Zobrazeno 1 - 10
of 1 032
pro vyhledávání: '"P. Pierrat"'
We present a statistical study of the transmission and dwell-time matrices in disordered media composed of resonators, focusing on how frequency detuning influences their eigenvalue distributions. Our analysis reveals that the distribution of transmi
Externí odkaz:
http://arxiv.org/abs/2411.19818
We prove the convergence of layer potential operators for the harmonic transmission problem over a sequence of converging two-sided extension domains. Consequently, the Neumann-Poincar{\'e} operators, Calder{\'o}n projectors, and associated Neumann s
Externí odkaz:
http://arxiv.org/abs/2411.03767
We develop a theoretical model to investigate wave propagation in media with random time-varying properties, where temporal fluctuations lead to complex scattering dynamics. Focusing on the ensemble-averaged field, we derive an exact expression for t
Externí odkaz:
http://arxiv.org/abs/2410.18576
In the framework of the optimal wave energy absorption, we solve theoretically and numerically a parametric shape optimization problem to find the optimal distribution of absorbing material in the reflexive one defined by a characteristic function in
Externí odkaz:
http://arxiv.org/abs/2409.06292
Autor:
Nardi, Alfonso, Morandi, Andrea, Pierrat, Romain, Goetschy, Arthur, Li, Xuanchen, Scheffold, Frank, Grange, Rachel
Nonlinear disordered media uniquely combine multiple scattering and second-harmonic generation. Here, we investigate the statistical properties of the nonlinear light generated within such media. We report super-Rayleigh statistics of the second-harm
Externí odkaz:
http://arxiv.org/abs/2409.05488
Autor:
Jayamanne, J. A. Don, Outerovitch, R., Ballanger, F., Bénier, J., Blanco, E., Chauvin, C., Hereil, P., Tailleur, J., Durand, O., Pierrat, R., Carminati, R., Hervouët, A., Gandeboeuf, P., Burie, J. -R.
When a solid metal is struck, its free surface can eject fast and fine particles. Despite the many diagnostics that have been implemented to measure the mass, size, velocity or temperature of ejecta, these efforts provide only a partial picture of th
Externí odkaz:
http://arxiv.org/abs/2406.14578
We use the well-posedness of transmission problems on classes of two-sided Sobolev extension domains to give variational definitions for (boundary) layer potential operators and Neumann-Poincar{\'e} operators. These classes of domains contain Lipschi
Externí odkaz:
http://arxiv.org/abs/2403.11601
We theoretically study the propagation of light in one-dimensional space- and time-dependent disorder. The disorder is described by a fluctuating permittivity $\epsilon(x,t)$ exhibiting short-range correlations in space and time, without cross correl
Externí odkaz:
http://arxiv.org/abs/2401.02196
Upon impact, the free surface of a solid metal may eject a cloud of fast and fine particles. Photon Doppler Velocimetry (PDV) is one of the optical diagnostics used to characterize these ejecta. Although the technique provides a direct way to estimat
Externí odkaz:
http://arxiv.org/abs/2312.04256
We consider a heat transmission problem across an irregular interface -- that is, non-Lipschitz or fractal -- between two media (a hot one and a cold one). The interface is modelled as the support of a d-upper regular measure. We introduce the propri
Externí odkaz:
http://arxiv.org/abs/2312.01705