Displaying similar documents to “A novel approach to the evaluation of interface roughness scattering form factor in intersubband transitions”

Overview of Drude-Lorentz type models and their applications

Paolo Di Sia (2014)

Nanoscale Systems: Mathematical Modeling, Theory and Applications

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This paper presents an overview of mathematical models for a better understanding of mechanical processes, as well as dynamics, at the nanoscale. After a short introduction related to semi-empirical and ab initio formulations, molecular dynamics simulations, atomic-scale finite element method, multiscale computational methods, the paper focuses on the Drude-Lorentz type models for the study of dynamics, considering the results of a recently appeared generalization of them for the nanoscale...

Inverse Scattering for Waveguides

Hiroshi Isozaki, Yaroslav Kurylev, Matti Lassas (2006-2007)

Séminaire de théorie spectrale et géométrie

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We study the inverse scattering problem for a waveguide ( M , g ) with cylindrical ends, M = M c ∪ ∪ α = 1 N ( Ω α × ( 0 , ∞ ) ) , where each Ω α × ( 0 , ∞ ) has a product type metric. We prove, that the physical scattering matrix, measured on just one of these ends, determines ( M , g ) up to an isometry.

Transmission-line laser modeling of carrier diffusion in VCSEL

Vladimir Gerasik, Jacek Miloszewski, Marek S. Wartak (2014)

Nanoscale Systems: Mathematical Modeling, Theory and Applications

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The transmission-line laser model (TLLM) is an equivalent-circuit model which provides stable and explicit matrix routines for the solution of the laser rate equations. The application of TLLM method to the analysis of a vertical-cavity surface-emitting laser (VCSEL) requires certain modifications. The theoretical basis of the model is considered, including space discretization of the inhomogeneous VCSEL cavity so that it yields the synchronization condition. The main attention is paid...

Microlocalization of resonant states and estimates of the residue of the scattering amplitude

Jean-François Bony, Laurent Michel (2003)

Journées équations aux dérivées partielles

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We obtain some microlocal estimates of the resonant states associated to a resonance z 0 of an h -differential operator. More precisely, we show that the normalized resonant states are 𝒪 ( | Im z 0 | / h + h ∞ ) outside the set of trapped trajectories and are 𝒪 ( h ∞ ) in the incoming area of the phase space. As an application, we show that the residue of the scattering amplitude of a Schrödinger operator is small in some directions under an estimate of the norm of the spectral projector. Finally we prove...