5 citations · 6 across the 7 of their papers we have counts for
13 papers
Functional Ordinary Differential Equations and the Design of Dichromatic Lenses
Mohammad Tarek Al Masri, Stéphane Najjar, Ahmad Sabra +2
This paper establishes an existence and uniqueness theorem for a class of functional ordinary differential equations under assumptions weaker than those found in the literature. We…
The non-convex planar Least Gradient Problem
Samer Dweik, Piotr Rybka, Ahmad Sabra
We study the least gradient problem in bounded regions with Lipschitz boundary in the plane. We provide a set of conditions for the existence of solutions in non-convex simply conn…
Inverse problems with hybrid lenses
I. Amro, F. Fneish, R. Kansoh +2
We design lenses composed of a combination of standard freeform refracting surface and flat metasurface refracting an arbitrary incident field into a collimated beam with a fixed d…
Generalized Snell's law and Maxwell equations
Cristian E. Gutiérrez, Ahmad Sabra
This paper examines the Maxwell system of electrodynamics within the framework of distributions. A primary objective is to establish boundary conditions for fields at interfaces wh…
The planar Least Gradient problem in convex domains: the discontinuous case
Piotr Rybka, Ahmad Sabra
We study the two dimensional least gradient problem in convex polygonal sets in the plane, . We show the existence of solutions when the boundary data are attained in the tr…
The planar Least Gradient problem in convex domains, the case of continuous datum
Piotr Rybka, Ahmad Sabra
We study the two dimensional least gradient problem in a convex polygonal set in the plane. We show existence of solutions when the boundary data are attained in the trace sense. D…