Stereographical visualization of a polarization state using weak measurements with an optical-vortex beam

Abstract

We propose a stereographical-visualization scheme for a polarization state by two-dimensional imaging of a weak value with a single setup. The key idea is to employ Laguerre-Gaussian modes or an optical vortex beam for a probe state in weak measurement. Our scheme has the advantage that we can extract information on the polarization state from the single image in which the zero-intensity point of the optical vortex beam corresponds to a stereographic projection point of the Poincare sphere. We experimentally perform single-setup weak measurement to validate the stereographical relationship between the polarization state on the Poincare sphere and the location of the zero-intensity point.

6 pages, 4 figures

References in corpus (10)

• Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media
• Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
• The analogy between optical beam shifts and quantum weak measurements
• Topological aberration of optical vortex beams and singularimetry of dielectric interfaces
• State tomography via weak measurements
• Generalized shifts and weak values for polarization components of reflected light beams
• Weak measurements with orbital angular momentum pointer states
• Spin and Orbital Angular Momenta of Light Reflected from a Cone
• Extracting joint weak values from two-dimensional spatial displacements
• Helical mode conversion using conical reflector

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