The article presents the results of numerical modeling of the scattered optical field using a parabolic mirror. It is shown that the structure of the field at the focus depends on the physical dimensions of the mirror and the polarization of the incident beam. Specifically, the study investigates three polarization modes: linear, radial, and azimuthal. The research reveals that the structure of the optical field at the focus of the parabolic mirror exhibits intriguing characteristics, including a distinct minimum intensity region. This discovery opens up practical possibilities for the precise manipulation of nanosized particles. The findings have important implications for advancing optical technologies, particularly in fields where controlling and focusing light at nanoscale dimensions are essential, such as micro- and nanotechnology, biology, and medicine.
Application of fluorescent nanoparticles for optical flow diagnostics is an essential task, as they enable the determination of the locations of phase singularities and saddle points in the field by intensity extrema1-3 . The motion of such particles in an optical field is driven by optical forces (gradient and scattering forces) and Brownian forces. However, nanoparticles with sizes smaller than 100 nm are virtually not retained even by powerful light beams, as Brownian motion predominates over optical forces. Therefore, for the investigation of optical flows, we can utilize nanoparticles embedded within polymer spheres ranging from 0.5 to 10 µm in size, which do not quench fluorescence and allow for optical manipulation. These polymer nanoparticles can be obtained by introducing fluorescent quantum dots into polymer microspheres. They are referred to as encapsulated or hybrid nanoparticles4,5 .
In this study, a new approach of surface analysis and restoration of the three-dimensional landscape of ultra-smooth surfaces is proposed. The use of carbon nanoparticles with a significant dipole moment and luminescence intensity is proposed for diagnosing the heights of surface inhomogeneities. To reproduce the profile of the studied surface, we use two successive stages of studying the surface. At the first stage, it is assumed that the electric field acts on a glass plate on which carbon nanoparticles are distributed. At the second stage, it is considered that the electric field acts on the plate, without nanoparticles. Significant luminescence of carbon nanoparticles allows visualization of the particles with subsequent reconstruction of the intensity distribution and reproduction of the surface structure according to the distribution of inhomogeneities.
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