Ivchenko, "Resonant Fibonacci quantum well structures in one dimension," Phys. Rev. B,  77, 113306, (2008).
[CrossRef]

Placido, F.

D. Lusk, I. Abdulhalim, and F. Placido, "Omnidirectional reflection from Fibonacci quasi-periodic one-dimensional photonic crystal," Opt. Commun. 198, 273 (2001).
[CrossRef]

Poddubny, A. N.

A. N. Poddubny, L. Pilozzi, M. M. Voronov, and E. L. Ivchenko, "Resonant Fibonacci quantum well structures in one dimension," Phys. Rev. B,  77, 113306, (2008).
[CrossRef]

J , Hendrickson, B. C. Richards, J. Sweet, G. Khitrova, A. N. Poddubny, E. L. Ivchenko, M. Wegener, and H. M. Gibbs, "Excitonic polaritons in Fibonacci quasi-crystals," Opt. Express 16, 15382 (2008).
[CrossRef] [PubMed]

Qiu, Y.

M. Loncar, T. Yoshie, A. Scherer, P. Gogna, and Y. Qiu, "Low-threshold photonic crystal laser," Appl. Phys. Lett. 81, 2680 (2002); H-G Park, S-H. Kim, S.-H. Kwon, Y.-G. Ju, J.-K. Yang, J.-H. Baek, S.-B. Kim, and Y.-H. Lee, "Electrically Driven Single-Cell Photonic Crystal Laser," Science 305, 1444 (2004).
[CrossRef]

Richards, B. C.

Righini, R.

L. dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light Transport through the Band-Edge States of Fibonacci Quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

Rodriguez, J. P.

F. Nori and J. P. Rodriguez, "Acoustic and electronic properties of one-dimensional quasicrystals," Phys. Rev. B 34, 2207 (1986).
[CrossRef]

Sakata, H.

H. Sakata, H. Takeuchi, K. Natsume, and S. Suzuki, "Vertical-cavity organic lasers with distributed-feedback structures based on active Bragg reflectors," Opt. Exppress 14, 11681 (2006).
[CrossRef]

Scherer, A.

M. Loncar, T. Yoshie, A. Scherer, P. Gogna, and Y. Qiu, "Low-threshold photonic crystal laser," Appl. Phys. Lett. 81, 2680 (2002); H-G Park, S-H. Kim, S.-H. Kwon, Y.-G. Ju, J.-K. Yang, J.-H. Baek, S.-B. Kim, and Y.-H. Lee, "Electrically Driven Single-Cell Photonic Crystal Laser," Science 305, 1444 (2004).
[CrossRef]

Sokoloff, J. B.

J. B. Sokoloff, "Anomalous Electrical Conduction in Quasicrystals and Fibonacci Lattices," Phys. Rev. Lett. 58, 2267 (1987).
[CrossRef] [PubMed]

Steinbach, F.

F. Steinbach, A. Ossipov, T. Kottos, and T. Geisel, "Statistics of Resonances and of Delay Times in Quasiperiodic Schrödinger Equations," Phys. Rev. Lett. 85, 4426 (2000).
[CrossRef] [PubMed]

Sutherland, B.

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633 (1994).
[CrossRef]

M. Kohmoto, B. Sutherland, and K. Iguchi, "Localization of optics: Quasiperiodic media," Phys. Rev. Lett. 58, 2436 (1987);B. Sutherland and M. Kohmoto, "Resistance of a one-dimensional quasicrystal: Power-law growth," Phys. Rev. B 36, 5877 (1987).
[CrossRef] [PubMed]

Suzuki, S.

H. Sakata, H. Takeuchi, K. Natsume, and S. Suzuki, "Vertical-cavity organic lasers with distributed-feedback structures based on active Bragg reflectors," Opt. Exppress 14, 11681 (2006).
[CrossRef]

Sweet, J.

Takeuchi, H.

H. Sakata, H. Takeuchi, K. Natsume, and S. Suzuki, "Vertical-cavity organic lasers with distributed-feedback structures based on active Bragg reflectors," Opt. Exppress 14, 11681 (2006).
[CrossRef]

Taylor, P. C.

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633 (1994).
[CrossRef]

Tokihiro, T.

T. Fujiwara, M. Kohmoto, and T. Tokihiro, "Multifractal wave functions on a Fibonacci lattice," Phys. Rev. B 40, 7413 (1989).
[CrossRef]

Tsurumachi, N.

T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220, (1994).
[CrossRef]

Umegaki, S.

R. Katouf, T. Komikado, M. Itoh, T. Yatagai, and S. Umegaki, "Ultra-fast optical switches using 1D polymeric photonic crystals," Photonics and Nanostructures - Fundamentals and Applications 3, 116 (2005).
[CrossRef]

Valappil, N.

N. Valappil, M. Luberto, V. M. Menon, I. Zeylikovich, T. K. Gayen, J. Franco, B. B. Das, and R. R. Alfano. "Solution processed microcavity structures with embedded quantum dots," Photonics and Nanostructures: Fundamentals and Applications 5, 184 (2007).
[CrossRef]

Valappil, N. V.

Voronov, M. M.

A. N. Poddubny, L. Pilozzi, M. M. Voronov, and E. L. Ivchenko, "Resonant Fibonacci quantum well structures in one dimension," Phys. Rev. B,  77, 113306, (2008).
[CrossRef]

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, "Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach," Phys. Rev. B 76, 075350 (2007).
[CrossRef]

Wang, Ch.

Ch. Wang and R. A. Barrio, "Theory of the Raman Response in Fibonacci Superlattices," Phys. Rev. Lett. 61, 191 (1988).
[CrossRef] [PubMed]

Wegener, M.

Wiersma, D. S.

L. dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light Transport through the Band-Edge States of Fibonacci Quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

Yatagai, T.

R. Katouf, T. Komikado, M. Itoh, T. Yatagai, and S. Umegaki, "Ultra-fast optical switches using 1D polymeric photonic crystals," Photonics and Nanostructures - Fundamentals and Applications 3, 116 (2005).
[CrossRef]

Yi, J. H.

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

Yi, Y.

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

Yoshie, T.

M. Loncar, T. Yoshie, A. Scherer, P. Gogna, and Y. Qiu, "Low-threshold photonic crystal laser," Appl. Phys. Lett. 81, 2680 (2002); H-G Park, S-H. Kim, S.-H. Kwon, Y.-G. Ju, J.-K. Yang, J.-H. Baek, S.-B. Kim, and Y.-H. Lee, "Electrically Driven Single-Cell Photonic Crystal Laser," Science 305, 1444 (2004).
[CrossRef]

Zeylikovich, I.

N. Valappil, M. Luberto, V. M. Menon, I. Zeylikovich, T. K. Gayen, J. Franco, B. B. Das, and R. R. Alfano. "Solution processed microcavity structures with embedded quantum dots," Photonics and Nanostructures: Fundamentals and Applications 5, 184 (2007).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (2)

M. Loncar, T. Yoshie, A. Scherer, P. Gogna, and Y. Qiu, "Low-threshold photonic crystal laser," Appl. Phys. Lett. 81, 2680 (2002); H-G Park, S-H. Kim, S.-H. Kwon, Y.-G. Ju, J.-K. Yang, J.-H. Baek, S.-B. Kim, and Y.-H. Lee, "Electrically Driven Single-Cell Photonic Crystal Laser," Science 305, 1444 (2004).
[CrossRef]

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

Fundamentals and Applications (1)

N. Valappil, M. Luberto, V. M. Menon, I. Zeylikovich, T. K. Gayen, J. Franco, B. B. Das, and R. R. Alfano. "Solution processed microcavity structures with embedded quantum dots," Photonics and Nanostructures: Fundamentals and Applications 5, 184 (2007).
[CrossRef]

IEEE J. Quantum Electron. (1)

G. Bjork, "On the spontaneous lifetime change in an ideal planar microcavity-transition from a mode continuum to quantized modes," IEEE J. Quantum Electron. 30, 2314 (1994).
[CrossRef]

Opt. Commun. (1)

D. Lusk, I. Abdulhalim, and F. Placido, "Omnidirectional reflection from Fibonacci quasi-periodic one-dimensional photonic crystal," Opt. Commun. 198, 273 (2001).
[CrossRef]

Opt. Exppress (1)

H. Sakata, H. Takeuchi, K. Natsume, and S. Suzuki, "Vertical-cavity organic lasers with distributed-feedback structures based on active Bragg reflectors," Opt. Exppress 14, 11681 (2006).
[CrossRef]

Opt. Express (2)

Phys. Rev. B (6)

A. N. Poddubny, L. Pilozzi, M. M. Voronov, and E. L. Ivchenko, "Resonant Fibonacci quantum well structures in one dimension," Phys. Rev. B,  77, 113306, (2008).
[CrossRef]

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, "Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach," Phys. Rev. B 76, 075350 (2007).
[CrossRef]

T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220, (1994).
[CrossRef]

X. Huang and Ch. Gong, "Property of Fibonacci numbers and the periodiclike perfectly transparent electronic states in Fibonacci chains," Phys. Rev. B 58, 739 (1998).
[CrossRef]

F. Nori and J. P. Rodriguez, "Acoustic and electronic properties of one-dimensional quasicrystals," Phys. Rev. B 34, 2207 (1986).
[CrossRef]

T. Fujiwara, M. Kohmoto, and T. Tokihiro, "Multifractal wave functions on a Fibonacci lattice," Phys. Rev. B 40, 7413 (1989).
[CrossRef]

Phys. Rev. Lett. (9)

M. Kohmoto, B. Sutherland, and K. Iguchi, "Localization of optics: Quasiperiodic media," Phys. Rev. Lett. 58, 2436 (1987);B. Sutherland and M. Kohmoto, "Resistance of a one-dimensional quasicrystal: Power-law growth," Phys. Rev. B 36, 5877 (1987).
[CrossRef] [PubMed]

R. Merlin, K. Bajema, R. Clarke, F. -Y. Juang, and P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs Heterostructures," Phys. Rev. Lett. 55, 1768 (1985).
[CrossRef] [PubMed]

J. B. Sokoloff, "Anomalous Electrical Conduction in Quasicrystals and Fibonacci Lattices," Phys. Rev. Lett. 58, 2267 (1987).
[CrossRef] [PubMed]

Ch. Wang and R. A. Barrio, "Theory of the Raman Response in Fibonacci Superlattices," Phys. Rev. Lett. 61, 191 (1988).
[CrossRef] [PubMed]

E. Macia and F. Dom?nguez-Adame, "Physical Nature of Critical Wave Functions in Fibonacci Systems," Phys. Rev. Lett. 76, 2957 (1996).
[CrossRef]

F. Piechon, "Anomalous Diffusion Properties of Wave Packets on Quasiperiodic Chains," Phys. Rev. Lett. 76, 4372 (1996).
[CrossRef]

F. Steinbach, A. Ossipov, T. Kottos, and T. Geisel, "Statistics of Resonances and of Delay Times in Quasiperiodic Schrödinger Equations," Phys. Rev. Lett. 85, 4426 (2000).
[CrossRef] [PubMed]

G. Gumbs and M. K. Ali, "Dynamical maps, Cantor spectra, and localization for Fibonacci and related quasiperiodic lattices," Phys. Rev. Lett. 60, 1081 (1988).
[CrossRef] [PubMed]

L. dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light Transport through the Band-Edge States of Fibonacci Quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

Phys.Rev.Lett. (1)

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633 (1994).
[CrossRef]

Other (2)

T. Fujiwara and T. Ogawa, Quasicrystals (Springer Verlag, Berlin, 1990).

R. Katouf, T. Komikado, M. Itoh, T. Yatagai, and S. Umegaki, "Ultra-fast optical switches using 1D polymeric photonic crystals," Photonics and Nanostructures - Fundamentals and Applications 3, 116 (2005).
[CrossRef]

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Figures (3)

Fig. 1.
Fig. 1.

(a) Schematic drawing of the spin-coated one-dimensional Fibonacci photonic quasicrystal and (b) its calculated transmissivity. The inset in 1(b) shows the calculated spatial distribution of the intensity of the electric field at the pseudo-bandedge indicating a localized mode.

Fig. 2.
Fig. 2.

Room temperature transmissivity and PL observed from the active Fibonacci photonic quasicrystal in the direction normal to the surface of the sample. Also shown in the figure are the theoretically simulated transmission and PL spectra

Fig. 3
Fig. 3

Time resolved PL spectra of the sulforhodamine dye embedded in the Fibonacci photonic quasicrystal on resonance (blue) and off resonance (green) with the pseudo bandedge mode. Also shown is the time resolved PL observed from the bare dye (red).

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

( ω 2 ω em 2 + 2 iγω ) P nc ( z , ω ) = Γ ω em ( z , ω , k ) ,
ε ( ω , z ) = ε A + A ω 2 ω abs 2 + 2 iγω ,
E ( m ) = t T R T ( N , m + 1 ) V ( m ) ,
V 1,2 ( m ) = ζ 1,2 Γ ω em ω 2 ω em 2 + 2 iγω e ± iq z + ( m ) 2 q z ( m ) z + ( m ) e iqz ( z ) dz ; ζ 1 = i , ζ 2 = 1

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