OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 9 — May. 1, 2014
  • pp: 2703–2706

Virtual source of a Pearcey beam

Dongmei Deng, Chidao Chen, Xin Zhao, Bo Chen, Xi Peng, and Yushan Zheng  »View Author Affiliations

Optics Letters, Vol. 39, Issue 9, pp. 2703-2706 (2014)

View Full Text Article

Enhanced HTML    Acrobat PDF (244 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A virtual source that yields a family of a Pearcey wave is demonstrated. A closed-form expression is derived for the Pearcey wave that simplifies to the paraxial Pearcey beam (PB) in the appropriate limit. From the perturbative series representation of a complex-source-point spherical wave, an infinite series nonparaxial correction expression for a PB is obtained. The infinite series expression of a PB can give accuracy up to any order of the diffraction angle. By applying the integral representation of the Pearcey wave, the first three terms in the nonparaxial correction series to the paraxial PB are provided.

© 2014 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

Original Manuscript: March 3, 2014
Revised Manuscript: March 28, 2014
Manuscript Accepted: April 1, 2014
Published: April 25, 2014

Dongmei Deng, Chidao Chen, Xin Zhao, Bo Chen, Xi Peng, and Yushan Zheng, "Virtual source of a Pearcey beam," Opt. Lett. 39, 2703-2706 (2014)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264 (1979). [CrossRef]
  2. G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007). [CrossRef]
  3. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007). [CrossRef]
  4. J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, Opt. Express 16, 12880 (2008). [CrossRef]
  5. J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photonics 2, 675 (2008). [CrossRef]
  6. P. Polynkin, M. Koleskik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009). [CrossRef]
  7. A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photonics 4, 103 (2010). [CrossRef]
  8. C. Ament, P. Polynkin, and J. V. Moloney, Phys. Rev. Lett. 107, 243901 (2011). [CrossRef]
  9. S. Barwick, Opt. Lett. 35, 4118 (2010). [CrossRef]
  10. I. Kaminer, R. Bekenstein, J. Nemirovsky, and M. Segev, Phys. Rev. Lett. 108, 163901 (2012). [CrossRef]
  11. P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. C. Li, R. Morandotti, X. Zhang, and Z. G. Chen, Opt. Lett. 37, 2820 (2012). [CrossRef]
  12. P. Zhang, Y. Hu, T. C. Li, D. Cannan, X. B. Yin, R. Morandotti, Z. G. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012). [CrossRef]
  13. P. Aleahmad, M. A. Miri, M. S. Mills, I. Kaminer, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 109, 203902 (2012). [CrossRef]
  14. J. D. Ring, J. Lindberg, A. Mourka, M. Mazilu, K. Dholakia, and M. R. Dennis, Opt. Express 20, 18955 (2012). [CrossRef]
  15. G. A. Deschamps, Electron. Lett. 7, 684 (1971). [CrossRef]
  16. L. B. Felsen, J. Opt. Soc. Am. 66, 751 (1976). [CrossRef]
  17. S. Y. Shin and L. B. Felsen, J. Opt. Soc. Am. 67, 699 (1977). [CrossRef]
  18. S. R. Seshadri, Opt. Lett. 27, 998 (2002). [CrossRef]
  19. S. R. Seshadri, Opt. Lett. 27, 1872 (2002). [CrossRef]
  20. S. R. Seshadri, Opt. Lett. 28, 595 (2003). [CrossRef]
  21. M. A. Bandres and J. C. Gutiérrez-Vega, Opt. Lett. 29, 2213 (2004). [CrossRef]
  22. Y. C. Zhang, Y. J. Song, Z. R. Chen, J. H. Ji, and Z. X. Shi, Opt. Lett. 32, 292 (2007). [CrossRef]
  23. D. M. Deng and Q. Guo, Opt. Lett. 33, 1225 (2008). [CrossRef]
  24. D. M. Deng and Q. Guo, J. Opt. Soc. Am. B 26, 2044 (2009). [CrossRef]
  25. S. H. Yan, B. L. Yao, M. Lei, D. Dan, Y. L. Yang, and P. Gao, Opt. Lett. 37, 4774 (2012).
  26. M. V. Berry and C. J. Howls, “Catastrophes and Canonical Integrals,” Digital Library of Mathematical Functions, National Institute of Standards and Technology, 2012, http://dlmf.nist.gov/36.2 .
  27. T. Pearcey, Philos. Mag. Ser. 37(268), 311 (1946).

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.


Fig. 1. Fig. 2.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited