The use of the stationary phase method as a mathematical tool to determine the path of optical beams

Abstract

We use the stationary phase method to determine the path of optical beams which propagate through a dielectric block. In the presence of partial internal reflection, we recover the geometrical result obtained by using the Snell law. For total internal reflection, the stationary phase method overreaches the Snell law predicting the Goos-Haenchen shift.

11 pages, 2 figures

References in corpus (2)

• Goos-Hänchen and Imbert-Fedorov beam shifts: An overview
• The evolution of free wave packets

Cited by in corpus (9)

• The oscillatory behavior of light in the composite Goos-Haenchen shift
• 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
• Experimental evidence of laser power oscillations induced by the relative Fresnel (Goos-Haenchen) phase
• Experimental confirmation of the transversal symmetry breaking in laser profiles
• 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