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20242026
most citedOptical Algorithm for Derivative of Real-Valued Functions

1 citations · 1 across the 9 of their papers we have counts for

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10 papers

quant-ph2026

Hyperentanglement in intermediate phase-space planes: benchmarking a photon-pair source for quantum key distribution

Murilo H. Magiotto, Millena B. Novaes, Wesley B. Cardoso +5

We characterize a source of photon pairs simultaneously entangled in polarization and in the transverse spatial degree of freedom, with the spatial measurements performed in interm…

nlin.PS2026

Saturable nonlinear Schrödinger equation with space- and time-dependent variable coefficients

Maurilho R. da Rocha, Mateus C. P. dos Santos, Wesley B. Cardoso

In this paper we study the dynamics and stability of localized solutions in a saturable nonlinear Schrödinger equation with space- and time-dependent variable coefficients. Using a…

cond-mat.quant-gas2025

Generalized one-dimensional nonpolynomial Schrödinger equation for Bose-Einstein condensates with generic transverse confinement

Andréia M. Basso, Wesley B. Cardoso

This work presents a dimensional reduction of Bose-Einstein condensates confined by generalized transverse potentials, parametrized by an exponent . Starting from the three-dime…

nlin.PS2025

Inducing localized solutions via interaction in a self-defocusing system with localized pumping

Wesley B. Cardoso, Mateus C. P. dos Santos

We investigate the emergence of induced localized coupled modes in passive cavities with both loss and gain. Our model is based on linearly coupled Lugiato-Lefever equations, where…

nlin.PS2024

Spontaneous symmetry breaking induced by nonlinear interaction in a coupler supported by fractional diffraction

Mateus C. P. dos Santos, Wesley B. Cardoso

In this paper we introduce a one-dimensional model of coupled fractional nonlinear Schrödinger equations with a double-well potential applied to one component. This study examines…

nlin.PS2024

Spontaneous symmetry breaking and vortices in a tri-core nonlinear fractional waveguide

Mateus C. P. dos Santos, Wesley B. Cardoso, Dmitry V. Strunin +1

We introduce a waveguiding system composed of three linearly-coupled fractional waveguides, with a triangular (prismatic) transverse structure. It may be realized as a tri-core non…

physics.optics2024★ 1 cited

Optical Algorithm for Derivative of Real-Valued Functions

Murilo H. Magiotto, Guilherme L. Zanin, Wesley B. Cardoso +2

The derivation of a function is a fundamental tool for solving problems in calculus. Consequently, the motivations for investigating physical systems capable of performing this tas…

nlin.PS2024

The Lugiato-Lefever equation driven by a double tightly focused pump

Mateus C. P. dos Santos, Shatrughna Kumar, Wesley B. Cardoso +1

We introduce a model of an optical cavity based on the one-dimensional Lugiato-Lefever (LL) equation, which includes the pump represented by a symmetric pair of tightly localized "…

physics.optics2024

Stable patterns in the Lugiato-Lefever equation with a confined vortex pump

Shatrughna Kumar, Wesley B. Cardoso, Boris A. Malomed

We introduce a model of a passive optical cavity based on a novel variety of the two-dimensional Lugiato-Lefever equation, with a localized pump carrying intrinsic vorticity S, and…

nlin.PS2024

Solitons supported by a self-defocusing trap in a fractional-diffraction waveguide

Mateus C. P. dos Santos, Boris A. Malomed, Wesley B. Cardoso

We introduce a model which gives rise to self-trapping of fundamental and higher-order localized states in a one-dimensional nonlinear Schrödinger equation with fractional diffract…