Abstract
Based on the fact that a hard-edged elliptical aperture can be expanded approximately as a finite sum of complex Gaussian functions in tensor form, an analytical propagation expression for an elliptical cosh-Gaussian beam (EChGB) truncated by an elliptical aperture and passing through an axially nonsymmetrical optical system is obtained by use of vector integration. Furthermore, the analytical propagation expression for a truncated off-axial EChGB is derived as an application example. Some numerical simulations are given to illustrate the propagation properties of EChGBs and off-axial EChGBs passing through a free space with an elliptical aperture.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S.A. Collins, J. Opt. Soc. Am. 60, 1168 (1970)
Q. Lin, S. Wang, J. Alda, E. Bernabeu, Optik 85, 67 (1990)
S. Wang, D. Zhao, Matrix Optics (CHEP-Springer, Beijing, 2000)
X. Du, D. Zhao, J. Opt. Soc. Am. A 23, 625 (2006)
L.W. Casperson, D.G. Hall, A.A. Tovar, J. Opt. Soc. Am. A 14, 3341 (1997)
L.W. Casperson, A.A. Tovar, J. Opt. Soc. Am. A 15, 954 (1998)
B. Lü, H. Ma, B. Zhang, Opt. Commun. 164, 165 (1999)
H.T. Eyyuboglu, Y. Baykal, Opt. Express 12, 4659 (2004)
H.T. Eyyuboglu, Y. Baykal, Appl. Opt. 44, 976 (2005)
X. Du, D. Zhao, Opt. Commun. 265, 418 (2006)
X. Du, D. Zhao, Opt. Commun. 268, 282 (2006)
N. Zhou, G. Zeng, Opt. Commun. 232, 49 (2004)
Y. Qiu, H. Guo, X. Chen, H.J. Kong, J. Opt. A Pure Appl. Opt. 6, 210 (2004)
D. Zhao, H. Mao, W. Zhang, S. Wang, Opt. Commun. 224, 5 (2003)
D. Zhao, H. Mao, H. Liu, J. Opt. A Pure Appl. Opt. 6, 77 (2004)
H.T. Eyyuboglu, Y. Baykal, Opt. Commun. 272, 22 (2007)
J.J. Wen, M.A. Breazeale, J. Acoust. Soc. Am. 83, 1752 (1988)
J. Alda, S. Wang, E. Bernabeu, Opt. Commun. 80, 350 (1991)
Y. Baykal, H.T. Eyyuboglu, Opt. Commun. 269, 30 (2007)
Author information
Authors and Affiliations
Corresponding author
Additional information
PACS
41.85.Ew; 42.60.Jf; 42.25.Bs
Rights and permissions
About this article
Cite this article
Du, X., Zhao, D. Propagation of elliptical cosh-Gaussian beams and off-axial elliptical cosh-Gaussian beams in apertured optical systems. Appl. Phys. B 88, 267–272 (2007). https://doi.org/10.1007/s00340-007-2683-x
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00340-007-2683-x