OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 17 — Sep. 1, 2006
  • pp: 2589–2591

Analytical solutions for the electromagnetic fields of tightly focused laser beams of arbitrary pulse length

Scott M. Sepke and Donald P. Umstadter  »View Author Affiliations


Optics Letters, Vol. 31, Issue 17, pp. 2589-2591 (2006)
http://dx.doi.org/10.1364/OL.31.002589


View Full Text Article

Enhanced HTML    Acrobat PDF (109 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The analytical solution for a monochromatic focused laser beam was recently published [ Opt. Lett. 31, 1447 (2006) ]. The effect of introducing bandwidth by including a finite-length temporal pulse envelope is included exactly. This is done formally first in the frequency domain for an arbitrary pulse shape, and the specific case of a cosine-squared envelope is then solved analytically for all pulse lengths, thereby decreasing the computation time by 2 orders of magnitude. The inclusion of longer wavelengths reduces the fraction of laser energy in the focus from 86.5% to 83.5% for a 5 fs Ti:sapphire laser and 72.7% in a single-cycle pulse.

© 2006 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(140.7090) Lasers and laser optics : Ultrafast lasers
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: May 10, 2006
Revised Manuscript: June 2, 2006
Manuscript Accepted: June 12, 2006
Published: August 9, 2006

Citation
Scott M. Sepke and Donald P. Umstadter, "Analytical solutions for the electromagnetic fields of tightly focused laser beams of arbitrary pulse length," Opt. Lett. 31, 2589-2591 (2006)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-31-17-2589


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. Nisoli, S. D. Silvestri, O. Svelto, R. Szipcs, K. Ferencz, C. Spielmann, S. Sartania, and F. Krausz, Opt. Lett. 22, 522 (1997). [CrossRef] [PubMed]
  2. N. L. Wagner, E. A. Gibson, T. Popmintchev, and I. P. Christov, Phys. Rev. Lett. 93, 173902 (2004). [CrossRef] [PubMed]
  3. A. A. Balakin, G. M. Fraiman, N. J. Fisch, and S. Suckewer, Phys. Rev. E 72, 036401 (2005). [CrossRef]
  4. A. Couairon, M. Franco, A. Mysyrowicz, J. Biegert, and U. Keller, Opt. Lett. 30, 2657 (2005). [CrossRef] [PubMed]
  5. A. J. Waddie, M. J. Thomson, and M. R. Taghizadeh, Opt. Lett. 30, 991 (2005). [CrossRef] [PubMed]
  6. M. Spanner, M. Y. Ivanov, V. Kalosha, J. Hermann, D. A. Wiersma, and M. Pshenichnikov, Opt. Lett. 28, 749 (2003). [CrossRef] [PubMed]
  7. E. Zeek, K. Maginnis, S. Backus, U. Russek, M. Murnane, G. Mourou, H. Kapteyn, and G. Vdovin, Opt. Lett. 24, 493 (1999). [CrossRef]
  8. B. Rau, T. Tajima, and H. Hojo, Phys. Rev. Lett. 78, 3310 (1997). [CrossRef]
  9. J. Faure, Y. Glinec, J. J. Santos, F. Ewald, J.-P. Rousseau, S. Kiselev, A. Pukhov, T. Hosokai, and V. Malka, Phys. Rev. Lett. 95, 205003 (2005). [CrossRef] [PubMed]
  10. N. M. Naumova, J. A. Nees, I. V. Sokolov, B. Houl, and G. A. Mourou, Phys. Rev. Lett. 92, 063902 (2004). [CrossRef] [PubMed]
  11. G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. D. Silvestri, Nature 414, 182 (2001). [CrossRef] [PubMed]
  12. S. Sepke and D. Umstadter, Opt. Lett. 31, 1447 (2006). [CrossRef] [PubMed]
  13. S. Banerjee, S. Sepke, R. Shah, A. Valenzuela, A. Maksimchuk, and D. Umstadter, Phys. Rev. Lett. 95, 035004 (2005). [CrossRef] [PubMed]
  14. B. Quesnel and P. Mora, Phys. Rev. E 58, 3719 (1998). [CrossRef]
  15. A. Maltsev and T. Ditmire, Phys. Rev. Lett. 90, 053002 (2003). [CrossRef] [PubMed]
  16. H. Hora, Laser Plasma Physics (SPIE, 2000), and references therein.
  17. H. Hora, M. Hoelss, W. Scheid, J. X. Wang, Y. K. Ho, F. Osman, and R. Castillo, Laser Part. Beams 18, 135 (2000). [CrossRef]
  18. S. Weber, G. Riazuelo, P. Michel, R. Loubere, F. Walraet, V. T. Tikhonchuk, V. Malka, J. Ovadia, and G. Bonnaud, Laser Part. Beams 22, 189 (2004). [CrossRef]
  19. J. A. Stratton and L. J. Chu, Phys. Rev. 56, 99 (1939). [CrossRef]
  20. P. Varga and P. Török, J. Opt. Soc. Am. A 17, 2081 (2000). [CrossRef]
  21. A. Ludu and R. F. O'Connell, Phys. Scr. 65, 369 (2002). [CrossRef]

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.

Figures

Fig. 1
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited