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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 29, Iss. 7 — Jul. 1, 2012
  • pp: 1377–1382

Goos–Hanchen and Imbert–Fedorov shifts for Hermite–Gauss beams

Chandra Prajapati and D. Ranganathan  »View Author Affiliations

JOSA A, Vol. 29, Issue 7, pp. 1377-1382 (2012)

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We study the lateral Goos–Hanchen and the transverse Imbert–Fedorov shift produced during the reflection of Hermite–Gauss beams Hm0 or H0m at a plane interface. The vector angular spectrum method for a light beam in terms of a two-form angular spectrum consisting of the two orthogonal polarized components was used. We have carried out a detailed numerical calculation of these shifts at different angles of incidence, over the whole range of incidence without making the usual approximations. The shift variation as a function of refractive index and order of the Hermite–Gauss beam is studied. We also compare the shift variations with the orientation of the lobes of the Hermite–Gauss beam. We observed that the shifts are nearly equal for the two cases Hm0 (lobe oriented in the plane of incidence) and H0m (lobe oriented perpendicular to plane of incidence). These are the first quantitative estimates of the shifts for Hermite–Gauss beams as per our knowledge and are relevant for all cases of slab geometry.

© 2012 Optical Society of America

OCIS Codes
(050.5080) Diffraction and gratings : Phase shift
(160.4760) Materials : Optical properties
(260.6970) Physical optics : Total internal reflection

ToC Category:
Diffraction and Gratings

Original Manuscript: January 5, 2012
Revised Manuscript: April 18, 2012
Manuscript Accepted: May 10, 2012
Published: June 21, 2012

Chandra Prajapati and D. Ranganathan, "Goos–Hanchen and Imbert–Fedorov shifts for Hermite–Gauss beams," J. Opt. Soc. Am. A 29, 1377-1382 (2012)

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