Abstract
Analytic expressions for the fields of a tightly focused Gaussian laser beam are derived, accurate to ε11, where ε is the diffraction angle. It is found that, for example, using the derived fields, the calculated power can be about 25% more accurate than when calculated using the paraxial approximation for a beam focused down to a waist radius w0∼0.4λ, where λ is the wavelength.
Similar content being viewed by others
References
N.I. Petrov, Opt. Express 9, 658 (2001)
Y.I. Salamin, C.H. Keitel, Phys. Rev. Lett. 88, 095005 (2002)
Y.I. Salamin, G.R. Mocken, C.H. Keitel, Phys. Rev. ST Accel. Beams 5, 101301 (2002)
Y.I. Salamin, G.R. Mocken, C.H. Keitel, Phys. Rev. E 67, 016501 (2003)
L.W. Davis, Phys. Rev. A 19, 1177 (1979)
J.P. Barton, D.R. Alexander, J. Appl. Phys. 66, 2800 (1989)
K.T. McDonald, hep.princeton.edu/∼mcdonald/accel/gaussian.ps; hep.princeton.edu/∼mcdonald/accel/gaussian2.ps
M. Lax, W.H. Louisell, W.B. McKnight, Phys. Rev. A 11, 1365 (1975)
G.P. Agrawal, D.N. Pattanayak, J. Opt. Soc. Am. 69, 575 (1979)
T. Takenaka, M. Yokota, O. Fukumitsu, J. Opt. Soc. Am. A 2, 826 (1985)
A. Wünsche, J. Opt. Soc. Am. A 9, 765 (1992)
Q. Cao, X. Deng, J. Opt. Soc. Am. A 15, 1144 (1998)
C.J.R. Sheppard, S. Saghafi, J. Opt. Soc. Am. A 16, 1381 (1999)
C.G. Chen, P.T. Konkola, J. Ferrara, R.K. Heilmann, M.L. Schattenburg, J. Opt. Soc. Am. A 19, 404 (2002)
K. Duan, B. Lü, J. Opt. Soc. Am. A 21, 1924 (2004)
Y. Zhang, L. Wang, C. Zheng, J. Opt. Soc. Am. A 22, 1924 (2005)
Y.I. Salamin, Concepts Phys. II, 241 (2005)
G. Malka, E. Lefebvre, J.L. Miquel, Phys. Rev. Lett. 78, 3314 (1997)
K.T. McDonald, Phys. Rev. Lett. 80, 1350 (1998)
E. Lefebvre, G. Malka, J.L. Miquel, Phys. Rev. Lett. 80, 1352 (1998)
R. Borghi, M. Santarsiero, Opt. Lett. 28, 774 (2003)
Author information
Authors and Affiliations
Corresponding author
Additional information
PACS
42.65.-k; 42.50.Vk; 52.75.Di
Rights and permissions
About this article
Cite this article
Salamin, Y. Fields of a Gaussian beam beyond the paraxial approximation. Appl. Phys. B 86, 319–326 (2007). https://doi.org/10.1007/s00340-006-2442-4
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00340-006-2442-4