The phase problem solving by the use of optical correlation algorithm for reconstructing phase skeleton of complex optical fields

Abstract

We propose an optical correlation algorithm for reconstructing the phase skeleton of complex optical fields from the measured two-dimensional intensity distribution. The essence of the algorithm consists in location of the saddle points of the intensity distribution and connecting such points into nets by the lines of intensity gradient that are closely associated with the equi-phase lines of the field. This algorithm provides a new partial solution to the inverse problem in optics commonly referred to as the phase problem.

Correlation optics within the framework of the correlation optics conference at the base of Chernivtsi National University

“…The results have manifested itself as two thematic issues in the journal "Frontiers in Physics" focusing on research topics, namely "Correlation and Singular Optics" 1 and "Lowdimensional structures, nanoparticles, and optical measurements." 2 The editorial teams for each Topic formed during the 14 th Correlation Optics conference cooperation, e.g. Topic Correlation and Singular Optics (Editors -Oleg Angelsky, Oleksandr Bekshaev, Steen Hanson, Igor Mokhun, Mikhail Vasnetsov, Wei Wang) and Topic Low-dimensional structures, nanoparticles, and optical measurements (Editors -Claudia Zenkova, Igor Mokhun, Steen Hanson, Oleg Angelsky), with selecting and reviewing scientific papers.…”

“…The indicator of growing popularity of the discussed topic and the contribution to this growth is the fact that the scientific journal "Photonics" published by Jade University plans to dedicate one of its upcoming special issues to "Correlation Optics" (https://www.mdpi.com/journal/photonics/special_issues/151L6A0DAE). This special issue will cover a range of topics closely related to our research focus [1][2][3][4][12][13][14][15][16][17][18] , which is presented in 15 proceedings (SPIE Proceedings), three special issues of the journal "Applied Optics", special issue of scientific journal Advanced in Optical Technologies named "Correlation Optics" and four scientific collective monographs based on the results of the "Correlation Optics" scientific conference since 1991.…”

“…Formed scientific directions and schools embrace new and modern optical application including surface diagnostics, new metamaterials, development of optical tweezers, 3D polarization, biomedical application. The results, presented during the Conferences, published in the special issues of Proceeding of SPIE [1][2][3] , and then they become the object of study and further development, the interest of scientists and editorial boards around the world. It should be remembered and the special issue of Optical Engineering 4 (Optics in Ukraine), issued in 1995 and dedicated to the results of the conference.…”

Extraordinary Manifestation of Evanescent Wave in Biomedical Application

“…Recent works [1,[6][7][8][9][10][11][12] are devoted to the study of the action of the transverse component of the optical force on micro and nanoobjects, in which-in particular-the possibilities for controlling and manipulating micro-objects of biological origin are described [8][9][10]13]. In this connection, evanescent waves are of particular interest, as they are confined in a thin layer propagate along the surface and are able to transmit their own angular momentum to the nano-objects localized on the surface, thus setting a certain direction of their displacement.…”

Controlling and manipulation of red blood cells by evanescent waves

“…At present, a set of techniques is available for manipulation of biological objects and microparticles using physical nature tweezers, by transfer of the linear momentum from a photon. Transfer of the linear momentum from light to particles depends on the optical properties of the controlled microparticles and on the phase distribution [7][8][9][10] and polarization [11][12][13] of the probing beam.…”