The investigation of the peculiarities of the motion of testing nanoobjects in the inhomogeneously-polarized optical field

Method of determining the geometric phase for linearly birefringent medium

“…In the first case, polarization transformations in the system [7][8][9][10][11][12] are represented as points on the Poincaré sphere, forming a contour of polarization changes (opened or closed), and the geometric phase is determined by the relative position of these points, in particular, by the surface area bounded by the contour 2,5 . In another group of methods, the geometric (as well as the dynamic) phase leads to a shift of interference peaks, and numerically can be obtained by the magnitude of this shift 4-6. The dynamic and geometric phase constitute the total phase of the beam, which manifests itself in interference [7][8][9]12 . In some interference methods, two orthogonal states of linear input polarization are used to determine the geometric phase 4 .…”

“…In this case, two interference patterns are obtained in which the shift of the interference peaks in one case is given by the sum, and in the other case by the difference of the dynamic and geometric phases. We propose another polarizationinterference method [7][8][9]12 for determining both the dynamic and geometric phases for only one input (linear) polarization state of the incident beam. In this case, the orthogonal state of polarization occurs due to the radiation propagation in the anisotropic medium.…”

New approach for reconstruction of the 3D landscape of ultra-smooth surfaces

“…To study the structure of such surfaces, it was proposed to use carbon nanoparticles [10][11][12][13][14][15][16][17][18] with a sufficient dipole moment, and size of about 50-70 nm, significant absorption in the UV region of the spectrum and minimal absorption at a wavelength of 633 nm of He-Ne laser radiation. In this work, a method for diagnosing ultra-smooth surfaces using carbon nanoparticles is proposed, which are used to determine the height distribution of the investigated surface and restore the three-dimensional landscape of the ultra-smooth surface.…”

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

“…Solving the phase problem in optics has attracted much attention, primarily in problems of diagnostics of an object structure within microscopy, pattern recognition, terrestrial telescopy, and biomedical optics [1][2][3][4][5][6][7][8] . In general, the phase problem consists in deriving the spatial phase distribution for complex fields, including speckle fields from a measured intensity distribution.…”