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Optimized simultaneous generation of dual-wavelength phase and polarization singularities [PDF]

Scientific Reports
Optical singularities have gained significant importance for their unique phase and polarization properties, leading to their versatile applications in optical communication, imaging, and information processing.
Kushal Kumar Tripathi, Laxminarayan, Sudheesh K. Rajput, Yasuhiro Awatsuji, Praveen Kumar   +4 more
doaj   +2 more sources

Some Spectral Properties of Schrödinger Operators on Semi Axis

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
The main aim of this work is to investigate some spectral properties of Schrödinger operators on semi axis. We first present the Schrödinger equation with a piecewise continuous potential function q so that the problem differs from the classical ...
İbrahim Erdal
doaj   +1 more source

Engineering Higgs dynamics by spectral singularities

Physical Review Research, 2023
We generalize the dynamical phase diagram of a Bardeen-Cooper-Schrieffer condensate, considering attractive to repulsive, i.e., critical quenches (CQs) and a nonconstant density of states (DOS).
H. P. Ojeda Collado, Nicolò Defenu, José Lorenzana   +2 more
doaj   +1 more source

On the Spectrum of the Non-Selfadjoint Differential Operator with an Integral Boundary Condition and Negative Weight Function

Universal Journal of Mathematics and Applications, 2023
In this paper, we shall study the spectral properties of the non-selfadjoint operator in the space $L_{\varrho }^{2}\left(\mathbb{R}_{+}\right) $ generated by the Sturm-Liouville differential equation \begin{equation*} -y^{^{\prime \prime }}+q\left( x ...
Nimet Coskun, Merve Görgülü
doaj   +1 more source

Topological phase singularities in atomically thin high-refractive-index materials

Nature Communications, 2022
The authors combine films of two-dimensional semiconductors, which exhibit excitonic spectral features, with SiO2/Si Fabry-Perot resonators in order to realize topological phase singularities in reflection.
Georgy Ermolaev, Kirill Voronin, Denis G. Baranov, Vasyl Kravets, Gleb Tselikov, Yury Stebunov, Dmitry Yakubovsky, Sergey Novikov, Andrey Vyshnevyy, Arslan Mazitov, Ivan Kruglov, Sergey Zhukov, Roman Romanov, Andrey M. Markeev, Aleksey Arsenin, Kostya S. Novoselov, Alexander N. Grigorenko, Valentyn Volkov   +17 more
doaj   +1 more source

Rigorous reconstruction of gluon propagator in the presence of complex singularities

SciPost Physics Proceedings, 2022
It has been suggested that the Landau-gauge gluon propagator has complex singularities, which invalidates the K\"all\'en-Lehmann spectral representation.
Yui Hayashi, Kei-Ichi Kondo
doaj   +1 more source

Limit spectral distribution for non-degenerate hypersurface singularities

Comptes Rendus. Mathématique, 2022
We establish Kyoji Saito’s continuous limit distribution for the spectrum of Newton non-degenerate hypersurface singularities. Investigating Saito’s notion of dominant value in the case of irreducible plane curve singularities, we find that the log ...
Almirón, Patricio, Schulze, Mathias
doaj   +1 more source

Direct and Inverse Problems of Spectral Analysis for Arbitrary-Order Differential Operators with Nonintegrable Regular Singularities

Современная математика: Фундаментальные направления, 2021
A short review is presented of results on the spectral theory of arbitrary order ordinary differential operators with non-integrable regular singularities.
V. A. Yurko
doaj   +1 more source

Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In this paper, we consider the discrete Sturm-Liouville operator generated by second order difference equation with non-selfadjoint operator coefficient.
Esra Kır Arpat, Gökhan Mutlu
doaj   +1 more source

Spectral properties of an impulsive Sturm–Liouville operator

Journal of Inequalities and Applications, 2018
This work is devoted to discuss some spectral properties and the scattering function of the impulsive operator generated by the Sturm–Liouville equation.
Elgiz Bairamov, Ibrahim Erdal, Seyhmus Yardimci   +2 more
doaj   +1 more source