38 citations · 38 across the 2 of their papers we have counts for
3 papers
math.CA2020
Elliptic umbilic representations connected with the caustic
E. G. Abramochkin, E. V. Razueva
We investigate the elliptic umbilic canonical integral with an approach based on a series expansion of its initial distribution shifted to the caustic points. An absolutely converg…
physics.optics2020★ 38 cited
Fine structure of perturbed Laguerre-Gaussian beams: Hermite-Gaussian mode spectra and topological charge
A. Volyar, E. Abramochkin, Yu. Egorov +2
We found that small perturbations of the optical vortex core in the Laguerre-Gaussian (LG) beams generate a fine structure of the Hermite-Gauss (HG) mode spectrum. Such perturbatio…
math.CA2017
Higher Derivatives of Airy Functions and of their Products
Eugeny G. Abramochkin, Evgeniya V. Razueva
The problem of evaluation of higher derivatives of Airy functions in a closed form is investigated. General expressions for the polynomials which have arisen in explicit formulae f…