Open AccessTopological properties of the interaction between focusing regions kind cusped
Author(s) -
G. Martínez-Niconoff,
S. I. De los Santos-García,
M. A. Torres-Rodrìguez,
R. Suarez Xique,
M Vargas-Morales,
P. Martínez Vara,
Adrián Carbajal-Domı́nguez
Publication year - 2016
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.24.014648
Subject(s) - interference (communication) , physics , topology (electrical circuits) , optics , phase (matter) , function (biology) , field (mathematics) , quadratic equation , amplitude , geometry , quantum mechanics , computer science , telecommunications , mathematics , channel (broadcasting) , combinatorics , evolutionary biology , pure mathematics , biology
We study here the cusped-cusped interaction between two kinds of Pearcey optical fields by analyzing its topological structure. We do it in two steps; the first one is an irradiance interaction that allows us to identify organization regions. The second one is an amplitude interaction, where it is shown that the interference fringes are organized around the irradiance distribution. The topological behavior of the optical field is analyzed identifying regions with different phase functions, one of them, corresponds with a catastrophe function which has associated a focusing region, the other region can be approximated by a quadratic function. The main consequence heritage from the phase structure is interference fringes emerge from focusing regions having similar features like a topological charges. We show computational and experimental results which are in very well agreement with the theoretical model.