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Advanced numerical and theoretical tools


10:50 Invited talk: Casimir interaction on gratings

Brahim Guizal, Mauro Antezza
Université de Montpellier (France)

We will discuss some recent numerical results on the Casimir interaction between metallic gratings. These findings pave the way to the design of a contactless quantum vacuum torsional spring, and sensors with possi- ble relevance to micro and nanomechanical devices.
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11:10 Invited talk: Full-vectorial polynomial modal method for circular waveguides. Application to reflection and diffraction at the end of radially inhomogeous cylinders.

Gerard Granet
Université Clermont Auvergne (France)

We develop a modal method for radially inhomogeneous waveguides. The formulation is derived with the two transverse components of the magnetic field. The algebraic eigensystem is solved by using Tchebycheff polynomials and a tau method.
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11:30 Invited talk: The polariton laser ridge: an exception to the rule

Christelle Brimont (1), Hassen Souissi (1), M. Gromovyi (2), T. Gueye (1), L. Doyennette (1), D. D. Solnyshkov (3), G. Malpuech (3), E. Cambril (2), S. Bouchoule (2), B. Alloing (4), S. Rennesson (4), F. Semond (4), J. Zuniga-Pérez (4), T. Guillet (1)
(1)Université de Montpellier (France) , (2)Université Paris-Saclay (France) , (3)Université Clermont Auvergne (France) , (4)CRHEA-CNRS (France)

We present an experimental study of a laser with a ridge waveguide geometry, allowing to show that the polariton laser effect can be observed only by imposing a pumping section of only 15% of the total length of the cavity. A good quantitative agreement between experimental results and simulationsis obtained. We explain how a ridge polariton laser is different from a conventional laser.
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11:50 Invited talk: A direct and an inverse domain decomposition method applied to Fourier modal method: simulation of large scale device response

Kofi Edee, Gerard Granet, Françoise Paladian, Pierre Bonnet
Institut Pascal (France)

A parallel spectral modal method is introduced for the frequency-domain Maxwell's equations. The method is applied to compute electromagnetic field through a large- scale surface, using the Aperiodic Fourier Modal Method (AFMM). In the proposed domain decomposition methods, a large-size surface is squared onto sub-cells. The spectrum of the electromagnetic field component on each sub-cell may be simulated, locally with a coast that is not dependent on the number of the sub-cells, making it suitable for parallel computing.
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12:10: An Asynchronous Co-Simulation Method for Time-Dependent Simulations: Application to a Transmission Line Network

Imane Massaoudi, Pierre Bonnet
Université Clermont Auvergne (France)

Numerical co-simulation methods are increasingly used to solve complex electromagnetic compatibility problems. For the time-dependent Maxwell-Equations, these approaches may exchange information and simulation results for each temporal iteration. In this paper, we propose an asynchronous temporal co-simulation method. The approach is illustrated on a transmission lines network. The results obtained are validated with the global simulation.
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