Abstract

This Letter investigates exciton photoluminescence (PL) in resonant quasi-periodic Thue–Morse quantum wells (QWs). The results show that the PL properties of quasi-periodic Thue–Morse QWs are quite different from those of resonant Fibonacci QWs. The maximum and minimum PL intensities occur under the anti-Bragg and Bragg conditions, respectively. The maxima of the PL intensity gradually decline when the filling factor increases from 0.25 to 0.5. Accordingly, the squared electric field at the QWs decreases as the Thue–Morse QW deviates from the anti-Bragg condition.

© 2014 Optical Society of America

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  1. D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Phys. Rev. Lett. 53, 1951 (1984).
    [CrossRef]
  2. W. J. Hsueh, C. T. Chen, and C. H. Chen, Phys. Rev. A 78, 013836 (2008).
    [CrossRef]
  3. G. Gumbs, G. S. Dubey, A. Salman, B. S. Mahmoud, and D. Huang, Phys. Rev. B 52, 210 (1995).
    [CrossRef]
  4. L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, Appl. Phys. Lett. 86, 261905 (2005).
    [CrossRef]
  5. W. J. Hsueh, C. H. Chang, Y. H. Cheng, and S. J. Wun, Opt. Express 20, 26618 (2012).
    [CrossRef]
  6. M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, Nature 404, 740 (2000).
    [CrossRef]
  7. M. C. Rechtsman, H.-C. Jeong, P. M. Chaikin, S. Torquato, and P. J. Steinhardt, Phys. Rev. Lett. 101, 073902 (2008).
    [CrossRef]
  8. Y. H. Cheng and W. J. Hsueh, Opt. Lett. 38, 3631 (2013).
    [CrossRef]
  9. M. Werchner, M. Schafer, M. Kira, S. W. Koch, J. Sweet, J. D. Olitzky, J. Hendrickson, B. C. Richards, G. Khitrova, H. M. Gibbs, A. N. Poddubny, E. L. Ivchenko, M. Voronov, and M. Wegener, Opt. Express 17, 6813 (2009).
    [CrossRef]
  10. A. N. Poddubny, L. Pilozzi, M. M. Voronov, and E. L. Ivchenko, Phys. Rev. B 80, 115314 (2009).
    [CrossRef]
  11. J. P. Prineas, W. J. Johnston, M. Yildirim, J. Zhao, and A. L. Smirl, Appl. Phys. Lett. 89, 241106 (2006).
    [CrossRef]
  12. T. Ikawa and K. Cho, Phys. Rev. B 66, 085338 (2002).
    [CrossRef]
  13. M. Hübner, J. P. Prineas, C. Ell, P. Brick, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. Lett. 83, 2841 (1999).
    [CrossRef]
  14. S. M. Sadeghi, W. Li, X. Li, and W.-P. Huang, Phys. Rev. B 74, 161304(R) (2006).
    [CrossRef]
  15. Z. S. Yang, N. H. Kwong, R. Binder, and A. L. Smirl, Opt. Lett. 30, 2790 (2005).
    [CrossRef]
  16. Y. Merle d’Aubigne, A. Wasiela, H. Mariette, and T. Dietl, Phys. Rev. B 54, 14003 (1996).
    [CrossRef]
  17. J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. B 61, 13863 (2000).
    [CrossRef]
  18. J. Hendrickson, B. C. Richards, J. Sweet, G. Khitrova, A. N. Poddubny, E. L. Ivchenko, M. Wegener, and H. M. Gibbs, Opt. Express 16, 15382 (2008).
    [CrossRef]
  19. C. H. Chang, C. H. Chen, and W. J. Hsueh, Opt. Express 21, 14656 (2013).
    [CrossRef]
  20. V. Passias, N. V. Valappil, Z. Shi, L. Deych, A. A. Lisyansky, and V. M. Menon, Opt. Express 17, 6636 (2009).
    [CrossRef]
  21. E. L. Albuquerque and M. G. Cottam, Phys. Rep. 376, 225 (2003).
    [CrossRef]
  22. L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, Phys. Rev. B 76, 075350 (2007).
    [CrossRef]
  23. G. Malpuech, A. Kavokin, and G. Panzarini, Phys. Rev. B 60, 16788 (1999).
    [CrossRef]

2013 (2)

2012 (1)

2009 (3)

2008 (3)

W. J. Hsueh, C. T. Chen, and C. H. Chen, Phys. Rev. A 78, 013836 (2008).
[CrossRef]

M. C. Rechtsman, H.-C. Jeong, P. M. Chaikin, S. Torquato, and P. J. Steinhardt, Phys. Rev. Lett. 101, 073902 (2008).
[CrossRef]

J. Hendrickson, B. C. Richards, J. Sweet, G. Khitrova, A. N. Poddubny, E. L. Ivchenko, M. Wegener, and H. M. Gibbs, Opt. Express 16, 15382 (2008).
[CrossRef]

2007 (1)

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, Phys. Rev. B 76, 075350 (2007).
[CrossRef]

2006 (2)

S. M. Sadeghi, W. Li, X. Li, and W.-P. Huang, Phys. Rev. B 74, 161304(R) (2006).
[CrossRef]

J. P. Prineas, W. J. Johnston, M. Yildirim, J. Zhao, and A. L. Smirl, Appl. Phys. Lett. 89, 241106 (2006).
[CrossRef]

2005 (2)

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

Z. S. Yang, N. H. Kwong, R. Binder, and A. L. Smirl, Opt. Lett. 30, 2790 (2005).
[CrossRef]

2003 (1)

E. L. Albuquerque and M. G. Cottam, Phys. Rep. 376, 225 (2003).
[CrossRef]

2002 (1)

T. Ikawa and K. Cho, Phys. Rev. B 66, 085338 (2002).
[CrossRef]

2000 (2)

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. B 61, 13863 (2000).
[CrossRef]

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, Nature 404, 740 (2000).
[CrossRef]

1999 (2)

M. Hübner, J. P. Prineas, C. Ell, P. Brick, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. Lett. 83, 2841 (1999).
[CrossRef]

G. Malpuech, A. Kavokin, and G. Panzarini, Phys. Rev. B 60, 16788 (1999).
[CrossRef]

1996 (1)

Y. Merle d’Aubigne, A. Wasiela, H. Mariette, and T. Dietl, Phys. Rev. B 54, 14003 (1996).
[CrossRef]

1995 (1)

G. Gumbs, G. S. Dubey, A. Salman, B. S. Mahmoud, and D. Huang, Phys. Rev. B 52, 210 (1995).
[CrossRef]

1984 (1)

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Phys. Rev. Lett. 53, 1951 (1984).
[CrossRef]

Albuquerque, E. L.

E. L. Albuquerque and M. G. Cottam, Phys. Rep. 376, 225 (2003).
[CrossRef]

Baumberg, J. J.

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, Nature 404, 740 (2000).
[CrossRef]

Binder, R.

Blech, I.

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Phys. Rev. Lett. 53, 1951 (1984).
[CrossRef]

Brick, P.

M. Hübner, J. P. Prineas, C. Ell, P. Brick, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. Lett. 83, 2841 (1999).
[CrossRef]

Cahn, J. W.

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Phys. Rev. Lett. 53, 1951 (1984).
[CrossRef]

Chaikin, P. M.

M. C. Rechtsman, H.-C. Jeong, P. M. Chaikin, S. Torquato, and P. J. Steinhardt, Phys. Rev. Lett. 101, 073902 (2008).
[CrossRef]

Chang, C. H.

Charlton, M. D. B.

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, Nature 404, 740 (2000).
[CrossRef]

Chen, C. H.

C. H. Chang, C. H. Chen, and W. J. Hsueh, Opt. Express 21, 14656 (2013).
[CrossRef]

W. J. Hsueh, C. T. Chen, and C. H. Chen, Phys. Rev. A 78, 013836 (2008).
[CrossRef]

Chen, C. T.

W. J. Hsueh, C. T. Chen, and C. H. Chen, Phys. Rev. A 78, 013836 (2008).
[CrossRef]

Cheng, Y. H.

Cho, K.

T. Ikawa and K. Cho, Phys. Rev. B 66, 085338 (2002).
[CrossRef]

Cottam, M. G.

E. L. Albuquerque and M. G. Cottam, Phys. Rep. 376, 225 (2003).
[CrossRef]

Dal Negro, L.

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

Deych, L.

Deych, L. I.

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, Phys. Rev. B 76, 075350 (2007).
[CrossRef]

Dietl, T.

Y. Merle d’Aubigne, A. Wasiela, H. Mariette, and T. Dietl, Phys. Rev. B 54, 14003 (1996).
[CrossRef]

Dubey, G. S.

G. Gumbs, G. S. Dubey, A. Salman, B. S. Mahmoud, and D. Huang, Phys. Rev. B 52, 210 (1995).
[CrossRef]

Ell, C.

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. B 61, 13863 (2000).
[CrossRef]

M. Hübner, J. P. Prineas, C. Ell, P. Brick, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. Lett. 83, 2841 (1999).
[CrossRef]

Erementchouk, M. V.

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, Phys. Rev. B 76, 075350 (2007).
[CrossRef]

Gibbs, H. M.

Gratias, D.

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Phys. Rev. Lett. 53, 1951 (1984).
[CrossRef]

Gumbs, G.

G. Gumbs, G. S. Dubey, A. Salman, B. S. Mahmoud, and D. Huang, Phys. Rev. B 52, 210 (1995).
[CrossRef]

Hendrickson, J.

Hsueh, W. J.

Huang, D.

G. Gumbs, G. S. Dubey, A. Salman, B. S. Mahmoud, and D. Huang, Phys. Rev. B 52, 210 (1995).
[CrossRef]

Huang, W.-P.

S. M. Sadeghi, W. Li, X. Li, and W.-P. Huang, Phys. Rev. B 74, 161304(R) (2006).
[CrossRef]

Hübner, M.

M. Hübner, J. P. Prineas, C. Ell, P. Brick, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. Lett. 83, 2841 (1999).
[CrossRef]

Ikawa, T.

T. Ikawa and K. Cho, Phys. Rev. B 66, 085338 (2002).
[CrossRef]

Ivchenko, E. L.

Jeong, H.-C.

M. C. Rechtsman, H.-C. Jeong, P. M. Chaikin, S. Torquato, and P. J. Steinhardt, Phys. Rev. Lett. 101, 073902 (2008).
[CrossRef]

Johnston, W. J.

J. P. Prineas, W. J. Johnston, M. Yildirim, J. Zhao, and A. L. Smirl, Appl. Phys. Lett. 89, 241106 (2006).
[CrossRef]

Kavokin, A.

G. Malpuech, A. Kavokin, and G. Panzarini, Phys. Rev. B 60, 16788 (1999).
[CrossRef]

Khitrova, G.

Kimerling, L. C.

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

Kira, M.

Koch, S. W.

M. Werchner, M. Schafer, M. Kira, S. W. Koch, J. Sweet, J. D. Olitzky, J. Hendrickson, B. C. Richards, G. Khitrova, H. M. Gibbs, A. N. Poddubny, E. L. Ivchenko, M. Voronov, and M. Wegener, Opt. Express 17, 6813 (2009).
[CrossRef]

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. B 61, 13863 (2000).
[CrossRef]

M. Hübner, J. P. Prineas, C. Ell, P. Brick, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. Lett. 83, 2841 (1999).
[CrossRef]

Kwong, N. H.

Lee, E. S.

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. B 61, 13863 (2000).
[CrossRef]

M. Hübner, J. P. Prineas, C. Ell, P. Brick, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. Lett. 83, 2841 (1999).
[CrossRef]

Li, W.

S. M. Sadeghi, W. Li, X. Li, and W.-P. Huang, Phys. Rev. B 74, 161304(R) (2006).
[CrossRef]

Li, X.

S. M. Sadeghi, W. Li, X. Li, and W.-P. Huang, Phys. Rev. B 74, 161304(R) (2006).
[CrossRef]

Lisyansky, A. A.

V. Passias, N. V. Valappil, Z. Shi, L. Deych, A. A. Lisyansky, and V. M. Menon, Opt. Express 17, 6636 (2009).
[CrossRef]

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, Phys. Rev. B 76, 075350 (2007).
[CrossRef]

Mahmoud, B. S.

G. Gumbs, G. S. Dubey, A. Salman, B. S. Mahmoud, and D. Huang, Phys. Rev. B 52, 210 (1995).
[CrossRef]

Malpuech, G.

G. Malpuech, A. Kavokin, and G. Panzarini, Phys. Rev. B 60, 16788 (1999).
[CrossRef]

Mariette, H.

Y. Merle d’Aubigne, A. Wasiela, H. Mariette, and T. Dietl, Phys. Rev. B 54, 14003 (1996).
[CrossRef]

Menon, V. M.

Merle d’Aubigne, Y.

Y. Merle d’Aubigne, A. Wasiela, H. Mariette, and T. Dietl, Phys. Rev. B 54, 14003 (1996).
[CrossRef]

Michel, J.

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

Netti, M. C.

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, Nature 404, 740 (2000).
[CrossRef]

Nguyen, V.

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

Olitzky, J. D.

Panzarini, G.

G. Malpuech, A. Kavokin, and G. Panzarini, Phys. Rev. B 60, 16788 (1999).
[CrossRef]

Parker, G. J.

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, Nature 404, 740 (2000).
[CrossRef]

Passias, V.

Pilozzi, L.

A. N. Poddubny, L. Pilozzi, M. M. Voronov, and E. L. Ivchenko, Phys. Rev. B 80, 115314 (2009).
[CrossRef]

Poddubny, A. N.

Prineas, J. P.

J. P. Prineas, W. J. Johnston, M. Yildirim, J. Zhao, and A. L. Smirl, Appl. Phys. Lett. 89, 241106 (2006).
[CrossRef]

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. B 61, 13863 (2000).
[CrossRef]

M. Hübner, J. P. Prineas, C. Ell, P. Brick, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. Lett. 83, 2841 (1999).
[CrossRef]

Rechtsman, M. C.

M. C. Rechtsman, H.-C. Jeong, P. M. Chaikin, S. Torquato, and P. J. Steinhardt, Phys. Rev. Lett. 101, 073902 (2008).
[CrossRef]

Richards, B. C.

Sadeghi, S. M.

S. M. Sadeghi, W. Li, X. Li, and W.-P. Huang, Phys. Rev. B 74, 161304(R) (2006).
[CrossRef]

Salman, A.

G. Gumbs, G. S. Dubey, A. Salman, B. S. Mahmoud, and D. Huang, Phys. Rev. B 52, 210 (1995).
[CrossRef]

Schafer, M.

Shechtman, D.

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Phys. Rev. Lett. 53, 1951 (1984).
[CrossRef]

Shi, Z.

Smirl, A. L.

J. P. Prineas, W. J. Johnston, M. Yildirim, J. Zhao, and A. L. Smirl, Appl. Phys. Lett. 89, 241106 (2006).
[CrossRef]

Z. S. Yang, N. H. Kwong, R. Binder, and A. L. Smirl, Opt. Lett. 30, 2790 (2005).
[CrossRef]

Steinhardt, P. J.

M. C. Rechtsman, H.-C. Jeong, P. M. Chaikin, S. Torquato, and P. J. Steinhardt, Phys. Rev. Lett. 101, 073902 (2008).
[CrossRef]

Sweet, J.

Torquato, S.

M. C. Rechtsman, H.-C. Jeong, P. M. Chaikin, S. Torquato, and P. J. Steinhardt, Phys. Rev. Lett. 101, 073902 (2008).
[CrossRef]

Valappil, N. V.

Voronov, M.

Voronov, M. M.

A. N. Poddubny, L. Pilozzi, M. M. Voronov, and E. L. Ivchenko, Phys. Rev. B 80, 115314 (2009).
[CrossRef]

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, Phys. Rev. B 76, 075350 (2007).
[CrossRef]

Wasiela, A.

Y. Merle d’Aubigne, A. Wasiela, H. Mariette, and T. Dietl, Phys. Rev. B 54, 14003 (1996).
[CrossRef]

Wegener, M.

Werchner, M.

Wun, S. J.

Yang, Z. S.

Yi, J. H.

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, 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, Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

Yildirim, M.

J. P. Prineas, W. J. Johnston, M. Yildirim, J. Zhao, and A. L. Smirl, Appl. Phys. Lett. 89, 241106 (2006).
[CrossRef]

Zhao, J.

J. P. Prineas, W. J. Johnston, M. Yildirim, J. Zhao, and A. L. Smirl, Appl. Phys. Lett. 89, 241106 (2006).
[CrossRef]

Zoorob, M. E.

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, Nature 404, 740 (2000).
[CrossRef]

Appl. Phys. Lett. (2)

L. Dal Negro, J. H. Yi, V. Nguyen, Y. Yi, J. Michel, and L. C. Kimerling, Appl. Phys. Lett. 86, 261905 (2005).
[CrossRef]

J. P. Prineas, W. J. Johnston, M. Yildirim, J. Zhao, and A. L. Smirl, Appl. Phys. Lett. 89, 241106 (2006).
[CrossRef]

Nature (1)

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, Nature 404, 740 (2000).
[CrossRef]

Opt. Express (5)

Opt. Lett. (2)

Phys. Rep. (1)

E. L. Albuquerque and M. G. Cottam, Phys. Rep. 376, 225 (2003).
[CrossRef]

Phys. Rev. A (1)

W. J. Hsueh, C. T. Chen, and C. H. Chen, Phys. Rev. A 78, 013836 (2008).
[CrossRef]

Phys. Rev. B (8)

G. Gumbs, G. S. Dubey, A. Salman, B. S. Mahmoud, and D. Huang, Phys. Rev. B 52, 210 (1995).
[CrossRef]

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, E. L. Ivchenko, and M. M. Voronov, Phys. Rev. B 76, 075350 (2007).
[CrossRef]

G. Malpuech, A. Kavokin, and G. Panzarini, Phys. Rev. B 60, 16788 (1999).
[CrossRef]

A. N. Poddubny, L. Pilozzi, M. M. Voronov, and E. L. Ivchenko, Phys. Rev. B 80, 115314 (2009).
[CrossRef]

T. Ikawa and K. Cho, Phys. Rev. B 66, 085338 (2002).
[CrossRef]

Y. Merle d’Aubigne, A. Wasiela, H. Mariette, and T. Dietl, Phys. Rev. B 54, 14003 (1996).
[CrossRef]

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. B 61, 13863 (2000).
[CrossRef]

S. M. Sadeghi, W. Li, X. Li, and W.-P. Huang, Phys. Rev. B 74, 161304(R) (2006).
[CrossRef]

Phys. Rev. Lett. (3)

M. Hübner, J. P. Prineas, C. Ell, P. Brick, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, Phys. Rev. Lett. 83, 2841 (1999).
[CrossRef]

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Phys. Rev. Lett. 53, 1951 (1984).
[CrossRef]

M. C. Rechtsman, H.-C. Jeong, P. M. Chaikin, S. Torquato, and P. J. Steinhardt, Phys. Rev. Lett. 101, 073902 (2008).
[CrossRef]

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Figures (4)

Fig. 1.
Fig. 1.

(a) Transmission, (b) reflection, and (c) PL spectra in TMQWs with v = 6 , 7, and 8 for the same spacing thicknesses. The parameter values of the system are ω 0 = 1.523 eV , Γ 0 = 25 μeV , Γ = 180 μeV , and n b = 3.59 . The normalized frequency, Ω , is defined as Ω = ( ω ω 0 ) D / ( 2 π c ) , where D = d A + d B = λ ( ω 0 ) .

Fig. 2.
Fig. 2.

(a) Transmission, (b) reflection, and (c) PL spectra in a TMQW with v = 8 for different filling factors. The number of QWs in the TMQW is N = 128 . The other parameter values are the same as those in the caption of Fig. 1.

Fig. 3.
Fig. 3.

PL max , defined by the maximum values of the PL intensity, in the TMQWs versus the filling factor, F . The numerical calculations are performed for TMQWs with v = 4 to 8, which corresponds to the numbers of QWs, N = 8 to 128. The A and B signs denote the positions of the anti-Bragg and Bragg conditions, respectively.

Fig. 4.
Fig. 4.

Squared electric fields in a TMQW with v = 6 at (a)  F = 0.25 and (b)  F = 0.412 and in a FQW with a generation order of 8 at (c)  F = 0.25 and (d)  F = 0.412 . The number of QWs in the TMQW is N = 32 . The corresponding number of QWs in the FQW is N = 34 . The numerical simulations are made at ω ( PL max ) . The horizontal lines, I I , I R , and I T , denote the incident, reflected, and transmitted waves, respectively. The vacuum region (the white area) is divided from the structure (the yellow area) by the black line. The blue lines represent the QW locations. The squared electric fields are given by | E [ ω ( PL max ) ] | 2 for z > 0 , multiplied by the background refractive index for clarity. The red circles denote the field values at the vacuum interface and the QWs.

Equations (4)

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× × E = ( ω c ) 2 D ,
I PL ( ω , k ) = 4 j = 1 N Ξ ( j ) | κ S ( j ) ( ω , k ) φ 1 ( j ) | 2 | I ( j ) ( ω , k ) | 2 ,
I PL ( ω ) = 4 Ξ | q S ( ω ) / φ 1 | 2 j = 1 N | I ( j ) ( ω ) | 2 ,
I ( j ) ( ω ) = t | M R m = N j + 1 M m ( s j 1 s j 2 ) ,

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