CONICET | Buscador de Institutos y Recursos Humanos

The existence of phase singularity serves to identify a set of well-defined geometrical points from the field onto a plane, corresponding to the locations where the phase is undefined and the amplitude vanishes.These singularities, known as vortices, can be identified by their topological and core structure characteristics, serving in this way as a fingerprint from the field. Optical vortices have been found to be animportant metrological tool. In our proposal, Laguerre Gauss complex transforms are used for the location of vortices in a pseudofield representation. It consists in a filtering operation in the Fourier domainincluding a Gaussian kernel and a helical phase factor. The Transform obtained in this way is a complex one where the location of the vortices can be done by a minimum mean squared error approximationwith planes of the real and imaginary parts of the pseudo-field. Usually the Gaussian kernel used in the measurements is chosen circularly symmetric, that is, with a single parameter: the width of the Gaussiankernel. We propose the use of slightly elliptical kernels. In this way we can independently change two widths of the filter, thus including in the calculation different regions of the Fourier plane. The adequateselection of the elliptical kernels parameters allows to obtain a family of vortices in arbitrarily very close locations. We show some possibilities provided by this generalization: annihilation of opposite chargedvortices can be located, identification of homologous vortices in different frames is easier, and local strains could be measured