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  • Vol. 30, Iss. 16 — Aug. 15, 2005
  • pp: 2155–2157

Vector Helmholtz-Gauss and vector Laplace-Gauss beams

Miguel A. Bandres and Julio C. Gutiérrez-Vega  »View Author Affiliations


Optics Letters, Vol. 30, Issue 16, pp. 2155-2157 (2005)
http://dx.doi.org/10.1364/OL.30.002155


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Abstract

We demonstrate the existence of vector Helmholtz-Gauss (vHzG) and vector Laplace-Gauss beams that constitute two general families of localized vector beam solutions of the Maxwell equations in the paraxial approximation. The electromagnetic components are determined starting from the scalar solutions of the two-dimensional Helmholtz and Laplace equations, respectively. Special cases of the vHzG beams are TE and TM Gaussian vector beams, nondiffracting vector Bessel beams, polarized Bessel-Gauss beams, modes in cylindrical waveguides and cavities, and scalar Helmholtz-Gauss beams. The general expression of the vHzG beams can be used straightforwardly to obtain vector Mathieu-Gauss and vector parabolic-Gauss beams, which to our knowledge have not yet been reported.

© 2005 Optical Society of America

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

Citation
Miguel A. Bandres and Julio C. Gutiérrez-Vega, "Vector Helmholtz-Gauss and vector Laplace-Gauss beams," Opt. Lett. 30, 2155-2157 (2005)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-30-16-2155


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References

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