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On the longitudinal polarization of non-paraxial electromagnetic fields

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Abstract

Within the framework of the angular plane-wave spectrum of the electromagnetic field, the general form is given for the freely-propagating beams, exact solution of the Maxwell equations, that closely approach (in an algebraic sense) to a purely-longitudinal vectorial distribution at some transverse plane. In the rotationally symmetric case, such a field is written as the combination of radial and longitudinal components, whose propagation can be analysed independently. Several illustrative examples are also considered.

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References

  1. B. Richard, E. Wolf, Proc. R. Soc. A 253, 23 (1959)

    Google Scholar 

  2. Q. Lü, S. Dong, Horst Weber. Opt. Quantum Electron. 27, 777 (1995)

    Article  Google Scholar 

  3. R. Martínez-Herrero, P.M. Mejías, G. Piquero, Characterization of Partially Polarized Light Fields (Springer, Berlin, 2009)

    Book  Google Scholar 

  4. D.P. Biss, T.G. Brown, Opt. Lett. 28, 923 (2003)

    Article  ADS  Google Scholar 

  5. E.Y.S. Yew, C.J.R. Sheppard, Opt. Commun. 275, 453 (2007)

    Article  ADS  Google Scholar 

  6. L. Novotny, M.R. Bebersluis, K.S. Youngworth, T.G. Brown, Phys. Rev. Lett. 86, 5251 (2001)

    Article  ADS  Google Scholar 

  7. B. Hayazawa, Y. Saito, S. Kawata, Appl. Phys. Lett. 85, 6239 (2004)

    Article  ADS  Google Scholar 

  8. E.J. Bochove, G.T. Moore, M.O. Scully, Phys. Rev. A 46, 6640 (1992)

    Article  ADS  Google Scholar 

  9. C.J.R. Sheppard, J. Opt. Soc. Am. A 18, 1579 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  10. R. Dorn, S. Quabis, G. Lenchs, Phys. Rev. Lett. 91, 233901 (2003)

    Article  ADS  Google Scholar 

  11. C.J.R. Sheppard, A. Choudhury, Appl. Opt. 43, 4322 (2004)

    Article  ADS  Google Scholar 

  12. H. Wang, L. Shi, B. Lukyanchuk, C.J.R. Sheppard, C.T. Chong, Nat. Photonics 2, 501 (2008)

    Article  Google Scholar 

  13. M. Meyer, V. Romano, T. Feurer, Appl. Phys. A 86, 329 (2007)

    Article  ADS  Google Scholar 

  14. D.G. Hall, Opt. Lett. 21, 9 (1996)

    Article  ADS  Google Scholar 

  15. P. Varga, P. Török, Opt. Lett. 21, 1523 (1996)

    Article  ADS  Google Scholar 

  16. S.R. Seshadri, J. Opt. Soc. Am. A 15, 2712 (1998)

    Article  ADS  Google Scholar 

  17. C.J.R. Sheppard, S.R. Seshadri, J. Opt. Soc. Am. A 16, 1381 (1999)

    Article  ADS  Google Scholar 

  18. C.J.R. Sheppard, J. Opt. Soc. Am. A 17, 335 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  19. A.V. Nesterov, V.G. Niziev, Phys. Rev. E 71, 046608 (2005)

    Article  ADS  Google Scholar 

  20. H.M. Guo, J.B. Chen, S.L. Zhuang, Opt. Express 14, 2095 (2006)

    Article  ADS  Google Scholar 

  21. G.Q. Zhou, L. Chen, Y.Z. Ni, Chin. Phys. Lett. 23, 1180 (2006)

    Article  ADS  Google Scholar 

  22. G.Q. Zhou, K.C. Zhu, F.Q. Liu, Opt. Commun. 276, 37 (2007)

    Article  ADS  Google Scholar 

  23. D.M. Deng, Q. Guo, Opt. Lett. 32, 2711 (2007)

    Article  ADS  Google Scholar 

  24. R. Martínez-Herrero, P.M. Mejías, S. Bosch, A. Carnicer, J. Opt. Soc. Am. A 18, 1678 (2001)

    Article  ADS  Google Scholar 

  25. R. Martínez-Herrero, P.M. Mejías, S. Bosch, Opt. Commun. 281, 3046 (2008)

    ADS  Google Scholar 

  26. R. Martínez-Herrero, P.M. Mejías, Opt. Express 16, 9021 (2008)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Departamento de Óptica, Facultad de Ciencias Físicas, Universidad Complutense de Madrid, 28040, Madrid, Spain

    R. Martínez-Herrero & P. M. Mejías

  2. Instituto de Óptica, CSIC, Serrano 121, 28006, Madrid, Spain

    A. Manjavacas

Authors
  1. R. Martínez-Herrero
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  2. P. M. Mejías
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  3. A. Manjavacas
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Correspondence to P. M. Mejías.

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Martínez-Herrero, R., Mejías, P.M. & Manjavacas, A. On the longitudinal polarization of non-paraxial electromagnetic fields. Appl. Phys. B 99, 579–584 (2010). https://doi.org/10.1007/s00340-009-3864-6

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  • DOI: https://doi.org/10.1007/s00340-009-3864-6

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