Abstract

Localized modes in one-dimensional (1D) media with uniaxial scatterers that are assumed to be order in spatial location but disorder in spatial orientation of their optical axis are investigated. Based on the holistic effect model in random laser, i.e., the random laser is due to the interaction of the complex localized modes in active random media with local aperiodic quasi-structure with appropriate pump light, a physical model on this type of random media is found. Its disorder degree is defined by <i>D</i>=<i>n<sub>o</sub></i>/<i>n<sub>e</sub></i>. Then, the typical transmission spectrum through the random media and the light field intensity distribution corresponding to the defect modes in photonic band-gap are calculated numerically by means of the transfer matrix method, and the condition that the localized mode appears is discussed. Results show that the medium disorder plays an important role in determining the lightwave state. The localized state appears when the medium disorder is strong enough, and a new mechanism creating random laser phenomenon is brought forward.

© 2008 Chinese Optics Letters

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. V. S. Letokhov, Sov. Phys. JETP 26, 835 (1968).
  2. N. M. Lawandy, R. M. Salachandran, A. S. L. Gomes, and E. Sauvain, Nature 368, 436 (1994).
  3. D. S. Wiersma and A. Lagendijk, Phys. Rev. E 54, 4256 (1996).
  4. H. Cao, Y. G. Zhao, H. C. Ong, S. T. Ho, J. Y. Dai, J. Y. Wu, and R. P. H. Chang, Appl. Phys. Lett. 73, 3656 (1998).
  5. H. Cao, Y. G. Zhao, S. T. Ho, E. W. Seelig, Q. H. Wang, and R. P. H. Chang, Phys. Rev. Lett. 82, 2278 (1999).
  6. H. Cao, Y. G. Zhao, H. C. Ong, and R. P. H. Chang, Phys. Rev. B 59, 15107 (1999).
  7. H. Cao, J. Y. Xu, E. W. Seeling, and R. P. H. Chang, Appl. Phys. Lett. 76, 2997 (2000).
  8. H. Cao, J. Y. Xu, D. Z. Hang, S. H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, Phys. Rev. Lett. 84, 5584 (2000).
  9. H. Cao, Y. Ling, J. Y. Xu, and C. Q. Cao, and P. Kumar, Phys. Rev. Lett. 86, 4524 (2001).
  10. H. Wang, Z. Ouyang, Y. Han, Q. Meng, Y. Jian, and X. Luo, Acta Opt. Sin. (in Chinese) 26, 1691 (2006).
  11. H. Wang, Z. Ouyang, Y. Han, Y. Zhong, and S. Ruan, Acta Opt. Sin. (in Chinese) 27, 1295 (2007).
  12. Q. Liu, Chinese J. Lasers (in Chinese) 34, 777 (2007).
  13. D. Wiersma, Nature 406, 132 (2000).
  14. Y. Xie and Z. Liu, Phys. Lett. A 341, 339 (2005).
  15. Y. M. Xie and Z. D. Liu, Chin. Phys. Lett. 22, 2827 (2005).
  16. M. Born and E. Wolf, Principles of Optics (7th edn.) (Cambridge University Press, London, 1999) Chapter 1.6.

2007 (2)

H. Wang, Z. Ouyang, Y. Han, Y. Zhong, and S. Ruan, Acta Opt. Sin. (in Chinese) 27, 1295 (2007).

Q. Liu, Chinese J. Lasers (in Chinese) 34, 777 (2007).

2006 (1)

H. Wang, Z. Ouyang, Y. Han, Q. Meng, Y. Jian, and X. Luo, Acta Opt. Sin. (in Chinese) 26, 1691 (2006).

2005 (2)

Y. Xie and Z. Liu, Phys. Lett. A 341, 339 (2005).

Y. M. Xie and Z. D. Liu, Chin. Phys. Lett. 22, 2827 (2005).

2001 (1)

H. Cao, Y. Ling, J. Y. Xu, and C. Q. Cao, and P. Kumar, Phys. Rev. Lett. 86, 4524 (2001).

2000 (3)

D. Wiersma, Nature 406, 132 (2000).

H. Cao, J. Y. Xu, E. W. Seeling, and R. P. H. Chang, Appl. Phys. Lett. 76, 2997 (2000).

H. Cao, J. Y. Xu, D. Z. Hang, S. H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, Phys. Rev. Lett. 84, 5584 (2000).

1999 (2)

H. Cao, Y. G. Zhao, S. T. Ho, E. W. Seelig, Q. H. Wang, and R. P. H. Chang, Phys. Rev. Lett. 82, 2278 (1999).

H. Cao, Y. G. Zhao, H. C. Ong, and R. P. H. Chang, Phys. Rev. B 59, 15107 (1999).

1998 (1)

H. Cao, Y. G. Zhao, H. C. Ong, S. T. Ho, J. Y. Dai, J. Y. Wu, and R. P. H. Chang, Appl. Phys. Lett. 73, 3656 (1998).

1996 (1)

D. S. Wiersma and A. Lagendijk, Phys. Rev. E 54, 4256 (1996).

1994 (1)

N. M. Lawandy, R. M. Salachandran, A. S. L. Gomes, and E. Sauvain, Nature 368, 436 (1994).

1968 (1)

V. S. Letokhov, Sov. Phys. JETP 26, 835 (1968).

Cao, C. Q.

H. Cao, Y. Ling, J. Y. Xu, and C. Q. Cao, and P. Kumar, Phys. Rev. Lett. 86, 4524 (2001).

Cao, H.

H. Cao, Y. Ling, J. Y. Xu, and C. Q. Cao, and P. Kumar, Phys. Rev. Lett. 86, 4524 (2001).

H. Cao, J. Y. Xu, E. W. Seeling, and R. P. H. Chang, Appl. Phys. Lett. 76, 2997 (2000).

H. Cao, J. Y. Xu, D. Z. Hang, S. H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, Phys. Rev. Lett. 84, 5584 (2000).

H. Cao, Y. G. Zhao, H. C. Ong, and R. P. H. Chang, Phys. Rev. B 59, 15107 (1999).

H. Cao, Y. G. Zhao, S. T. Ho, E. W. Seelig, Q. H. Wang, and R. P. H. Chang, Phys. Rev. Lett. 82, 2278 (1999).

H. Cao, Y. G. Zhao, H. C. Ong, S. T. Ho, J. Y. Dai, J. Y. Wu, and R. P. H. Chang, Appl. Phys. Lett. 73, 3656 (1998).

Chang, R. P. H.

H. Cao, J. Y. Xu, E. W. Seeling, and R. P. H. Chang, Appl. Phys. Lett. 76, 2997 (2000).

H. Cao, J. Y. Xu, D. Z. Hang, S. H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, Phys. Rev. Lett. 84, 5584 (2000).

H. Cao, Y. G. Zhao, S. T. Ho, E. W. Seelig, Q. H. Wang, and R. P. H. Chang, Phys. Rev. Lett. 82, 2278 (1999).

H. Cao, Y. G. Zhao, H. C. Ong, and R. P. H. Chang, Phys. Rev. B 59, 15107 (1999).

H. Cao, Y. G. Zhao, H. C. Ong, S. T. Ho, J. Y. Dai, J. Y. Wu, and R. P. H. Chang, Appl. Phys. Lett. 73, 3656 (1998).

Chang, S. H.

H. Cao, J. Y. Xu, D. Z. Hang, S. H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, Phys. Rev. Lett. 84, 5584 (2000).

Dai, J. Y.

H. Cao, Y. G. Zhao, H. C. Ong, S. T. Ho, J. Y. Dai, J. Y. Wu, and R. P. H. Chang, Appl. Phys. Lett. 73, 3656 (1998).

Gomes, A. S. L.

N. M. Lawandy, R. M. Salachandran, A. S. L. Gomes, and E. Sauvain, Nature 368, 436 (1994).

Han, Y.

H. Wang, Z. Ouyang, Y. Han, Y. Zhong, and S. Ruan, Acta Opt. Sin. (in Chinese) 27, 1295 (2007).

H. Wang, Z. Ouyang, Y. Han, Q. Meng, Y. Jian, and X. Luo, Acta Opt. Sin. (in Chinese) 26, 1691 (2006).

Hang, D. Z.

H. Cao, J. Y. Xu, D. Z. Hang, S. H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, Phys. Rev. Lett. 84, 5584 (2000).

Ho, S. T.

H. Cao, J. Y. Xu, D. Z. Hang, S. H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, Phys. Rev. Lett. 84, 5584 (2000).

H. Cao, Y. G. Zhao, S. T. Ho, E. W. Seelig, Q. H. Wang, and R. P. H. Chang, Phys. Rev. Lett. 82, 2278 (1999).

H. Cao, Y. G. Zhao, H. C. Ong, S. T. Ho, J. Y. Dai, J. Y. Wu, and R. P. H. Chang, Appl. Phys. Lett. 73, 3656 (1998).

Jian, Y.

H. Wang, Z. Ouyang, Y. Han, Q. Meng, Y. Jian, and X. Luo, Acta Opt. Sin. (in Chinese) 26, 1691 (2006).

Kumar, P.

H. Cao, Y. Ling, J. Y. Xu, and C. Q. Cao, and P. Kumar, Phys. Rev. Lett. 86, 4524 (2001).

Lagendijk, A.

D. S. Wiersma and A. Lagendijk, Phys. Rev. E 54, 4256 (1996).

Lawandy, N. M.

N. M. Lawandy, R. M. Salachandran, A. S. L. Gomes, and E. Sauvain, Nature 368, 436 (1994).

Letokhov, V. S.

V. S. Letokhov, Sov. Phys. JETP 26, 835 (1968).

Ling, Y.

H. Cao, Y. Ling, J. Y. Xu, and C. Q. Cao, and P. Kumar, Phys. Rev. Lett. 86, 4524 (2001).

Liu, Q.

Q. Liu, Chinese J. Lasers (in Chinese) 34, 777 (2007).

Liu, X.

H. Cao, J. Y. Xu, D. Z. Hang, S. H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, Phys. Rev. Lett. 84, 5584 (2000).

Liu, Z.

Y. Xie and Z. Liu, Phys. Lett. A 341, 339 (2005).

Liu, Z. D.

Y. M. Xie and Z. D. Liu, Chin. Phys. Lett. 22, 2827 (2005).

Luo, X.

H. Wang, Z. Ouyang, Y. Han, Q. Meng, Y. Jian, and X. Luo, Acta Opt. Sin. (in Chinese) 26, 1691 (2006).

Meng, Q.

H. Wang, Z. Ouyang, Y. Han, Q. Meng, Y. Jian, and X. Luo, Acta Opt. Sin. (in Chinese) 26, 1691 (2006).

Ong, H. C.

H. Cao, Y. G. Zhao, H. C. Ong, and R. P. H. Chang, Phys. Rev. B 59, 15107 (1999).

H. Cao, Y. G. Zhao, H. C. Ong, S. T. Ho, J. Y. Dai, J. Y. Wu, and R. P. H. Chang, Appl. Phys. Lett. 73, 3656 (1998).

Ouyang, Z.

H. Wang, Z. Ouyang, Y. Han, Y. Zhong, and S. Ruan, Acta Opt. Sin. (in Chinese) 27, 1295 (2007).

H. Wang, Z. Ouyang, Y. Han, Q. Meng, Y. Jian, and X. Luo, Acta Opt. Sin. (in Chinese) 26, 1691 (2006).

Ruan, S.

H. Wang, Z. Ouyang, Y. Han, Y. Zhong, and S. Ruan, Acta Opt. Sin. (in Chinese) 27, 1295 (2007).

Salachandran, R. M.

N. M. Lawandy, R. M. Salachandran, A. S. L. Gomes, and E. Sauvain, Nature 368, 436 (1994).

Sauvain, E.

N. M. Lawandy, R. M. Salachandran, A. S. L. Gomes, and E. Sauvain, Nature 368, 436 (1994).

Seelig, E. W.

H. Cao, J. Y. Xu, D. Z. Hang, S. H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, Phys. Rev. Lett. 84, 5584 (2000).

H. Cao, Y. G. Zhao, S. T. Ho, E. W. Seelig, Q. H. Wang, and R. P. H. Chang, Phys. Rev. Lett. 82, 2278 (1999).

Seeling, E. W.

H. Cao, J. Y. Xu, E. W. Seeling, and R. P. H. Chang, Appl. Phys. Lett. 76, 2997 (2000).

Wang, H.

H. Wang, Z. Ouyang, Y. Han, Y. Zhong, and S. Ruan, Acta Opt. Sin. (in Chinese) 27, 1295 (2007).

H. Wang, Z. Ouyang, Y. Han, Q. Meng, Y. Jian, and X. Luo, Acta Opt. Sin. (in Chinese) 26, 1691 (2006).

Wang, Q. H.

H. Cao, Y. G. Zhao, S. T. Ho, E. W. Seelig, Q. H. Wang, and R. P. H. Chang, Phys. Rev. Lett. 82, 2278 (1999).

Wiersma, D.

D. Wiersma, Nature 406, 132 (2000).

Wiersma, D. S.

D. S. Wiersma and A. Lagendijk, Phys. Rev. E 54, 4256 (1996).

Wu, J. Y.

H. Cao, Y. G. Zhao, H. C. Ong, S. T. Ho, J. Y. Dai, J. Y. Wu, and R. P. H. Chang, Appl. Phys. Lett. 73, 3656 (1998).

Xie, Y.

Y. Xie and Z. Liu, Phys. Lett. A 341, 339 (2005).

Xie, Y. M.

Y. M. Xie and Z. D. Liu, Chin. Phys. Lett. 22, 2827 (2005).

Xu, J. Y.

H. Cao, Y. Ling, J. Y. Xu, and C. Q. Cao, and P. Kumar, Phys. Rev. Lett. 86, 4524 (2001).

H. Cao, J. Y. Xu, D. Z. Hang, S. H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, Phys. Rev. Lett. 84, 5584 (2000).

H. Cao, J. Y. Xu, E. W. Seeling, and R. P. H. Chang, Appl. Phys. Lett. 76, 2997 (2000).

Zhao, Y. G.

H. Cao, Y. G. Zhao, H. C. Ong, and R. P. H. Chang, Phys. Rev. B 59, 15107 (1999).

H. Cao, Y. G. Zhao, S. T. Ho, E. W. Seelig, Q. H. Wang, and R. P. H. Chang, Phys. Rev. Lett. 82, 2278 (1999).

H. Cao, Y. G. Zhao, H. C. Ong, S. T. Ho, J. Y. Dai, J. Y. Wu, and R. P. H. Chang, Appl. Phys. Lett. 73, 3656 (1998).

Zhong, Y.

H. Wang, Z. Ouyang, Y. Han, Y. Zhong, and S. Ruan, Acta Opt. Sin. (in Chinese) 27, 1295 (2007).

Acta Opt. Sin. (in Chinese) (2)

H. Wang, Z. Ouyang, Y. Han, Q. Meng, Y. Jian, and X. Luo, Acta Opt. Sin. (in Chinese) 26, 1691 (2006).

H. Wang, Z. Ouyang, Y. Han, Y. Zhong, and S. Ruan, Acta Opt. Sin. (in Chinese) 27, 1295 (2007).

Appl. Phys. Lett. (2)

H. Cao, Y. G. Zhao, H. C. Ong, S. T. Ho, J. Y. Dai, J. Y. Wu, and R. P. H. Chang, Appl. Phys. Lett. 73, 3656 (1998).

H. Cao, J. Y. Xu, E. W. Seeling, and R. P. H. Chang, Appl. Phys. Lett. 76, 2997 (2000).

Chin. Phys. Lett. (1)

Y. M. Xie and Z. D. Liu, Chin. Phys. Lett. 22, 2827 (2005).

Chinese J. Lasers (in Chinese) (1)

Q. Liu, Chinese J. Lasers (in Chinese) 34, 777 (2007).

Nature (2)

D. Wiersma, Nature 406, 132 (2000).

N. M. Lawandy, R. M. Salachandran, A. S. L. Gomes, and E. Sauvain, Nature 368, 436 (1994).

Phys. Lett. A (1)

Y. Xie and Z. Liu, Phys. Lett. A 341, 339 (2005).

Phys. Rev. B (1)

H. Cao, Y. G. Zhao, H. C. Ong, and R. P. H. Chang, Phys. Rev. B 59, 15107 (1999).

Phys. Rev. E (1)

D. S. Wiersma and A. Lagendijk, Phys. Rev. E 54, 4256 (1996).

Phys. Rev. Lett. (3)

H. Cao, Y. G. Zhao, S. T. Ho, E. W. Seelig, Q. H. Wang, and R. P. H. Chang, Phys. Rev. Lett. 82, 2278 (1999).

H. Cao, J. Y. Xu, D. Z. Hang, S. H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, Phys. Rev. Lett. 84, 5584 (2000).

H. Cao, Y. Ling, J. Y. Xu, and C. Q. Cao, and P. Kumar, Phys. Rev. Lett. 86, 4524 (2001).

Sov. Phys. JETP (1)

V. S. Letokhov, Sov. Phys. JETP 26, 835 (1968).

Other (1)

M. Born and E. Wolf, Principles of Optics (7th edn.) (Cambridge University Press, London, 1999) Chapter 1.6.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.