Mahran Rihani
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View article: High-temperature growth of ultra thin NbTiN films on lithium niobate for integrated single photon detection
High-temperature growth of ultra thin NbTiN films on lithium niobate for integrated single photon detection Open
Lithium niobate-on-insulator (LNOI) is an emerging photonic platform with high potential for scalable quantum information processing due to its strong second-order nonlinearity. However, little progress has been made in developing on-chip …
View article: An Optimal Control-Based Numerical Method for Scalar Transmission Problems with Sign-Changing Coefficients
An Optimal Control-Based Numerical Method for Scalar Transmission Problems with Sign-Changing Coefficients Open
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View article: Maxwell's equations with hypersingularities at a negative index material conical tip
Maxwell's equations with hypersingularities at a negative index material conical tip Open
We study a transmission problem for the time harmonic Maxwell's equations between a classical positive material and a so-called negative index material in which both the permittivity $\varepsilon$ and the permeability $μ$ take negative val…
View article: An optimal control-based numerical method for scalar transmission problems with sign-changing coefficients
An optimal control-based numerical method for scalar transmission problems with sign-changing coefficients Open
In this work, we present a new numerical method for solving the scalar transmission problem with sign-changing coefficients. In electromagnetism, such a transmission problem can occur if the domain of interest is made of a classical dielec…
View article: Homogenization of Maxwell’s equations and related scalar problems with sign-changing coefficients
Homogenization of Maxwell’s equations and related scalar problems with sign-changing coefficients Open
In this work, we are interested in the homogenization of time-harmonic Maxwell’s equations in a composite medium with periodically distributed small inclusions of a negative material. Here a negative material is a material modelled by nega…
View article: Maxwell's equations with hypersingularities at a conical plasmonic tip
Maxwell's equations with hypersingularities at a conical plasmonic tip Open
View article: Equations de Maxwell en presence de meta-materiaux
Equations de Maxwell en presence de meta-materiaux Open
The main subject of this thesis is the study of time-harmonic electromagnetic waves in a heterogeneous medium composed of a dielectric and a negative material (i.e. with a negative dielectric permittivity ε and/or a negative magnetic perme…
View article: Maxwell's equations with hypersingularities at a conical plasmonic tip
Maxwell's equations with hypersingularities at a conical plasmonic tip Open
In this work, we are interested in the analysis of time-harmonic Maxwell's equations in presence of a conical tip of a material with negative dielectric constants. When these constants belong to some critical range, the electromagnetic fie…
View article: Homogenization of Maxwell's equations and related scalar problems with sign-changing coefficients
Homogenization of Maxwell's equations and related scalar problems with sign-changing coefficients Open
View article: Waves2019 : 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. Book of Abstracts. 25.-30. August 2019, Vienna, Austria
Waves2019 : 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. Book of Abstracts. 25.-30. August 2019, Vienna, Austria Open
A nonlinear optimization method is proposed for inverse scattering problems in the frequency domain. The time-harmonic inverse medium problem is formulated as a PDE-constrained optimization problem and solved by an inexacttruncated Newton-…