3 papers
math.OC2026
Quadratic Programming over Linearly Ordered Fields: Decidability and Attainment of Optimal Solutions
Dmytro O. Plutenko
Classical existence theorems and solution methods for quadratic programming traditionally rely on the analytical properties of real numbers, specifically compactness and completene…
physics.optics2025
Generation of Perfectly Achromatic Optical Vortices Using a Compensated Tandem Twisted Nematic Cell
Dmytro O. Plutenko, Mikhail V. Vasnetsov
The generation of white optical vortices is currently constrained by intrinsic trade-offs between spectral bandwidth, conversion efficiency, and temporal pulse integrity in convent…
physics.optics2016
Optical trapping by Laguerre-Gaussian beams: Symmetries, stability and equilibria
Alexei D. Kiselev, Dmytro O. Plutenko
We use the T-matrix formalism in combination with the method of far-field matching to evaluate the optical force exerted by Laguerre-Gaussian (LG) light beams on a spherical (Mie)…