Generation of optical vortex light beams by volume holograms with embedded phase singularity
arXiv:1203.6322 · doi:10.1016/j.optcom.2012.06.010
Abstract
Special features of the optical-vortex (OV) beams generated by thick holographic elements (HE) with embedded phase singularity are considered theoretically. The volume HE structure is based on the 3D pattern of interference between an OV beam and a standard reference wave with regular wavefront. The incident beam diffraction is described within the framework of a linear single-scattering model in which the volume HE is represented by a set of parallel thin layers with the "fork" holographic structure. An explicit integral expression is derived for the complex amplitude distribution of the diffracted paraxial beam with OV. The numerical analysis demonstrates that the HE thickness may essentially influence not only selectivity and efficiency of the OV beam generation but also the amplitude and phase profile of the diffracted beam as well as regularities of its propagation. We have studied the generated OV morphology and laws of its evolution; in particular, the possibility of obtaining a circularly symmetric OV beam regardless of the diffraction angle is revealed.
arXiv comment20 pages, 7 figures, submitted to Optics Communications
References in corpus (10)
- Entanglement of Orbital Angular Momentum States of Photons
- Hypergeometric-Gaussian Modes
- Paraxial Light Beams with Angular Momentum
- Optical vortices with starlight: Implications for ground-based stellar coronagraphy
- Method to measure off-axis displacements based on the analysis of the intensity distribution of a vortex beam
- Local phase structure of wave dislocation lines: twist and twirl
- Effects of misalignments in the optical vortex transformation performed by holograms with embedded phase singularity
- Universal unitary gate for single-photon spinorbit four-dimensional states
- Transformation of Optical Vortex Beams by Holograms with Embedded Phase Singularity
- Structure of optical vortices produced by holographic gratings with "fork" geometry: Kummer beams