Abstract

The fabrication and characterization of light-emitting one-dimensional photonic quasicrystals based on excitonic resonances is reported. The structures consist of high-quality GaAs/AlGaAs quantum wells grown by molecular-beam epitaxy with wavelength-scale spacings satisfying a Fibonacci sequence. The polaritonic (resonant light-matter coupling) effects and light emission originate from the quantum well excitonic resonances. Measured reflectivity spectra as a function of detuning between emission and Bragg wavelength are in good agreement with excitonic polariton theory. Photoluminescence experiments show that active photonic quasicrystals, unlike photonic crystals, can be good light emitters: While their long-range order results in a stopband similar to that of photonic crystals, the lack of periodicity results in strong emission.

© 2008 Optical Society of America

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    [CrossRef] [PubMed]
  4. W. Man, M. Megens, P. J. Steinhardt, P. M. Chaikin, "Experimental measurement of the photonic properties of icosehdral quasicrystals," Nature 436, 993-996 (2005).
    [CrossRef] [PubMed]
  5. B. Freedman et al, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006).
    [CrossRef] [PubMed]
  6. M. A. Kaliteevski et al, "Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals," J. Phys.: Condens. Matter 13, 10459-10470 (2001).
    [CrossRef]
  7. R. Merlin, K. Bajema, R. Clarke, F.-Y. Juang, P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs heterostructures," Phys. Rev. Lett. 55, 1768-1770 (1985).
    [CrossRef] [PubMed]
  8. F. Laruelle and B. Etienne, "Fibonacci invariant and electronic properties of GaAs/Ga1-xAlxAs quasiperiodic superlattices," Phys. Rev. B 37, 4816-4819 (1988).
    [CrossRef]
  9. W. Gellermann, M. Kohmoto, B. Sutherland, P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633-636 (1994).
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  10. N. Liu, "Propagation of light waves in Thue-Morse dielectric multilayers," Phys. Rev. B 55, 3543-3547 (1997).
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  11. R. W. Peng et al, "Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers," Appl. Phys. Lett. 80, 3063-3065 (2002).
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  12. L. Dal Negro et al, "Light transport through the band-edge states of Fibonacci quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
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  13. L. Dal Negro et al., "Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals," Appl. Phys. Lett. 84, 5186-5188 (2004).
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  14. T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220-4223 (1994).
    [CrossRef]
  15. M. A. Kaliteevski, V. V. Nikolaev, R. A. Abram, S. Brand, "Bandgap structures of optical Fibonacci lattices after light diffraction," Opt. Spectrosc. 91, 109-118 (2001).
    [CrossRef]
  16. L. Dal Negro et al., "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).
  17. K. Nozaki and T. Baba, "Quasiperiodic photonic crystal microcavity lasers," Appl. Phys. Lett. 84, 4875-4877 (2004).
    [CrossRef]
  18. S.-K. Kim, J.-H. Lee, S.-H. Kim, I.-K. Hwang, Y. H. Lee, "Photonic quasicrystal single-cell cavity mode," Appl. Phys. Lett. 86, 031101 (2005).
    [CrossRef]
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    [CrossRef]
  20. M. S. Vasconcelos, P. W. Mauriz, F. F. de Medeiros, E. L. Albuquerque, "Photonic band gaps in quasiperiodic photonic crystals with negative refractive index," Phys. Rev. B 76, 165117 (2007).
    [CrossRef]
  21. S. V. Gaponenko, S. V. Zhukovsky, A. V. Lavrinenko, K. S. Sandomirskii, "Propagation of waves in layered structures viewed as number recognition," Optics Commun. 205, 49-57 (2002).
    [CrossRef]
  22. M. S. Vasconcelos, E. L. Albuquerque, A. M. Mariz, "Optical localization in quasi-periodic multilayers," J. Phys. Cond. Mat. 10, 5839-5849 (1998).
    [CrossRef]
  23. E. M. Nascimento, F. A. B. F. de Moura, M. L. Lyra, "Scaling laws for the transmission of random binary dielectric multilayered structures," Phys. Rev. B 76,115120 (2007).
    [CrossRef]
  24. M. S. Vasconcelos and E. L. Albuquerque, "Plasmon-polariton fractal spectra in quasiperiodic multilayers," Phys. Rev. B 57, 2826-2833 (1998).
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  27. E. L. Ivchenko, A. I. Nesvizhskii, S. Jorda, "Bragg reflection of light from quantum-well structures," Phys. Sol. Stat. 36, 1156-1161 (1994).
  28. E. L. Ivchenko, Optical Spectroscopy of Semiconductor Nanostructures (Alpha Science International, Harrow, U. K., 2005).
  29. M. Hübner et al, "Optical lattices achieved by excitons in periodic quantum well structures," Phys. Rev. Lett. 83, 2841-2844 (1999).
    [CrossRef]
  30. J. P. Prineas et al, "Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
    [CrossRef]
  31. A. N. Poddubny, L. Pilozzi, M. M. Voronov, E. L. Ivchenko, "Resonant Fibonacci quantum well structures in one dimension," Phys. Rev. B 77, 113306 (2008).
    [CrossRef]
  32. V. P. Kochereshko et al, "Giant exciton resonance reflectance in Bragg MQW structures," Superlatt. Microstruct. Vol. 15, No. 4, 471-473 (1994).
    [CrossRef]
  33. L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, M. M. Voronov, "Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach," Phys. Rev. B 76, 075350 (2007).
    [CrossRef]

2008 (1)

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

2007 (3)

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

M. S. Vasconcelos, P. W. Mauriz, F. F. de Medeiros, E. L. Albuquerque, "Photonic band gaps in quasiperiodic photonic crystals with negative refractive index," Phys. Rev. B 76, 165117 (2007).
[CrossRef]

E. M. Nascimento, F. A. B. F. de Moura, M. L. Lyra, "Scaling laws for the transmission of random binary dielectric multilayered structures," Phys. Rev. B 76,115120 (2007).
[CrossRef]

2006 (2)

A. Ledermann et al, "Three-dimensional silicon inverse photonic quasicrystals for infrared wavelengths," Nat. Mater. 5, 942-945 (2006).
[CrossRef] [PubMed]

B. Freedman et al, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006).
[CrossRef] [PubMed]

2005 (3)

W. Man, M. Megens, P. J. Steinhardt, P. M. Chaikin, "Experimental measurement of the photonic properties of icosehdral quasicrystals," Nature 436, 993-996 (2005).
[CrossRef] [PubMed]

L. Dal Negro et al., "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).

S.-K. Kim, J.-H. Lee, S.-H. Kim, I.-K. Hwang, Y. H. Lee, "Photonic quasicrystal single-cell cavity mode," Appl. Phys. Lett. 86, 031101 (2005).
[CrossRef]

2004 (2)

K. Nozaki and T. Baba, "Quasiperiodic photonic crystal microcavity lasers," Appl. Phys. Lett. 84, 4875-4877 (2004).
[CrossRef]

L. Dal Negro et al., "Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals," Appl. Phys. Lett. 84, 5186-5188 (2004).
[CrossRef]

2003 (2)

L. Dal Negro et al, "Light transport through the band-edge states of Fibonacci quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

E. L. Albuquerque and M. G. Cottam, "Theory of elementary excitations in quasiperiodic structures," Phys. Reports 376, 225-337 (2003).
[CrossRef]

2002 (2)

R. W. Peng et al, "Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers," Appl. Phys. Lett. 80, 3063-3065 (2002).
[CrossRef]

S. V. Gaponenko, S. V. Zhukovsky, A. V. Lavrinenko, K. S. Sandomirskii, "Propagation of waves in layered structures viewed as number recognition," Optics Commun. 205, 49-57 (2002).
[CrossRef]

2001 (2)

M. A. Kaliteevski, V. V. Nikolaev, R. A. Abram, S. Brand, "Bandgap structures of optical Fibonacci lattices after light diffraction," Opt. Spectrosc. 91, 109-118 (2001).
[CrossRef]

M. A. Kaliteevski et al, "Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals," J. Phys.: Condens. Matter 13, 10459-10470 (2001).
[CrossRef]

2000 (1)

J. P. Prineas et al, "Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
[CrossRef]

1999 (1)

M. Hübner et al, "Optical lattices achieved by excitons in periodic quantum well structures," Phys. Rev. Lett. 83, 2841-2844 (1999).
[CrossRef]

1998 (2)

M. S. Vasconcelos, E. L. Albuquerque, A. M. Mariz, "Optical localization in quasi-periodic multilayers," J. Phys. Cond. Mat. 10, 5839-5849 (1998).
[CrossRef]

M. S. Vasconcelos and E. L. Albuquerque, "Plasmon-polariton fractal spectra in quasiperiodic multilayers," Phys. Rev. B 57, 2826-2833 (1998).
[CrossRef]

1997 (1)

N. Liu, "Propagation of light waves in Thue-Morse dielectric multilayers," Phys. Rev. B 55, 3543-3547 (1997).
[CrossRef]

1994 (4)

W. Gellermann, M. Kohmoto, B. Sutherland, P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633-636 (1994).
[CrossRef] [PubMed]

T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220-4223 (1994).
[CrossRef]

E. L. Ivchenko, A. I. Nesvizhskii, S. Jorda, "Bragg reflection of light from quantum-well structures," Phys. Sol. Stat. 36, 1156-1161 (1994).

V. P. Kochereshko et al, "Giant exciton resonance reflectance in Bragg MQW structures," Superlatt. Microstruct. Vol. 15, No. 4, 471-473 (1994).
[CrossRef]

1991 (1)

E. L. Ivchenko, "Excitonic polaritons in periodic quantum-well structures," Sov. Phys. Solid State 33, 1344-1349 (1991).

1988 (1)

F. Laruelle and B. Etienne, "Fibonacci invariant and electronic properties of GaAs/Ga1-xAlxAs quasiperiodic superlattices," Phys. Rev. B 37, 4816-4819 (1988).
[CrossRef]

1985 (1)

R. Merlin, K. Bajema, R. Clarke, F.-Y. Juang, P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs heterostructures," Phys. Rev. Lett. 55, 1768-1770 (1985).
[CrossRef] [PubMed]

1984 (1)

D. Shechtman, I. Blech, D. Gratias, J. W. Cahn, "Metallic phase with long-range orientational order and no translational symmetry," Phys. Rev. Lett. 53, 1951-1953 (1984).
[CrossRef]

Abram, R. A.

M. A. Kaliteevski, V. V. Nikolaev, R. A. Abram, S. Brand, "Bandgap structures of optical Fibonacci lattices after light diffraction," Opt. Spectrosc. 91, 109-118 (2001).
[CrossRef]

Albuquerque, E. L.

M. S. Vasconcelos, P. W. Mauriz, F. F. de Medeiros, E. L. Albuquerque, "Photonic band gaps in quasiperiodic photonic crystals with negative refractive index," Phys. Rev. B 76, 165117 (2007).
[CrossRef]

E. L. Albuquerque and M. G. Cottam, "Theory of elementary excitations in quasiperiodic structures," Phys. Reports 376, 225-337 (2003).
[CrossRef]

M. S. Vasconcelos, E. L. Albuquerque, A. M. Mariz, "Optical localization in quasi-periodic multilayers," J. Phys. Cond. Mat. 10, 5839-5849 (1998).
[CrossRef]

M. S. Vasconcelos and E. L. Albuquerque, "Plasmon-polariton fractal spectra in quasiperiodic multilayers," Phys. Rev. B 57, 2826-2833 (1998).
[CrossRef]

Baba, T.

K. Nozaki and T. Baba, "Quasiperiodic photonic crystal microcavity lasers," Appl. Phys. Lett. 84, 4875-4877 (2004).
[CrossRef]

Bajema, K.

R. Merlin, K. Bajema, R. Clarke, F.-Y. Juang, P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs heterostructures," Phys. Rev. Lett. 55, 1768-1770 (1985).
[CrossRef] [PubMed]

Bhattacharya, P. K.

R. Merlin, K. Bajema, R. Clarke, F.-Y. Juang, P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs heterostructures," Phys. Rev. Lett. 55, 1768-1770 (1985).
[CrossRef] [PubMed]

Blech, I.

D. Shechtman, I. Blech, D. Gratias, J. W. Cahn, "Metallic phase with long-range orientational order and no translational symmetry," Phys. Rev. Lett. 53, 1951-1953 (1984).
[CrossRef]

Brand, S.

M. A. Kaliteevski, V. V. Nikolaev, R. A. Abram, S. Brand, "Bandgap structures of optical Fibonacci lattices after light diffraction," Opt. Spectrosc. 91, 109-118 (2001).
[CrossRef]

Cahn, J. W.

D. Shechtman, I. Blech, D. Gratias, J. W. Cahn, "Metallic phase with long-range orientational order and no translational symmetry," Phys. Rev. Lett. 53, 1951-1953 (1984).
[CrossRef]

Chaikin, P. M.

W. Man, M. Megens, P. J. Steinhardt, P. M. Chaikin, "Experimental measurement of the photonic properties of icosehdral quasicrystals," Nature 436, 993-996 (2005).
[CrossRef] [PubMed]

Clarke, R.

R. Merlin, K. Bajema, R. Clarke, F.-Y. Juang, P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs heterostructures," Phys. Rev. Lett. 55, 1768-1770 (1985).
[CrossRef] [PubMed]

Cottam, M. G.

E. L. Albuquerque and M. G. Cottam, "Theory of elementary excitations in quasiperiodic structures," Phys. Reports 376, 225-337 (2003).
[CrossRef]

Dal Negro, L.

L. Dal Negro et al., "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).

L. Dal Negro et al., "Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals," Appl. Phys. Lett. 84, 5186-5188 (2004).
[CrossRef]

L. Dal Negro et al, "Light transport through the band-edge states of Fibonacci quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

de Medeiros, F. F.

M. S. Vasconcelos, P. W. Mauriz, F. F. de Medeiros, E. L. Albuquerque, "Photonic band gaps in quasiperiodic photonic crystals with negative refractive index," Phys. Rev. B 76, 165117 (2007).
[CrossRef]

de Moura, F. A. B. F.

E. M. Nascimento, F. A. B. F. de Moura, M. L. Lyra, "Scaling laws for the transmission of random binary dielectric multilayered structures," Phys. Rev. B 76,115120 (2007).
[CrossRef]

Deych, L. I.

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

Etienne, B.

F. Laruelle and B. Etienne, "Fibonacci invariant and electronic properties of GaAs/Ga1-xAlxAs quasiperiodic superlattices," Phys. Rev. B 37, 4816-4819 (1988).
[CrossRef]

Freedman, B.

B. Freedman et al, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006).
[CrossRef] [PubMed]

Gaponenko, S. V.

S. V. Gaponenko, S. V. Zhukovsky, A. V. Lavrinenko, K. S. Sandomirskii, "Propagation of waves in layered structures viewed as number recognition," Optics Commun. 205, 49-57 (2002).
[CrossRef]

Gellermann, W.

W. Gellermann, M. Kohmoto, B. Sutherland, P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633-636 (1994).
[CrossRef] [PubMed]

Gratias, D.

D. Shechtman, I. Blech, D. Gratias, J. W. Cahn, "Metallic phase with long-range orientational order and no translational symmetry," Phys. Rev. Lett. 53, 1951-1953 (1984).
[CrossRef]

Hattori, T.

T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220-4223 (1994).
[CrossRef]

Hübner, M.

M. Hübner et al, "Optical lattices achieved by excitons in periodic quantum well structures," Phys. Rev. Lett. 83, 2841-2844 (1999).
[CrossRef]

Hwang, I.-K.

S.-K. Kim, J.-H. Lee, S.-H. Kim, I.-K. Hwang, Y. H. Lee, "Photonic quasicrystal single-cell cavity mode," Appl. Phys. Lett. 86, 031101 (2005).
[CrossRef]

Ivchenko, E. L.

A. N. Poddubny, L. Pilozzi, M. M. Voronov, 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, M. M. Voronov, "Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach," Phys. Rev. B 76, 075350 (2007).
[CrossRef]

E. L. Ivchenko, A. I. Nesvizhskii, S. Jorda, "Bragg reflection of light from quantum-well structures," Phys. Sol. Stat. 36, 1156-1161 (1994).

E. L. Ivchenko, "Excitonic polaritons in periodic quantum-well structures," Sov. Phys. Solid State 33, 1344-1349 (1991).

Jorda, S.

E. L. Ivchenko, A. I. Nesvizhskii, S. Jorda, "Bragg reflection of light from quantum-well structures," Phys. Sol. Stat. 36, 1156-1161 (1994).

Juang, F.-Y.

R. Merlin, K. Bajema, R. Clarke, F.-Y. Juang, P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs heterostructures," Phys. Rev. Lett. 55, 1768-1770 (1985).
[CrossRef] [PubMed]

Kaliteevski, M. A.

M. A. Kaliteevski et al, "Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals," J. Phys.: Condens. Matter 13, 10459-10470 (2001).
[CrossRef]

M. A. Kaliteevski, V. V. Nikolaev, R. A. Abram, S. Brand, "Bandgap structures of optical Fibonacci lattices after light diffraction," Opt. Spectrosc. 91, 109-118 (2001).
[CrossRef]

Kawato, S.

T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220-4223 (1994).
[CrossRef]

Kim, S.-H.

S.-K. Kim, J.-H. Lee, S.-H. Kim, I.-K. Hwang, Y. H. Lee, "Photonic quasicrystal single-cell cavity mode," Appl. Phys. Lett. 86, 031101 (2005).
[CrossRef]

Kim, S.-K.

S.-K. Kim, J.-H. Lee, S.-H. Kim, I.-K. Hwang, Y. H. Lee, "Photonic quasicrystal single-cell cavity mode," Appl. Phys. Lett. 86, 031101 (2005).
[CrossRef]

Kochereshko, V. P.

V. P. Kochereshko et al, "Giant exciton resonance reflectance in Bragg MQW structures," Superlatt. Microstruct. Vol. 15, No. 4, 471-473 (1994).
[CrossRef]

Kohmoto, M.

W. Gellermann, M. Kohmoto, B. Sutherland, P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633-636 (1994).
[CrossRef] [PubMed]

Laruelle, F.

F. Laruelle and B. Etienne, "Fibonacci invariant and electronic properties of GaAs/Ga1-xAlxAs quasiperiodic superlattices," Phys. Rev. B 37, 4816-4819 (1988).
[CrossRef]

Lavrinenko, A. V.

S. V. Gaponenko, S. V. Zhukovsky, A. V. Lavrinenko, K. S. Sandomirskii, "Propagation of waves in layered structures viewed as number recognition," Optics Commun. 205, 49-57 (2002).
[CrossRef]

Ledermann, A.

A. Ledermann et al, "Three-dimensional silicon inverse photonic quasicrystals for infrared wavelengths," Nat. Mater. 5, 942-945 (2006).
[CrossRef] [PubMed]

Lee, J.-H.

S.-K. Kim, J.-H. Lee, S.-H. Kim, I.-K. Hwang, Y. H. Lee, "Photonic quasicrystal single-cell cavity mode," Appl. Phys. Lett. 86, 031101 (2005).
[CrossRef]

Lee, Y. H.

S.-K. Kim, J.-H. Lee, S.-H. Kim, I.-K. Hwang, Y. H. Lee, "Photonic quasicrystal single-cell cavity mode," Appl. Phys. Lett. 86, 031101 (2005).
[CrossRef]

Lisyansky, A. A.

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

Liu, N.

N. Liu, "Propagation of light waves in Thue-Morse dielectric multilayers," Phys. Rev. B 55, 3543-3547 (1997).
[CrossRef]

Lyra, M. L.

E. M. Nascimento, F. A. B. F. de Moura, M. L. Lyra, "Scaling laws for the transmission of random binary dielectric multilayered structures," Phys. Rev. B 76,115120 (2007).
[CrossRef]

Man, W.

W. Man, M. Megens, P. J. Steinhardt, P. M. Chaikin, "Experimental measurement of the photonic properties of icosehdral quasicrystals," Nature 436, 993-996 (2005).
[CrossRef] [PubMed]

Mariz, A. M.

M. S. Vasconcelos, E. L. Albuquerque, A. M. Mariz, "Optical localization in quasi-periodic multilayers," J. Phys. Cond. Mat. 10, 5839-5849 (1998).
[CrossRef]

Mauriz, P. W.

M. S. Vasconcelos, P. W. Mauriz, F. F. de Medeiros, E. L. Albuquerque, "Photonic band gaps in quasiperiodic photonic crystals with negative refractive index," Phys. Rev. B 76, 165117 (2007).
[CrossRef]

Megens, M.

W. Man, M. Megens, P. J. Steinhardt, P. M. Chaikin, "Experimental measurement of the photonic properties of icosehdral quasicrystals," Nature 436, 993-996 (2005).
[CrossRef] [PubMed]

Merlin, R.

R. Merlin, K. Bajema, R. Clarke, F.-Y. Juang, P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs heterostructures," Phys. Rev. Lett. 55, 1768-1770 (1985).
[CrossRef] [PubMed]

Nakatsuka, H.

T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220-4223 (1994).
[CrossRef]

Nascimento, E. M.

E. M. Nascimento, F. A. B. F. de Moura, M. L. Lyra, "Scaling laws for the transmission of random binary dielectric multilayered structures," Phys. Rev. B 76,115120 (2007).
[CrossRef]

Nesvizhskii, A. I.

E. L. Ivchenko, A. I. Nesvizhskii, S. Jorda, "Bragg reflection of light from quantum-well structures," Phys. Sol. Stat. 36, 1156-1161 (1994).

Nikolaev, V. V.

M. A. Kaliteevski, V. V. Nikolaev, R. A. Abram, S. Brand, "Bandgap structures of optical Fibonacci lattices after light diffraction," Opt. Spectrosc. 91, 109-118 (2001).
[CrossRef]

Nozaki, K.

K. Nozaki and T. Baba, "Quasiperiodic photonic crystal microcavity lasers," Appl. Phys. Lett. 84, 4875-4877 (2004).
[CrossRef]

Peng, R. W.

R. W. Peng et al, "Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers," Appl. Phys. Lett. 80, 3063-3065 (2002).
[CrossRef]

Pilozzi, L.

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

Poddubny, A. N.

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

Prineas, J. P.

J. P. Prineas et al, "Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
[CrossRef]

Sandomirskii, K. S.

S. V. Gaponenko, S. V. Zhukovsky, A. V. Lavrinenko, K. S. Sandomirskii, "Propagation of waves in layered structures viewed as number recognition," Optics Commun. 205, 49-57 (2002).
[CrossRef]

Shechtman, D.

D. Shechtman, I. Blech, D. Gratias, J. W. Cahn, "Metallic phase with long-range orientational order and no translational symmetry," Phys. Rev. Lett. 53, 1951-1953 (1984).
[CrossRef]

Steinhardt, P. J.

W. Man, M. Megens, P. J. Steinhardt, P. M. Chaikin, "Experimental measurement of the photonic properties of icosehdral quasicrystals," Nature 436, 993-996 (2005).
[CrossRef] [PubMed]

Sutherland, B.

W. Gellermann, M. Kohmoto, B. Sutherland, P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633-636 (1994).
[CrossRef] [PubMed]

Taylor, P. C.

W. Gellermann, M. Kohmoto, B. Sutherland, P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633-636 (1994).
[CrossRef] [PubMed]

Tsurumachi, N.

T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220-4223 (1994).
[CrossRef]

Vasconcelos, M. S.

M. S. Vasconcelos, P. W. Mauriz, F. F. de Medeiros, E. L. Albuquerque, "Photonic band gaps in quasiperiodic photonic crystals with negative refractive index," Phys. Rev. B 76, 165117 (2007).
[CrossRef]

M. S. Vasconcelos, E. L. Albuquerque, A. M. Mariz, "Optical localization in quasi-periodic multilayers," J. Phys. Cond. Mat. 10, 5839-5849 (1998).
[CrossRef]

M. S. Vasconcelos and E. L. Albuquerque, "Plasmon-polariton fractal spectra in quasiperiodic multilayers," Phys. Rev. B 57, 2826-2833 (1998).
[CrossRef]

Voronov, M. M.

A. N. Poddubny, L. Pilozzi, M. M. Voronov, 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, M. M. Voronov, "Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach," Phys. Rev. B 76, 075350 (2007).
[CrossRef]

Zhukovsky, S. V.

S. V. Gaponenko, S. V. Zhukovsky, A. V. Lavrinenko, K. S. Sandomirskii, "Propagation of waves in layered structures viewed as number recognition," Optics Commun. 205, 49-57 (2002).
[CrossRef]

Appl. Phys. Lett. (5)

R. W. Peng et al, "Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers," Appl. Phys. Lett. 80, 3063-3065 (2002).
[CrossRef]

L. Dal Negro et al., "Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals," Appl. Phys. Lett. 84, 5186-5188 (2004).
[CrossRef]

L. Dal Negro et al., "Spectrally enhanced light emission from aperiodic photonic structures," Appl. Phys. Lett. 86, 261905 (2005).

K. Nozaki and T. Baba, "Quasiperiodic photonic crystal microcavity lasers," Appl. Phys. Lett. 84, 4875-4877 (2004).
[CrossRef]

S.-K. Kim, J.-H. Lee, S.-H. Kim, I.-K. Hwang, Y. H. Lee, "Photonic quasicrystal single-cell cavity mode," Appl. Phys. Lett. 86, 031101 (2005).
[CrossRef]

J. Phys. Cond. Mat. (1)

M. S. Vasconcelos, E. L. Albuquerque, A. M. Mariz, "Optical localization in quasi-periodic multilayers," J. Phys. Cond. Mat. 10, 5839-5849 (1998).
[CrossRef]

J. Phys.: Condens. Matter (1)

M. A. Kaliteevski et al, "Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals," J. Phys.: Condens. Matter 13, 10459-10470 (2001).
[CrossRef]

Nat. Mater. (1)

A. Ledermann et al, "Three-dimensional silicon inverse photonic quasicrystals for infrared wavelengths," Nat. Mater. 5, 942-945 (2006).
[CrossRef] [PubMed]

Nature (2)

W. Man, M. Megens, P. J. Steinhardt, P. M. Chaikin, "Experimental measurement of the photonic properties of icosehdral quasicrystals," Nature 436, 993-996 (2005).
[CrossRef] [PubMed]

B. Freedman et al, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006).
[CrossRef] [PubMed]

Opt. Spectrosc. (1)

M. A. Kaliteevski, V. V. Nikolaev, R. A. Abram, S. Brand, "Bandgap structures of optical Fibonacci lattices after light diffraction," Opt. Spectrosc. 91, 109-118 (2001).
[CrossRef]

Optics Commun. (1)

S. V. Gaponenko, S. V. Zhukovsky, A. V. Lavrinenko, K. S. Sandomirskii, "Propagation of waves in layered structures viewed as number recognition," Optics Commun. 205, 49-57 (2002).
[CrossRef]

Phys. Reports (1)

E. L. Albuquerque and M. G. Cottam, "Theory of elementary excitations in quasiperiodic structures," Phys. Reports 376, 225-337 (2003).
[CrossRef]

Phys. Rev. B (9)

M. S. Vasconcelos, P. W. Mauriz, F. F. de Medeiros, E. L. Albuquerque, "Photonic band gaps in quasiperiodic photonic crystals with negative refractive index," Phys. Rev. B 76, 165117 (2007).
[CrossRef]

T. Hattori, N. Tsurumachi, S. Kawato, H. Nakatsuka, "Photonic dispersion relation in a one-dimensional quasicrystal," Phys. Rev. B 50, 4220-4223 (1994).
[CrossRef]

F. Laruelle and B. Etienne, "Fibonacci invariant and electronic properties of GaAs/Ga1-xAlxAs quasiperiodic superlattices," Phys. Rev. B 37, 4816-4819 (1988).
[CrossRef]

N. Liu, "Propagation of light waves in Thue-Morse dielectric multilayers," Phys. Rev. B 55, 3543-3547 (1997).
[CrossRef]

E. M. Nascimento, F. A. B. F. de Moura, M. L. Lyra, "Scaling laws for the transmission of random binary dielectric multilayered structures," Phys. Rev. B 76,115120 (2007).
[CrossRef]

M. S. Vasconcelos and E. L. Albuquerque, "Plasmon-polariton fractal spectra in quasiperiodic multilayers," Phys. Rev. B 57, 2826-2833 (1998).
[CrossRef]

J. P. Prineas et al, "Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple-quantum-well periodic structures," Phys. Rev. B 61, 13863-13872 (2000).
[CrossRef]

A. N. Poddubny, L. Pilozzi, M. M. Voronov, 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, M. M. Voronov, "Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach," Phys. Rev. B 76, 075350 (2007).
[CrossRef]

Phys. Rev. Lett. (5)

M. Hübner et al, "Optical lattices achieved by excitons in periodic quantum well structures," Phys. Rev. Lett. 83, 2841-2844 (1999).
[CrossRef]

W. Gellermann, M. Kohmoto, B. Sutherland, P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayers," Phys. Rev. Lett. 72, 633-636 (1994).
[CrossRef] [PubMed]

R. Merlin, K. Bajema, R. Clarke, F.-Y. Juang, P. K. Bhattacharya, "Quasiperiodic GaAs-AlAs heterostructures," Phys. Rev. Lett. 55, 1768-1770 (1985).
[CrossRef] [PubMed]

D. Shechtman, I. Blech, D. Gratias, J. W. Cahn, "Metallic phase with long-range orientational order and no translational symmetry," Phys. Rev. Lett. 53, 1951-1953 (1984).
[CrossRef]

L. Dal Negro et al, "Light transport through the band-edge states of Fibonacci quasicrystals," Phys. Rev. Lett. 90, 055501 (2003).
[CrossRef]

Phys. Sol. Stat. (1)

E. L. Ivchenko, A. I. Nesvizhskii, S. Jorda, "Bragg reflection of light from quantum-well structures," Phys. Sol. Stat. 36, 1156-1161 (1994).

Sov. Phys. Solid State (1)

E. L. Ivchenko, "Excitonic polaritons in periodic quantum-well structures," Sov. Phys. Solid State 33, 1344-1349 (1991).

Superlatt. Microstruct. Vol. (1)

V. P. Kochereshko et al, "Giant exciton resonance reflectance in Bragg MQW structures," Superlatt. Microstruct. Vol. 15, No. 4, 471-473 (1994).
[CrossRef]

Other (3)

E. L. Ivchenko, Optical Spectroscopy of Semiconductor Nanostructures (Alpha Science International, Harrow, U. K., 2005).

E. L. Albuquerque and M. G. Cottam, Polaritons in Periodic and Quasiperiodic Structures (Elsevier, Amsterdam, The Netherlands, 2004).

C. Janot, Quasicrystals (Clarendon Press, Oxford, 1994).

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Figures (6)

Fig. 1.
Fig. 1.

An active quasicrystal of quantum wells. A QW Fibonacci chain has two distances containing a QW: a small distance A and a large distance B. F j+1 is formed by adding F j-1 to the end of F j : BABBABABBABBA….

Fig. 2.
Fig. 2.

Comparison of the thickness dependence of the reflectivity. The spacing of the 21 QWs is either (a) a Fibonacci sequence with optical thicknesses (at Bragg) of A=0.36λ0 and B=0.59λ0 or (b) equidistant at λ0/2. A reflectivity dip is present at the Bragg resonance only in (a), indicating the larger absorption. Each curve of larger d/dBragg is shifted up by one unit of reflectivity from the preceding one.

Fig. 3.
Fig. 3.

Comparison of photoluminescence intensities. Conditions are the same as Fig. 2 with weak excitation at 1.59 eV. The PL from light holes is weak because of their rapid relaxation. The PL is strong at Bragg only in the Fibonacci case. All PL spectra have the same vertical scale, so relative comparisons are meaningful. Equal vertical shifts separate the spectra of different d/dBragg.

Fig. 4.
Fig. 4.

PL and reflectivity of QW Fibonacci chain. The optical thicknesses (at Bragg) are A=0.36λ0 and B=0.59λ0; N=54. The PL HH and LH peaks coincide with the dips in reflectivity.

Fig. 5.
Fig. 5.

Comparison between reflectivity measurements and transfer matrix computations. (a) Measured reflectivity for an uncoated GaAs/AlGaAs QW half a wavelength beneath the GaAs/vacuum interface (sample FIB10). (b) Corresponding computed reflectivity with the QW susceptibility approximated by Lorentzians with the following parameters: for the heavy hole, nonradiative half width ΓHH=180 µeV and radiative width Γ0HH=25 µeV; for the light hole, ΓLH=115 µeV and Γ0LH=10 µeV. (c) Measured reflectivity for a 54 QW Fibonacci chain versus layer thickness. (d) Corresponding computed reflectivity using the same parameters as in (a). In (c) and (d) each curve of larger d/dBragg is shifted up by one unit of reflectivity from the preceding one. The vertical scales and d/dBragg values are the same for the data and computations.

Fig. 6.
Fig. 6.

Calculated distribution of the squared electric field in the periodic (a) and Fibonacci (b) QW structures with 21 wells with a plane wave incident from the left (at the HH exciton resonance frequency and for the Bragg condition). The thin blue lines indicate the QW positions while the green line separates the vacuum region from the sample. Values of |E 0|2 for z>0 were multiplied by the background refractive index n barrier=3.59 for a better presentation. The incident, reflected, and transmitted waves are shown by horizontal lines I I, I R, and I T.

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