Experimental micrometer-displacement measurements based on optical vortices

Abstract

ABSTRACT:In this work, a system for measuring micrometer-displacements based on the characteristics of optical vortices is presented. In the proposal, a binary vortex-producing lens (BVPL) programmed to generate optimized optical vortices is transversally displaced from the optical axis, inducing perturbations on the optical characteristics of the vortices that are used as transduction parameters. Specifically, the method proposed theoretically by Anzolin et al. [18], which is based on the asymmetry of the intensity patterns of the off-axis optical vortices, is studied experimentally by using BVPLs. Experimental implementation is completely described and compared with theoretical results, likewise, metrological characteristics of the experimental metrological system are analyzed. Based on the results, we experimentally confirm the possibility of creating high sensitivity metrological systems by using optical vortices, opening the door for new vortex metrology techniques.Key words: Optical Vortices, Metrology, Micro-displacement. RESUMEN:En este trabajo, un sistema para medir desplazamientos micrométricos basados en las características de vórtices ópticos es presentado. En la propuesta, una lente productora de vórtices binaria (BVPL) programada para generar vórtices ópticos optimizados es desplazada transversalmente del eje óptico, induciendo perturbaciones en las características ópticas de los vórtices que son usadas como parámetros de transducción. Específicamente, el método propuesto por Anzolín et al [18], el cuál es basado en la asimetría de los patrones de intensidad de los vórtices ópticos fuera del eje, es estudiado experimentalmente usando BVPLs. Se describe completamente la implementación experimental y se compara con los resultados teóricos, así mismo, se analizan características metrológicas del sistema metrológico experimental. En base a los resultados, confirmamos experimentalmente la posibilidad de crear sistemas metrológicos de alta sensibilidad utilizando vórtices ópticos, abriendo la puerta para nuevas técnicas de metrología de vórtices.Palabras clave: Vórtices ópticos, Metrología, micro desplazamientos. REFERENCES AND LINKS / REFERENCIAS Y ENLACES[1] J. F. Nye and M. V. Berry, "Dislocations in wave trains," Proc. R. Soc. London Ser. A 336, 165-190 (1974 429-431 (1990).[10] M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phaseplate," Opt. Commun. 112, 321-327 (1994).https://doi.org/10.1016/0030-4018(94)90638-6[11] E. Rueda, D. Muñetón, J. A. Gómez, and A. Lencina, "High-quality optical vortex-beam generation by using a multilevel vortex-producing lens," Opt. Lett. 38, 3941-3944 (2013

Description of a multifocal arrangement of asymmetric Kummer-beam optical vortices

“…results in Ref. [19], for an off-axis Gaussian beam impinging onto a binary VPL, agrees with the results presented by Anzolin et al…”

“…They showed that OVs with higher topological charges tend to lose their irradiance symmetry faster than those of lower charges, meaning that higher topological charges are more sensitive to misalignments. This behavior was experimentally verified using binary VPLs [19]. Binary or discretized phase masks differ from the one proposed by Anzolin et al in that they produce multifocal arrangements with multiple OVs [22,23,25,26].…”