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Chin. Opt. Lett.
 Home  List of Issues    Issue 12 , Vol. 16 , 2018    10.3788/COL201816.122601


Asymmetric Mathieu beams
Arturo Barcelo-Chong, Brian Estrada-Portillo, Arturo Canales-Benavides, and Servando Lopez-Aguayo
[Tecnologico de Monterrey, Escuela de Ingenieríay Ciencias], Monterrey 64849, México

Chin. Opt. Lett., 2018, 16(12): pp.122601

DOI:10.3788/COL201816.122601
Topic:Physical optics
Keywords(OCIS Code): 260.1960  140.3300  070.3185  

Abstract
We report the generation of asymmetric Mathieu beams: invariant intensity optical profiles that can be described by three parameters. The first one describes the amount of ellipticity, the second one takes into account the degree of asymmetry of the profile, and the third parameter denotes the angular position, where it is localized with the respective asymmetry. We propose a simple angular spectrum to generate these nondiffracting beams, and we report how it changes their distribution of power and orbital angular momentum in function with their ellipticity and degree of asymmetry. We confirm the existence of these invariant beams by propagation in an experimental setup.

Copyright: © 2003-2012 . This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Received:2018/9/3
Accepted:2018/10/22
Posted online:2018/11/27

Get Citation: Arturo Barcelo-Chong, Brian Estrada-Portillo, Arturo Canales-Benavides, and Servando Lopez-Aguayo, "Asymmetric Mathieu beams," Chin. Opt. Lett. 16(12), 122601(2018)

Note: We thank Consejo Nacional de Ciencia y Tecnologia (CONACYT) (243284).



References

1. I. Bloch, Nat. Phys. 1, 23 (2005).

2. W. S. Bakr, J. I. Gillen, A. Peng, S. F?lling, and M. Greiner, Nature 462, 74 (2009).

3. K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 100, 103904 (2008).

4. G. K. Brennen, C. M. Caves, P. S. Jessen, and I. H. Deutsch, Phys. Rev. Lett. 82, 1060 (1999).

5. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Progr. Opt. 52, 63 (2009).

6. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Lett. 30, 637 (2005).

7. E. G. Kalnins, and W. Miller, J. Math. Phys. 17, 331 (1976).

8. J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).

9. J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987).

10. J. C. Gutiérrez-Vega, M. D. Iturbe-Castillo, and S. Chávez-Cerda, Opt. Lett. 25, 1493 (2000).

11. M. A. Bandres, J. C. Gutiérrez-Vega, and S. Chávez-Cerda, Opt. Lett. 29, 44 (2004).

12. S. López-Aguayo, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 105, 013902 (2010).

13. V. V. Kotlyar, A. A. Kovalev, and V. A. Soifer, Opt. Lett. 39, 2395 (2014).

14. M. Mazilu, D. J. Stevenson, F. Gunn-Moore, and K. Dholakia, Laser Photon. Rev. 4, 529 (2010).

15. A. A. Kovalev, and V. V. Kotlyar, Opt. Commun. 338, 117 (2015).

16. A. A. Kovalev, V. V. Kotlyar, S. G. Zaskanov, and A. P. Porfirev, J. Opt. 17, 035604 (2015).

17. P. A. Sanchez-Serrano, D. Wong-Campos, S. Lopez-Aguayo, and J. C. Gutiérrez-Vega, Opt. Lett. 37, 5040 (2012).

18. S. Orlov, and V. Vosylius, in Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference (CLEO/Europe-EQEC) (IEEE, 2017), paper?CM_P_8.

19. U. Felix-Rendon, and S. Lopez-Aguayo, J. Opt. 20, 015606 (2017).

20. A. Ruelas, S. Lopez-Aguayo, and J. C. Gutiérrez-Vega, Opt. Lett. 33, 2785 (2008).

21. J. C. Gutiérrez-Vega, and M. A. Bandres, J. Opt. Soc. Am. A 22, 289 (2005).

22. V. V. Kotlyar, A. A. Kovalev, R. V. Skidanov, and V. A. Soifer, J. Opt. Soc. Am. A 31, 1977 (2014).

23. C. Lóxpez-Mariscal, J. C. Gutiérrez-Vega, G. Milne, and K. Dholakia, Opt. Express 14, 4182 (2006).

24. V. V. Kotlyar, S. S. Stafeev, and A. P. Porfirev, Opt. Commun. 357, 45 (2015).

25. S. Lopez-Aguayo, C. Ruelas-Valdez, B. Perez-Garcia, A. Ortiz-Ambriz, R. I. Hernandez-Aranda, and J. C. Gutiérrez-Vega, Opt. Lett. 39, 6545 (2014).

26. V. V. Kotlyar, A. A. Kovalev, and A. P. Porfirev, Opt. Lett. 42, 139 (2017).

27. A. A. Kovalev, V. V. Kotlyar, and A. P. Porfirev, Phys. Rev. A 93, 063858 (2016).

28. V. V. Kotlyar, A. A. Kovalev, and A. P. Porfirev, Phys. Rev. A 95, 053805 (2017).

29. V. V. Kotlyar, and A. A. Kovalev, Opt. Commun. 410, 202 (2018).


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