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Optics Letters

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  • Vol. 25, Iss. 24 — Dec. 15, 2000
  • pp: 1792–1794

Scalar field of nonparaxial Gaussian beams

Z. Ulanowski and I. K. Ludlow  »View Author Affiliations


Optics Letters, Vol. 25, Issue 24, pp. 1792-1794 (2000)
http://dx.doi.org/10.1364/OL.25.001792


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Abstract

A family of closed-form expressions for the scalar field of strongly focused Gaussian beams in oblate spheroidal coordinates is given. The solutions satisfy the wave equation and are free from singularities. The lowest-order solution in the far field closely matches the energy density produced by a sine-condition, high-aperture lens illuminated by a paraxial Gaussian beam. At the large waist limit the solution reduces to the paraxial Gaussian beam form. The solution is equivalent to the spherical wave of a combined complex point source and sink but has the advantage of being more directly interpretatable.

© 2000 Optical Society of America

OCIS Codes
(140.3430) Lasers and laser optics : Laser theory
(260.2110) Physical optics : Electromagnetic optics

Citation
Z. Ulanowski and I. K. Ludlow, "Scalar field of nonparaxial Gaussian beams," Opt. Lett. 25, 1792-1794 (2000)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-25-24-1792


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References

  1. T. B. Landesman and H. H. Barrett, J. Opt. Soc. Am. A 5, 1610 (1988).
  2. C. Flammer, Spheroidal Wave Functions (Stanford U. Press, Stanford, Calif., 1957).
  3. C. J. R. Sheppard and S. Saghafi, Phys. Rev. A 57, 2971 (1998).
  4. G. A. Deschamps, Electron. Lett. 7, 684 (1971).
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