OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 10 — Oct. 1, 2007
  • pp: A26–A33

Effect of local pumping on random laser modes in one dimension

Xiaohua Wu, Jonathan Andreasen, Hui Cao, and Alexey Yamilov  »View Author Affiliations

JOSA B, Vol. 24, Issue 10, pp. A26-A33 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (514 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We have developed a numerical method based on the transfer matrix to calculate the quasi modes and lasing modes in one-dimensional random systems. Depending on the relative magnitude of the localization length versus the system size, there are two regimes in which the quasi modes are distinct in spatial profile and frequency distribution. In the presence of uniform gain, the lasing modes have one-to-one correspondence to the quasi modes in both regimes. Local excitation may enhance the weight of a mode within the gain region due to local amplification, especially in a weakly scattering system.

© 2007 Optical Society of America

OCIS Codes
(140.3460) Lasers and laser optics : Lasers
(290.4210) Scattering : Multiple scattering

Original Manuscript: January 18, 2007
Manuscript Accepted: March 13, 2007
Published: July 19, 2007

Virtual Issues
Photonic Metamaterials (2007) JOSA A

Xiaohua Wu, Jonathan Andreasen, Hui Cao, and Alexey Yamilov, "Effect of local pumping on random laser modes in one dimension," J. Opt. Soc. Am. B 24, A26-A33 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. Cao, "Lasing in random media," Waves Random Media 13, R1-R39 (2003). [CrossRef]
  2. V. S. Letokhov, "Quantum statistics of multi-mode radiation from an ensemble of atoms," Sov. Phys. JETP 26, 1246-1251 (1968).
  3. H. Cao, J. Y. Xu, D. Z. Zhang, S. H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, "Spatial confinement of laser light in active random media," Phys. Rev. Lett. 84, 5584-5587 (2000). [CrossRef] [PubMed]
  4. C. Vanneste and P. Sebbah, "Selective excitation of localized modes in active random media," Phys. Rev. Lett. 87, 183903 (2001). [CrossRef]
  5. X. Y. Jiang and C. M. Soukoulis, "Localized random lasing modes and a path for observing localization," Phys. Rev. E 65, 025601 (2002). [CrossRef]
  6. V. M. Apalkov, M. E. Raikh, and B. Shapiro, "Random resonators and prelocalized modes in disordered dielectric films," Phys. Rev. Lett. 89, 016802 (2002). [CrossRef] [PubMed]
  7. H. Cao, Y. Ling, J. Y. Xu, and A. L. Burin, "Probing localized states with spectrally resolved speckle techniques," Phys. Rev. E 66, R025601 (2002). [CrossRef]
  8. L. I. Deych, "Effects of spatial nonuniformity on laser dynamics," Phys. Rev. Lett. 95, 043902 (2005). [CrossRef] [PubMed]
  9. H. E. Türeci, A. D. Stone, and B. Collier, "Self-consistent multimode lasing theory for complex or random lasing media," Phys. Rev. A 74, 043822 (2006). [CrossRef]
  10. H. E. Türeci, A. D. Stone, and L. Ge, "Theory of the spatial structure of non-linear lasing modes," http://arxiv.org/PSlowbarcache/cond-mat/pdf/0610/0610229v1.pdf.
  11. A. Yamilov, X. Wu, H. Cao, and A. Burin, "Absorption-induced confinement of lasing modes in diffusive random medium," Opt. Lett. 30, 2430-2432 (2005). [CrossRef] [PubMed]
  12. T. Sh. Misirpashaev and C. W. J. Beenakker, "Lasing threshold and mode competition in chaotic cavities," Phys. Rev. A 57, 2041-2045 (1998). [CrossRef]
  13. Y. Ling, H. Cao, A. L. Burin, M. A. Ratner, C. Liu, and R. P. H. Chang, "Investigation of random lasers with resonant feedback," Phys. Rev. A 64, 063808 (2001). [CrossRef]
  14. M. Patra, "Decay rate distributions of disordered slabs and application to random lasers," Phys. Rev. E 67, 016603 (2003). [CrossRef]
  15. S. H. Chang, H. Cao, and S. T. Ho, "Cavity formation and light propagation in partially ordered and completely random one-dimensional systems," IEEE J. Quantum Electron. 39, 364-374 (2003). [CrossRef]
  16. V. M. Apalkov and M. E. Raikh, "Universal fluctuations of the random lasing threshold in a sample of a finite area," Phys. Rev. B 71, 054203 (2005). [CrossRef]
  17. G. Hackenbroich, "Statistical theory of multimode random lasers," J. Phys. A 38, 10537-10543 (2005). [CrossRef]
  18. T. Kottos, "Statistics of resonances and delay times in random media: beyond random matrix theory," J. Phys. A 38, 10761-10786 (2005). [CrossRef]
  19. K. L. van der Molen, A. P. Mosk, and A. Lagendijk, "Intrinsic intensity fluctuations in random lasers," Phys. Rev. A 74, 053808 (2006). [CrossRef]
  20. H. Kogelnik and C. V. Shank, "Coupled-wave theory of distributed feedback lasers," J. Appl. Phys. 43, 2327-2335 (1972). [CrossRef]
  21. S. V. Frolov, Z. V. Vardeny, K. Yoshino, A. A. Zakhidov, and R. H. Baughman, "Stimulated emission in high-gain organic media," Phys. Rev. B 59, R5284-R5287 (1999). [CrossRef]
  22. R. C. Polson and Z. V. Vardeny, "Organic random lasers in the weak-scattering regime," Phys. Rev. B 71, 045205 (2005). [CrossRef]
  23. X. Wu, A. Yamilov, A. A. Chabanov, A. A. Asatryan, L. C. Botten, and H. Cao, "Random lasing in weakly scattering systems," Phys. Rev. A 74, 053812 (2006). [CrossRef]
  24. S. M. Dutra and G. Nienhuis, "Quantized mode of a leaky cavity," Phys. Rev. A 62, 063805 (2000). [CrossRef]
  25. X. Y. Jiang and C. M. Soukoulis, "Symmetry between absorption and amplification in disordered media," Phys. Rev. B 59, R9007-R9010 (1999). [CrossRef]
  26. C. Vanneste, P. Sebbah, and H. Cao, "Lasing with coherent feedback in the diffusive regime," Phys. Rev. Lett. 98, 143902 (2007). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited