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Journal of the Optical Society of America B

Polarization-controlled Goos–Hänchen shift by weak value amplification in total internal reflection

Soumen Mandal, Akash Das, Manik Pradhan

Published Jan 30, 2024• 7 citations
Publisher

Abstract

We report what we believe is the first experimental evidence of a polarization-controlled Goos–Hänchen (GH) shift for a fundamental Gaussian beam (633 nm) of arbitrary polarization in the vicinity of the critical angle of incidence at the glass–air interface employing a quantum weak measurement technique. Characteristics of the GH shift with different polarization angles and angles of incidence are demonstrated. The experimental findings are in good agreement with the theoretical predictions. This study establishes the critical role of the polarization states of incident light to obtain maximum amplification of a spatial GH shift. We expect that our results may open a pathway toward highly tunable GH shifts that can boost new applications in the modern optical device industry.

DOI
10.1364/josab.515145

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We report what we believe is the first experimental evidence of a polarization-controlled Goos–Hänchen (GH) shift for a fundamental Gaussian beam (633 nm) of arbitrary polarization in the vicinity of the critical angle of incidence at the glass–air interface employing a quantum weak measurement technique. Characteristics of the GH shift with different polarization angles and angles of incidence are demonstrated. The experimental findings are in good agreement with the theoretical predictions. This study establishes the critical role of the polarization states of incident light to obtain maximum amplification of a spatial GH shift. We expect that our results may open a pathway toward highly tunable GH shifts that can boost new applications in the modern optical device industry.
Abstract We report a detailed experimental demonstration of the Goos–Hänchen (GH) shift of light in total internal reflection condition for a Gaussian mode laser beam of 633 nm passing through an air-glass interface. The quantum weak measurement (QWM) technique has been exploited as a weak value amplification scheme to observe the amplified optical GH shift. The amplification of the GH shift depends on the angular deviation from the exact orthogonal position required for weak measurement. We have subsequently investigated the profiles of the beam pattern and their horizontal and vertical shifts in detail. We also show that the beam shift values obtained experimentally agree well with the theoretical results for a specific choice of angle of deviation from the orthogonal condition of weak measurement. Our results clearly demonstrate the advantages of the QWM technique for amplifying and detecting tiny optical beam shift effects and may provide important applications in precision metrology.
We report the direct experimental evidence of the Goos–Hänchen (GH) shift in monolayer molybdenum disulphide ( M o S 2 ) for a Gaussian beam via the quantum weak measurement scheme. We demonstrate the dependence of the GH shift in monolayer M o S 2 on the angle of incidence including the critical angle in the total internal reflection condition. We have also compared the results to the GH shift for single-layer graphene and plane glass–air interface. Our results may open up important applications of M o S 2 in optical devices and sensor industry.
Abstract We report on an experimental investigation of the Goos–Hänchen (GH) optical beam shift in the vicinity of the critical angle of incidence at an air–glass interface using a weak value amplification (WVA) technique for two mutually orthogonal first order Hermite–Gaussian (HG) modes (HG10 and HG01) of a light beam at 633 nm generated by a phase-only reflective spatial light modulator. We have developed a mathematical approach to visualize the beam shaping due to the WVA scheme of beam shifts for the HG modes. The study reveals the angle of incidence dependency of the GH shift in the total internal reflection condition. For both modes, a detailed study of the horizontal and transverse beam shift values with varied post-selection angles is also reported. In addition, a comparison of the beam shift values for both of the selected modes with the fundamental mode (HG00) has been demonstrated. We found a significant enhancement (about two to three times) in the beam shifts for the first order HG10 and HG01 modes compared to the fundamental mode (HG00). Our results clearly demonstrate the advantages of the HG modes of the light beam-exploiting WVA technique and thus may contribute significantly to this field and open up important applications in photonic manipulation and future technologies.
The optical analogue of quantum weak measurements has shown considerable promise for the amplification and observation of tiny optical beam shifts, namely Goos-Hänchen (GH) and Imbert-Fedorov (IF) shifts. Here, we demonstrate simultaneous weak value amplification of both the angular GH and the IF shifts in partial reflection of a fundamental Gaussian beam at planar dielectric interfaces. We employ pre and postselection schemes with appropriate linear polarization basis states for simultaneous weak measurements and amplification of both of these shifts. The experimentally observed enhancement of the beam shifts and their dependence on the angle of incidence are analyzed/interpreted via theoretical treatment of weak measurements.
The spatial and the angular variants of the Goos-Hänchen (GH) and the Imbert-Federov (IF) beam shifts contribute in a complex interrelated way to the resultant beam shift in partial reflection at planar dielectric interfaces. Here, we show that the angular GH and the two variants of the IF effects can be decoupled, amplified and separately observed by weak value amplification and subsequent conversion of spatial↔\leftrightarrow↔angular nature of the beam shifts using appropriate pre and post selection of polarization states. We experimentally demonstrate such decoupling and illustrate various other intriguing manifestations of weak measurements by employing optimized pre and post selections (based on the eigen polarization states of the shifts) elliptical and / or linear polarization basis. The demonstrated ability to amplify, controllably decouple or combine the beam shifts via weak measurements may prove to be valuable for understanding the different physical contributions of the effects and for their applications in sensing and precision metrology
The Goos-Hänchen (GH) shift refers to a lateral displacement (from the path expected from geometrical optics) along an interface in totally internal reflection. This phenomenon results from a coherence effect. In order to bring to light the role of coherence, the reflection of partially coherent light fields was investigated within the framework of the theory of coherence. A formal expression for the GH shifts of partially coherent light fields is obtained in terms of Mercer's expansion. It is shown that both the spatial coherence and the beam width have an important effect on the GH shift, especially near the critical angles (such as totally reflection angle). These results are important to observe the GH shifts of the beams with imperfect coherence, like x-ray and matter-wave beams.