The frequency crossover for the Goos-Hanchen shift

Abstract

For total reflection, the Goos-Hanchen (GH) shift is proportional to the wavelength of the laser beam. At critical angles, such a shift is instead proportional to the square root of the product of the beam waist and wavelength. By using the stationary phase method (SPM) and, when necessary, numerical calculations, we present a detailed analysis of the frequency crossover for the GH shift. The study, done in different incidence regions, sheds new light on the validity of the analytic formulas found in literature.

14 pages, 4 figures

References in corpus (2)

• Goos-Hänchen and Imbert-Fedorov beam shifts: An overview
• The analogy between optical beam shifts and quantum weak measurements

Cited by in corpus (14)

• Weak measurement og the composite Goo-Haenchen shift in the critical region
• Closed form expression for the Goos-Haenchen lateral displacement
• The oscillatory behavior of light in the composite Goos-Haenchen shift
• Axial dependence of optical weak measurements in the critical region
• Maximal breaking of symmetry at critical angle and closed form expression for angular deviations of the Snell law
• Optimizing weak measurements to detect angular deviations
• Lateral shifts and angular deviations of Gaussian optical beams reflected by and transmitted through dielectric blocks: A tutorial review
• Transversal symmetry breaking and axial spreading modification for Gaussian optical beams
• Experimental confirmation of the transversal symmetry breaking in laser profiles
• Power oscillations induced by the relative Goos-Haenchen phase
• Laser planar trapping
• The effect of the geometrical optical phase on the propagation of Hermite-Gaussian beams through transversal and parallel dielectric blocks
• Angular deviations: From a cubic equation to a universal closed formula to determine the peak position of reflected and (upper) transmitted beams
• The quaternionic Goos-Haenchen shift