Maximal breaking of symmetry at critical angle and closed form expression for angular deviations of the Snell law

Abstract

A detailed analysis of the propagation of laser gaussian beams at critical angles shows in which conditions it is possible to maximize the breaking of symmetry in the angular distribution and for which values of the laser wavelength and beam waist is possible to find an analytic formula for angular deviations of the Snell law. For propagation throughout $N$ dielectric blocks and for a full breaking of symmetry, overcoming the well known problem of the infinity at critical angle, a closed expression for the Goos-Haenchen shift is obtained. The multiple peaks phenomenon clearly represents an additional evidence of the breaking of symmetry in the angular distribution of optical beams. Finally, laser wavelength and beam waist conditions to produce focal effects in the outgoing beam are also briefly discussed.

arXiv comment18 pages, 2 tables, 6 figures

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Cited by in corpus (14)

• Weak measurement og the composite Goo-Haenchen shift in the critical region
• The oscillatory behavior of light in the composite Goos-Haenchen shift
• Axial dependence of optical weak measurements in the critical region
• Lateral shifts and angular deviations of Gaussian optical beams reflected by and transmitted through dielectric blocks: A tutorial review
• Optimizing weak measurements to detect angular deviations
• Incidence angles maximizing the Goos-Haenchen shift in seismic data analysis
• Experimental evidence of laser power oscillations induced by the relative Fresnel (Goos-Haenchen) phase
• 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
• Optimizing power oscillations in an ellipsometric system
• Optical weak measurements without removing the Goos-Haenchen phase
• 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