Abstract

The reflection of a beam of light at a plane interface is treated using the angular spectrum representation. The Goos-Hänchen shift is found to be proportional to the first derivative of the phase of the reflectance. The second derivative of the phase gives rise to a shift of the reflected beam along its direction of propagation. This new shift, called a focal shift, is different from the extra propagation distance of the beam predicted on the basis of a ray model for total internal reflection. Expressions are presented for the Goos-Hänchen and focal shifts for both s and p polarization.

© 1977 Optical Society of America

Measurement of the Goos-Hänchen shift at grazing incidence using Lloyd’s mirror

D. J. Rhodes and C. K. Carniglia
J. Opt. Soc. Am. 67(5) 679-683 (1977)

Upper-limited angular Goos-Hänchen shifts of Laguerre-Gaussian beams

Hai Lin, Wenguo Zhu, Jianhui Yu, Mengjiang Jiang, Linqing Zhuo, Wentao Qiu, Jiangli Dong, Yongchun Zhong, and Zhe Chen
Opt. Express 26(5) 5810-5818 (2018)

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

Chandra Prajapati and D. Ranganathan
J. Opt. Soc. Am. A 29(7) 1377-1382 (2012)

Total Reflection: A New Evaluation of the Goos–Hänchen Shift

Rémi H. Renard
J. Opt. Soc. Am. 54(10) 1190-1197 (1964)

Observation of Goos-Hänchen shifts in metallic reflection

M. Merano, A. Aiello, G.W. ’t Hooft, M. P. van Exter, E. R. Eliel, and J. P. Woerdman
Opt. Express 15(24) 15928-15934 (2007)