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Optics Letters

Optics Letters


  • 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)

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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

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

A. Aiello and J. P. Woerdman, "Role of beam propagation in Goos–Hänchen and Imbert–Fedorov shifts," Opt. Lett. 33, 1437-1439 (2008)

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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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