Abstract

We report on the creation of new lasing modes with spatially nonuniform profiles of optical gain in a one-dimensional random structure. It is demonstrated numerically that even without gain saturation and mode competition, the spatial nonuniformity of gain can cause dramatic and complicated changes. New lasing modes appear with frequencies between those of the lasing modes with uniform gain. We examine new modes in detail and find that they exhibit high output directionality. Our results show that random lasing properties may be modified significantly without changing the underlying structure.

© 2009 Optical Society of America

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    [CrossRef]
  2. C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, Science 280, 1556 (1998).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2009 (2)

2008 (2)

H. E. Türeci, L. Ge, S. Rotter, and A. D. Stone, Science 320, 643 (2008).
[CrossRef] [PubMed]

S. Gottardo, R. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

2007 (2)

T. Savels, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 98, 103601 (2007).
[CrossRef] [PubMed]

X. Wu, J. Andreasen, H. Cao, and A. Yamilov, J. Opt. Soc. Am. B 24, A26 (2007).
[CrossRef]

2006 (1)

X. Wu, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

2005 (4)

L. Deych, Phys. Rev. Lett. 95, 043902 (2005).
[CrossRef] [PubMed]

R. C. Polson and Z. V. Vardeny, Phys. Rev. B 71, 045205 (2005).
[CrossRef]

C. Vanneste and P. Sebbah, Phys. Rev. E 71, 026612 (2005).
[CrossRef]

A. Yamilov, X. Wu, H. Cao, and A. L. Burin, Opt. Lett. 30, 2430 (2005).
[CrossRef] [PubMed]

2004 (3)

2003 (1)

G. D. Chern, H. E. Türeci, A. D. Stone, R. K. Chang, M. Kneissl, and N. M. Johnson, Appl. Phys. Lett. 83, 1710 (2003).
[CrossRef]

2002 (3)

K. Lee and N. M. Lawandy, Opt. Commun. 203, 169 (2002).
[CrossRef]

P. Sebbah and C. Vanneste, Phys. Rev. B 66, 144202 (2002).
[CrossRef]

T. Fukushima, T. Harayama, P. Davis, P. O. Vaccaro, T. Nishimura, and T. Aida, Opt. Lett. 27, 1430 (2002).
[CrossRef]

2001 (2)

C. Vanneste and P. Sebbah, Phys. Rev. Lett. 87, 183903 (2001).
[CrossRef]

D. S. Wiersma and S. Cavalieri, Nature 414, 708 (2001).
[CrossRef] [PubMed]

1998 (1)

C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, Science 280, 1556 (1998).
[CrossRef] [PubMed]

1995 (1)

R. W. Ziolkowski, J. M. Arnold, and D. M. Gogny, Phys. Rev. A 52, 3082 (1995).
[CrossRef] [PubMed]

1992 (1)

R. J. Horowicz, H. Heitmann, Y. Kadota, and Y. Yamamoto, Appl. Phys. Lett. 61, 393 (1992).
[CrossRef]

Aida, T.

Andreasen, J.

Arnold, J. M.

R. W. Ziolkowski, J. M. Arnold, and D. M. Gogny, Phys. Rev. A 52, 3082 (1995).
[CrossRef] [PubMed]

Asatryan, A. A.

X. Wu, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

Blanco, A.

S. Gottardo, R. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

Botten, L. C.

X. Wu, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

Burin, A. L.

Cao, H.

Capasso, F.

C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, Science 280, 1556 (1998).
[CrossRef] [PubMed]

Cavalieri, S.

S. Gottardo, S. Cavalieri, O. Yaroshchuk, and D. S. Wiersma, Phys. Rev. Lett. 93, 263901 (2004).
[CrossRef]

D. S. Wiersma and S. Cavalieri, Nature 414, 708 (2001).
[CrossRef] [PubMed]

Chabanov, A. A.

X. Wu, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

Chang, R. K.

G. D. Chern, H. E. Türeci, A. D. Stone, R. K. Chang, M. Kneissl, and N. M. Johnson, Appl. Phys. Lett. 83, 1710 (2003).
[CrossRef]

Chang, R. P. H.

Chern, G. D.

G. D. Chern, H. E. Türeci, A. D. Stone, R. K. Chang, M. Kneissl, and N. M. Johnson, Appl. Phys. Lett. 83, 1710 (2003).
[CrossRef]

Cho, A. Y.

C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, Science 280, 1556 (1998).
[CrossRef] [PubMed]

Davis, P.

Deych, L.

L. Deych, Phys. Rev. Lett. 95, 043902 (2005).
[CrossRef] [PubMed]

Economou, E. N.

Faist, J.

C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, Science 280, 1556 (1998).
[CrossRef] [PubMed]

Fujiwara, H.

Fukushima, T.

García, P. D.

S. Gottardo, R. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

Ge, L.

H. E. Türeci, L. Ge, S. Rotter, and A. D. Stone, Science 320, 643 (2008).
[CrossRef] [PubMed]

Gmachl, C.

C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, Science 280, 1556 (1998).
[CrossRef] [PubMed]

Gogny, D. M.

R. W. Ziolkowski, J. M. Arnold, and D. M. Gogny, Phys. Rev. A 52, 3082 (1995).
[CrossRef] [PubMed]

Gottardo, S.

S. Gottardo, R. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

S. Gottardo, S. Cavalieri, O. Yaroshchuk, and D. S. Wiersma, Phys. Rev. Lett. 93, 263901 (2004).
[CrossRef]

Hagness, S.

A. Taflove and S. Hagness, Computational Electrodynamics (Artech House, 2005).

Hamabata, Y.

Harayama, T.

Heitmann, H.

R. J. Horowicz, H. Heitmann, Y. Kadota, and Y. Yamamoto, Appl. Phys. Lett. 61, 393 (1992).
[CrossRef]

Hentschel, M.

Horowicz, R. J.

R. J. Horowicz, H. Heitmann, Y. Kadota, and Y. Yamamoto, Appl. Phys. Lett. 61, 393 (1992).
[CrossRef]

Johnson, N. M.

G. D. Chern, H. E. Türeci, A. D. Stone, R. K. Chang, M. Kneissl, and N. M. Johnson, Appl. Phys. Lett. 83, 1710 (2003).
[CrossRef]

Kadota, Y.

R. J. Horowicz, H. Heitmann, Y. Kadota, and Y. Yamamoto, Appl. Phys. Lett. 61, 393 (1992).
[CrossRef]

Kneissl, M.

G. D. Chern, H. E. Türeci, A. D. Stone, R. K. Chang, M. Kneissl, and N. M. Johnson, Appl. Phys. Lett. 83, 1710 (2003).
[CrossRef]

Kwon, T. Y.

Lagendijk, A.

T. Savels, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 98, 103601 (2007).
[CrossRef] [PubMed]

Lawandy, N. M.

K. Lee and N. M. Lawandy, Opt. Commun. 203, 169 (2002).
[CrossRef]

Lee, K.

K. Lee and N. M. Lawandy, Opt. Commun. 203, 169 (2002).
[CrossRef]

López, C.

S. Gottardo, R. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

Mosk, A. P.

T. Savels, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 98, 103601 (2007).
[CrossRef] [PubMed]

Narimanov, E. E.

C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, Science 280, 1556 (1998).
[CrossRef] [PubMed]

Nishimura, T.

Nöckel, J. U.

C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, Science 280, 1556 (1998).
[CrossRef] [PubMed]

Noh, H.

Polson, R. C.

R. C. Polson and Z. V. Vardeny, Phys. Rev. B 71, 045205 (2005).
[CrossRef]

Ripoll, J.

Rotter, S.

H. E. Türeci, L. Ge, S. Rotter, and A. D. Stone, Science 320, 643 (2008).
[CrossRef] [PubMed]

Sapienza, R.

S. Gottardo, R. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

Sasaki, K.

Savels, T.

T. Savels, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 98, 103601 (2007).
[CrossRef] [PubMed]

Sebbah, P.

C. Vanneste and P. Sebbah, Phys. Rev. E 71, 026612 (2005).
[CrossRef]

P. Sebbah and C. Vanneste, Phys. Rev. B 66, 144202 (2002).
[CrossRef]

C. Vanneste and P. Sebbah, Phys. Rev. Lett. 87, 183903 (2001).
[CrossRef]

Seelig, E. W.

Sivco, D. L.

C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, Science 280, 1556 (1998).
[CrossRef] [PubMed]

Soukoulis, C. M.

Stone, A. D.

H. E. Türeci, L. Ge, S. Rotter, and A. D. Stone, Science 320, 643 (2008).
[CrossRef] [PubMed]

G. D. Chern, H. E. Türeci, A. D. Stone, R. K. Chang, M. Kneissl, and N. M. Johnson, Appl. Phys. Lett. 83, 1710 (2003).
[CrossRef]

C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, Science 280, 1556 (1998).
[CrossRef] [PubMed]

Taflove, A.

A. Taflove and S. Hagness, Computational Electrodynamics (Artech House, 2005).

Türeci, H. E.

H. E. Türeci, L. Ge, S. Rotter, and A. D. Stone, Science 320, 643 (2008).
[CrossRef] [PubMed]

G. D. Chern, H. E. Türeci, A. D. Stone, R. K. Chang, M. Kneissl, and N. M. Johnson, Appl. Phys. Lett. 83, 1710 (2003).
[CrossRef]

Vaccaro, P. O.

Vanneste, C.

C. Vanneste and P. Sebbah, Phys. Rev. E 71, 026612 (2005).
[CrossRef]

P. Sebbah and C. Vanneste, Phys. Rev. B 66, 144202 (2002).
[CrossRef]

C. Vanneste and P. Sebbah, Phys. Rev. Lett. 87, 183903 (2001).
[CrossRef]

Vardeny, Z. V.

R. C. Polson and Z. V. Vardeny, Phys. Rev. B 71, 045205 (2005).
[CrossRef]

Wiersma, D. S.

S. Gottardo, R. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

S. Gottardo, S. Cavalieri, O. Yaroshchuk, and D. S. Wiersma, Phys. Rev. Lett. 93, 263901 (2004).
[CrossRef]

D. S. Wiersma and S. Cavalieri, Nature 414, 708 (2001).
[CrossRef] [PubMed]

Wu, X.

Wu, X. H.

Yamamoto, Y.

R. J. Horowicz, H. Heitmann, Y. Kadota, and Y. Yamamoto, Appl. Phys. Lett. 61, 393 (1992).
[CrossRef]

Yamilov, A.

Yaroshchuk, O.

S. Gottardo, S. Cavalieri, O. Yaroshchuk, and D. S. Wiersma, Phys. Rev. Lett. 93, 263901 (2004).
[CrossRef]

Ziolkowski, R. W.

R. W. Ziolkowski, J. M. Arnold, and D. M. Gogny, Phys. Rev. A 52, 3082 (1995).
[CrossRef] [PubMed]

Appl. Phys. Lett. (2)

R. J. Horowicz, H. Heitmann, Y. Kadota, and Y. Yamamoto, Appl. Phys. Lett. 61, 393 (1992).
[CrossRef]

G. D. Chern, H. E. Türeci, A. D. Stone, R. K. Chang, M. Kneissl, and N. M. Johnson, Appl. Phys. Lett. 83, 1710 (2003).
[CrossRef]

J. Opt. Soc. Am. B (3)

Nat. Photonics (1)

S. Gottardo, R. Sapienza, P. D. García, A. Blanco, D. S. Wiersma, and C. López, Nat. Photonics 2, 429 (2008).
[CrossRef]

Nature (1)

D. S. Wiersma and S. Cavalieri, Nature 414, 708 (2001).
[CrossRef] [PubMed]

Opt. Commun. (1)

K. Lee and N. M. Lawandy, Opt. Commun. 203, 169 (2002).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Phys. Rev. A (2)

X. Wu, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, Phys. Rev. A 74, 053812 (2006).
[CrossRef]

R. W. Ziolkowski, J. M. Arnold, and D. M. Gogny, Phys. Rev. A 52, 3082 (1995).
[CrossRef] [PubMed]

Phys. Rev. B (2)

R. C. Polson and Z. V. Vardeny, Phys. Rev. B 71, 045205 (2005).
[CrossRef]

P. Sebbah and C. Vanneste, Phys. Rev. B 66, 144202 (2002).
[CrossRef]

Phys. Rev. E (1)

C. Vanneste and P. Sebbah, Phys. Rev. E 71, 026612 (2005).
[CrossRef]

Phys. Rev. Lett. (4)

L. Deych, Phys. Rev. Lett. 95, 043902 (2005).
[CrossRef] [PubMed]

S. Gottardo, S. Cavalieri, O. Yaroshchuk, and D. S. Wiersma, Phys. Rev. Lett. 93, 263901 (2004).
[CrossRef]

C. Vanneste and P. Sebbah, Phys. Rev. Lett. 87, 183903 (2001).
[CrossRef]

T. Savels, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 98, 103601 (2007).
[CrossRef] [PubMed]

Science (2)

C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, Science 280, 1556 (1998).
[CrossRef] [PubMed]

H. E. Türeci, L. Ge, S. Rotter, and A. D. Stone, Science 320, 643 (2008).
[CrossRef] [PubMed]

Other (1)

A. Taflove and S. Hagness, Computational Electrodynamics (Artech House, 2005).

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Figures (3)

Fig. 1
Fig. 1

Left, real (green) and imaginary (red) zero lines of M 22 in the ( k , n i ) plane. Right, phase θ of M 22 in the ( k , n i ) plane. The ranges of axes are 10.48 μ m 1 < k < 10.64 μ m 1 and 0.0326 < n i < 0.0130 . The gain region length l G is, from top to bottom; (a) and (b) 14.961 μ m , (c) and (d) 14.559 μ m , (f) and (g) 14.523 μ m , (h) and (i) 14.472 μ m , (j) and (k) 14.295 μ m .

Fig. 2
Fig. 2

Steady-state output intensity versus pumping rate P r from MB simulations with different gain spectra. The atomic transition wavelength λ a = λ 1 (red crosses), λ a = λ 2 (blue open diamonds), and λ a = λ n m (black circles).

Fig. 3
Fig. 3

Steady-state emission spectra from two MB simulations with P r = 3.0 , λ a = λ n m (solid curve) and P r = 2.1 , λ a = λ 2 (dashed curve). For both, Δ λ a = 0.71 nm , l G = 14.295 μ m . The MB intensity distribution | ψ MB ( x ) | 2 (black dashed curve) is compared with the TM intensity distribution | ψ TM ( x ) | 2 (red solid curve) for the new lasing mode (b) and mode 2 (c). Agreement is so good that the MB curve mostly covers the TM curve. The inset in (b) expands the range 0 μ m < x < 10 μ m .

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