Abstract
Based on the vectorial Rayleigh–Sommerfeld diffraction integrals, the analytical expression for the spectral intensity of a vectorial nonparaxial ultrashort pulsed Gaussian beam diffracted at a rectangular hard-aperture is derived. The results of the far-field and paraxial cases can be regarded as special cases of the general expression. Effect of vectorial nature on spectral anomalies of ultrashort pulsed beams passing through a hard-edged aperture is analyzed in detail. It is shown that the spectral switch near the phase singularity, which is predicated under the condition of the scalar paraxial theory, disappears with the increasing effect of the vectorial and nonparaxial nature.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M.S. Soskin, M.V. Vasnetsov, Singular optics, in Progress in Optics, ed. by E. Wolf, vol. 42 (Elsevier, Amsterdam, 2001)
G. Gbur, T.D. Visser, E. Wolf, Phys. Rev. Lett. 88, 013901 (2002)
J. Pu, H. Zhang, S. Nemoto, Opt. Commun. 162, 57 (1999)
J. Pu, S. Nemoto, J. Opt. Soc. Am. A 19, 339 (2000)
G. Gbur, T.D. Visser, E. Wolf, J. Opt. Soc. Am. A 19, 1694 (2002)
L. Pan, B. Lü, IEEE J. Quantum Electron. 39, 1334 (2003)
S.A. Ponomarenko, E. Wolf, Opt. Lett. 27, 1211 (2002)
H.C. Kandpal, S. Anand, J.S. Vaishya, IEEE J. Quantum Electron. 38, 336 (2002)
J. Pu, S. Nemoto, IEEE J. Quantum Electron. 36, 1407 (2000)
Q. Zou, B. Lü, J. Opt. A, Pure Appl. Opt. 8, 531 (2006)
Y. Yang, Q. Zou, Y. Li, J. Mod. Opt. 55, 893 (2008)
S.P. Veetil, C. Vijayan, D.K. Sharma, H. Schimmel, F. Wyrowski, J. Mod. Opt. 53, 1819 (2006)
Y. Yang, Y. Li, Opt. Eng. 45, 118001 (2006)
D. Lu, W. Hu, Z. Yang, Y. Zheng, J. Opt. A, Pure Appl. Opt. 5, 263 (2003)
G.A. Keeler, B.E. Nelson, D. Agarwal et al., IEEE J. Sel. Top. Quantum Electron. 9, 477 (2003)
A.B. Fedotov, A.M. Zheltikov, A.P. Tarasevitch, D. von der Linde, Appl. Phys. B 73, 181 (2001)
D. Ganic, J.W.M. Chon, M. Gu, Appl. Phys. Lett. 82, 1527 (2003)
Y. Yang, K. Duan, Y. Li, Opt. Commun. 281, 521 (2008)
G.P. Agrawal, Opt. Commun. 167, 15 (1999)
R.K. Luneberg, Mathematical Theory of Optics (University of California Press, Berkley, 1966)
M. Lax, W.H. Louisell, W.B. Mcknight, Phys. Rev. A 11, 1365 (1975)
B. Lü, K. Duan, Opt. Lett. 28, 2440 (2003)
J. Pu, C. Cai, S. Nemoto, Opt. Express 12, 5131 (2004)
B.K. Yadav, S.A.M. Rizvi, S. Raman, R. Mehrotra, Opt. Commun. 269, 253 (2007)
M. Dyba, S.W. Hell, Phys. Rev. Lett. 88, 163901 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yang, Y., Duan, K., Jiang, D. et al. Effect of vectorial nature on spectral anomalies of ultrashort pulsed beams from a hard-edged aperture. Appl. Phys. B 98, 125–131 (2010). https://doi.org/10.1007/s00340-009-3730-6
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00340-009-3730-6