OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 8 — Mar. 10, 2008
  • pp: 1152–1163

Obscuration size dependence of hot image in laser beam through a Kerr medium slab with gain and loss

Youwen Wang, Shuangchun Wen, Lifu Zhang, Yonghua Hu, and Dianyuan Fan  »View Author Affiliations


Applied Optics, Vol. 47, Issue 8, pp. 1152-1163 (2008)
http://dx.doi.org/10.1364/AO.47.001152


View Full Text Article

Enhanced HTML    Acrobat PDF (3312 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a study of the formation of a hot image in an intense laser beam through a slab of Kerr medium with gain and loss, beyond the thin-medium approximation, to especially disclose the dependence of the hot image on the size of obscuration. Based on the angular spectrum description of light propagation and the mean-field approximation we obtain the expression for intensity of the hot image, which clearly shows the dependence of intensity of the hot image on the size of obscuration. It is shown that, as the size of obscuration increases, the intensity of the corresponding hot image first increases gradually, after reaching a maximum value, it decreases rapidly to a minimum value, meaning that there exists an optimum size of obscuration, which leads to the most intense hot image. Further analysis demonstrates that the optimum size of obscuration is approximately determined by the effective fastest growing spatial frequency for a given case. For the output light beam of a given intensity, with the gain coefficient of the Kerr medium slab increasing, or the loss coefficient decreasing, the optimum size of obscuration becomes bigger, while the hot image from the obscuration of a given size becomes weaker, suggesting that high gain and low loss can efficiently suppress the hot image from obscurations. The theoretical predictions are confirmed by numerical simulations.

© 2008 Optical Society of America

OCIS Codes
(090.7330) Holography : Volume gratings
(140.3330) Lasers and laser optics : Laser damage
(140.3580) Lasers and laser optics : Lasers, solid-state
(260.5950) Physical optics : Self-focusing

ToC Category:
Nonlinear Optics

History
Original Manuscript: September 20, 2007
Revised Manuscript: January 2, 2008
Manuscript Accepted: January 4, 2008
Published: March 10, 2008

Citation
Youwen Wang, Shuangchun Wen, Lifu Zhang, Yonghua Hu, and Dianyuan Fan, "Obscuration size dependence of hot image in laser beam through a Kerr medium slab with gain and loss," Appl. Opt. 47, 1152-1163 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-8-1152


Sort:  Year  |  Journal  |  Reset  

References

  1. J. T. Hunt, K. R. Manes, and P. A. Renard, “Hot images from obscurations,” Appl. Opt. 32, 5973-5982 (1993). [CrossRef] [PubMed]
  2. W. Williams, P. A. Renard, K. R. Manes, D. Milam, J. T. Hunt, and D. EimerlModeling of Self-Focusing Experiments by Beam Propagation Codes, Report No. UCRL-LR-105821-96-1, (Lawrence Livermore National Laboratory, Livermore, Calif. 1996), pp. 1-8.
  3. C. C. Widmayer, D. Milam, and S. P. Deszoeke, “Nonlinear formation of holographic images of obscurations in laser beams,” Appl. Opt. 36, 9342-9347 (1997). [CrossRef]
  4. C. C. Widmayer, M. R. Nickels, and D. Milam, “Nonlinear holographic imaging of phase errors,” Appl. Opt. 37, 4801-4805(1998). [CrossRef]
  5. L. P. Xie, F. Jing, J. L. Zhao, J. Q. Su, W. Y. Wang, and H. S. Peng, “Nonlinear hot-image formation of an intense laser beam in media with gain and loss,” Opt. Commun. 236, 343-348 (2004). [CrossRef]
  6. L. P. Xie, J. L. Zhao, J. Q. Su, F. Jing, W. Y. Wang, and H. S. Peng, “Theoretical analysis of hot image effect from phase scatterer,” Acta Phys. Sin. 53, 2175-2179 (2004). (in Chinese).
  7. L. P. Xie, J. L. Zhao, and F. Jing, “Second-order hot image from a scatter in high-power laser systems,” Appl. Opt. 44, 2553-2557 (2005). [CrossRef] [PubMed]
  8. Y. W. Wang, Y. H. Hu, S. C. Wen, K. M. You, and X. Q. Fu, “Relationship between nonlinear hot image and dimensions of obscuration in high power lasers,” Acta Opt. Sin. 27, 1836-1841 (2007). (in Chinese).
  9. M. L. Spaeth, K. R. Manes, C. C. Widmayer, W. H. Williams, P. K. Whitman, M. A. Henesian, I. F. Stowers, and J. N. Honig, “The national ignition facility wavefront requirements and optical architecture,” Proc. SPIE 5341, 25-42 (2004). [CrossRef]
  10. T. Peng, J. Zhao, L. Xie, Z. Ye, H. W. J. Su, and J. Zhao, “Simulation analysis of the restraining effect of a spatial filter on a hot image,” Appl. Opt. 46, 3205-3209 (2007). [CrossRef] [PubMed]
  11. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999), p. 424.
  12. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968), pp. 55-58.
  13. S. C. Wen, and D. Y. Fan, “Theory of small-scale self-focusing of intense laser beams in media with gain and loss,” Acta Phys. Sin. 49, 1282-1286 (2000) (in Chinese).
  14. M. Karlsson, “Modulational instability in lossy optical fibers,” J. Opt. Soc. Am. B 12, 2071-2077 (1995).
  15. D. Anderson, and M. Lisak, “Modulational instability of coherent optical-fiber transmission signals,” Opt. Lett. 9, 468-470(1984). [CrossRef] [PubMed]
  16. A. Hasegawa, and K. Tai, “Effects of modulational instability on coherent transmission systems,” Opt. Lett. 14, 512-514(1989). [CrossRef] [PubMed]
  17. G. P. Agrawal, “Modulation instability in Erbium-doped fiber amplifiers,” IEEE Photon. Technol. Lett. 4, 562-564 (1992). [CrossRef]
  18. R. Q. Hui, M. O'Sullivan, A. Robinson, and M. Taylor, “Modulation instability and its impact in multi-span optical amplified IMDD systems: theory and experiments,” J. Lightwave Technol. 15, 1071-1082 (1997). [CrossRef]
  19. R. Hui, D. Chowdhury, M. Newhouse, M. O'Sullivan, and M. Poettcker, “Nonlinear amplification of noise in fibers with dispersion and its impact in optically amplified system,” IEEE Photon. Technol. Lett. 9, 392-394 (1997). [CrossRef]
  20. B. Xu and M. Brandt-Pearce, “Analysis of noise amplification by a CW pump signal due to fiber nonlinearity,” IEEE Photon. Technol. Lett. 16, 1062-1064 (2004). [CrossRef]
  21. A. E. Siegman, Lasers (University Science, 1986), p. 735.

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited