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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 33, Iss. 13 — Jul. 1, 2008
  • pp: 1437–1439

Role of beam propagation in Goos–Hänchen and Imbert–Fedorov shifts

A. Aiello and J. P. Woerdman  »View Author Affiliations


Optics Letters, Vol. 33, Issue 13, pp. 1437-1439 (2008)
http://dx.doi.org/10.1364/OL.33.001437


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Abstract

We derive the polarization-dependent displacements parallel and perpendicular to the plane of incidence for a Gaussian light beam reflected from a planar interface, taking into account the propagation of the beam. Using a classical-optics formalism we show that beam propagation may greatly affect both Goos–Hänchen and Imbert–Fedorov shifts when the incident beam is focused.

© 2008 Optical Society of America

OCIS Codes
(260.5430) Physical optics : Polarization
(240.3695) Optics at surfaces : Linear and nonlinear light scattering from surfaces

ToC Category:
Physical Optics

History
Original Manuscript: April 22, 2008
Revised Manuscript: May 26, 2008
Manuscript Accepted: May 26, 2008
Published: June 23, 2008

Citation
A. Aiello and J. P. Woerdman, "Role of beam propagation in Goos–Hänchen and Imbert–Fedorov shifts," Opt. Lett. 33, 1437-1439 (2008)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-13-1437


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References

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  10. The literature on these topics is so vast that it is impossible to cite the complete bibliography. As an example, see and references therein.
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  12. It should be noted, however, that in an additional signal enhancement technique based upon polarization control is employed. In this Letter we do not cover such issues since for Gaussian beams the propagation factor is independent of polarization.
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  19. It should be noted for these “experimental” data the angular aperture ϑ=λ/(2πw0) of the beam is roughly ϑ≈1/130 so that second-order effects (O[ϑ]2) are negligible as compared with the first-order effects given by Eqs. . Second-order effects may become relevant, for example, in the proximity of the Brewster angle (typically within 10−4rad) in air-to-glass reflection processes. We do have full second-order versions of Eqs. , but they are so cumbersome that there is no room for them in the format of a Letter. They will appear in a full research paper that is in preparation.
  20. Note that in the authors use a lens L2 with focal length zeff to collimate the beam so that ⟨yr⟩ remains constant after passing L2.

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