Efficient Modal Decomposition of Vortex Beams via Holographically Reconstructed Phase

Abstract

We use phase-shifting digital holography to measure the amplitude and phase of twisted light. In our experiment, a spatial light modulator generates the studied vortex beams in addition to a co-propagating reference beam with a controllable relative phase. We show complex field measurements for single and superposition Laguerre Gaussian (LG) modes, demonstrate full modal decompositions into LG and orbital angular momentum (OAM) power spectral bases, provide error analysis and demonstrate high insensitivity to detector misalignment to show the robustness of the technique. This enables rapid determination of OAM spectra with low uncertainty, allowing us to report the first vortex beams with 99.9% purity.

References in corpus (4)

• Entanglement of Orbital Angular Momentum States of Photons
• Vortex knots in light
• Interface between path and OAM entanglement for high-dimensional photonic quantum information
• Identifying the tilt angle and correcting the orbital angular momentum spectrum dispersion of misaligned light beam

Cited by in corpus (15)

• Optical Vortex Braiding with Bessel Beams
• Generation and Measurement of High-order Optical Vortex via Cross-Phase
• Measurement and Shaping of Circular Airy Vortex via Cross Phase
• Hydrodynamics of noncircular vortices in beams of light and other two-dimensional fluids
• Hydrodynamics Explanation for the Splitting of Higher-charge Optical Vortices
• Amplitude Structure of Optical Vortices Determines Annihilation Dynamics
• The Anatomy of Geometric Phase for an Optical Vortex Transiting a Lens
• Quantized Optical Vortex-array Eigenstates in a Rotating Frame
• Directly measuring mode purity of single component in superposed optical vortices
• Experimental measurement of the geometric phase of non-geodesic circles
• Phase-resolved measurement of entangled states via common-path interferometry
• Trapped Vortex Dynamics Implemented in Composite Bessel Beams
• Measurement and Shaping of Perfect Optical Vortex via Cross Phase
• Digital sorting perturbed laguerre-gaussian beams by radial numbers via high order intensity moments
• One-time measurement to characterize complex amplitude single component in symmetry superposed optical vortices