Search results for "SPECTRA"

showing 10 items of 3542 documents

Collective optical resonances in networks of metallic carbon nanotubes

2013

Abstract We demonstrate that thin films of randomly oriented metallic single-walled carbon nanotubes possess optical resonances with significant dispersion. The resonances are observed in the Kretschmann configuration as minima in reflection spectra close to 400 nm and 700 nm wavelengths. The dispersions are visible only when the material is excited with s -polarized light, and most prominent in layers with thickness near 100 nm. We conclude that magnetic plasmon polaritons arising from intertube interactions are a likely explanation. Closeness of the M 11 and M 22 transition energies to the observed resonances points to a possible coupling with excitons.

Materials scienceta114business.industryExcitonmagnetic plasmonPhysics::OpticsGeneral ChemistryCarbon nanotubeMolecular physicsSpectral linelaw.inventionWavelengthReflection (mathematics)lawSurface plasmonExcited statePolaritonOptoelectronicsGeneral Materials Sciencecarbon nanotubebusinessPlasmonCarbon
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Types and Multiplicity of Solutions to Sturm–Liouville Boundary Value Problem

2015

We consider the second-order nonlinear boundary value problems (BVPs) with Sturm–Liouville boundary conditions. We define types of solutions and show that if there exist solutions of different types then there exist intermediate solutions also.

Mathematical analysisMultiplicity (mathematics)Sturm–Liouville theoryMixed boundary conditionMathematics::Spectral Theorymultiplicity of solutionsModeling and SimulationQA1-939Nonlinear boundary value problemBoundary value problemnonlinear boundary value problemSturm–Liouville problemMathematicsAnalysisMathematicsMathematical Modelling and Analysis
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A Simple Model for Ac Impedance Spectra in Bipolar Membranes

1996

A new model accounting for the ac impedance spectra of synthetic ion-exchange bipolar membranes is presented. The theoretical approach is based on the Nernst−Planck and Poisson equations and applies some of the concepts used in the semiconductor pn junctions to the case of a bipolar membrane. The results presented are the current−voltage curves and the impedance spectra at electric currents above the limiting current. It is shown that the model is able to identify the main contributions to the bipolar membrane impedance and gives valuable information about the bipolar junction structure and its influence on the characteristic parameters involved in the field-enhanced water dissociation phen…

Mathematical modelChemistrybusiness.industryGeneral EngineeringLimiting currentAnalytical chemistryMolecular physicsDissociation (chemistry)MembraneSemiconductorMembrane impedanceAc impedance spectraPhysical and Theoretical ChemistryElectric currentbusinessAstrophysics::Galaxy AstrophysicsThe Journal of Physical Chemistry
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On the Accuracy and Efficiency of Transient Spectral Element Models for Seismic Wave Problems

2016

This study concentrates on transient multiphysical wave problems for simulating seismic waves. The presented models cover the coupling between elastic wave equations in solid structures and acoustic wave equations in fluids. We focus especially on the accuracy and efficiency of the numerical solution based on higher-order discretizations. The spatial discretization is performed by the spectral element method. For time discretization we compare three different schemes. The efficiency of the higher-order time discretization schemes depends on several factors which we discuss by presenting numerical experiments with the fourth-order Runge-Kutta and the fourth-order Adams-Bashforth time-steppin…

Mathematical optimizationDiscretizationArticle Subjectseismic wavesQC1-999Spectral element methodGeneral Physics and Astronomy010103 numerical & computational mathematics010502 geochemistry & geophysics01 natural sciencesSeismic wavetransient spectral element models0101 mathematics0105 earth and related environmental sciencesMathematicsta113ta114Computer simulationSynthetic seismogramApplied MathematicsPhysicsta111Mathematical analysisAcoustic waveWave equationseismic wave problemsTransient (oscillation)Advances in Mathematical Physics
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Varadhan estimates without probability: lower bound

2007

We translate in semi-group theory our proof of Varadhan estimates for subelliptic Laplacians which was using the theory of large deviations of Wentzel-Freidlin and the Malliavin Calculus of Bismut type.

Mathematical optimizationMathematics::ProbabilityStochastic calculusApplied mathematicsLarge deviations theoryMathematics::Spectral TheoryPortfolio optimizationType (model theory)Malliavin calculusUpper and lower boundsMathematics
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Analysis of human skin hyper-spectral images by non-negative matrix factorization

2011

International audience; This article presents the use of Non-negative Matrix Factorization, a blind source separation algorithm, for the decomposition of human skin absorption spectra in its main pigments: melanin and hemoglobin. The evaluated spectra come from a Hyper-Spectral Image, which is the result of the processing of a Multi-Spectral Image by a neural network-based algorithm. The implemented source separation algorithm is based on a multiplicative coeffi cient upload. The goal is to represent a given spectrum as the weighted sum of two spectral components. The resulting weighted coefficients are used to quantify melanin and hemoglobin content in the given spectra. Results present a …

Mathematical optimization[ INFO.INFO-TS ] Computer Science [cs]/Signal and Image ProcessingAbsorption spectroscopy[INFO.INFO-TS] Computer Science [cs]/Signal and Image ProcessingMelasmaComputer sciencePhysics::Medical PhysicsPopulation[ SPI.SIGNAL ] Engineering Sciences [physics]/Signal and Image processing01 natural sciencesNon-negative Matrix FactorizationSpectral line030218 nuclear medicine & medical imagingNon-negative matrix factorizationMatrix decomposition010309 opticsBlind source separation algorithms03 medical and health sciences0302 clinical medicine[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing0103 physical sciencesSource separationmedicineMulti/Hyper-Spectral imagingeducation[SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processingeducation.field_of_studyArtificial neural networkbusiness.industrySpectrum (functional analysis)Pattern recognitionmedicine.diseaseArtificial intelligencebusiness[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processinghuman skin absorbance spectrum
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Representation and estimation of spectral reflectances using projection on PCA and wavelet bases

2008

In this article, we deal with the problem of spectral reflectance function representation and estimation in the context of multispectral imaging. Because the reconstruction of such functions is an inverse problem, slight variations in input data completely skew the expected results. Therefore, stabilizing the reconstruction process is necessary. To do this, we propose to use wavelets as basis functions, and we compare those with Fourier and PCA bases. We present the idea and compare these three methods, which belong to the class of linear models. The PCA method is training-set dependent and confirms its robustness when applied to reflectance estimation of the training sets. Fourier and wave…

Mathematical optimizationbusiness.industryGeneral Chemical EngineeringMultispectral imageHuman Factors and ErgonomicsBasis functionPattern recognitionGeneral ChemistryInverse problemsymbols.namesakeWaveletFourier transformRobustness (computer science)Principal component analysissymbolsFunction representationArtificial intelligencebusinessMathematicsColor Research & Application
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Temperature dependence of recombination radiation in semiconductor nanostructures with quantum dots containing impurity complexes

2021

Temperature dependence of the spectral intensity of recombination radiation in a quasi-zero-dimensional structure, containing impurity complexes “A++e” (a hole localized on a neutral acceptor, interacting with an electron localized in the ground state of a quantum dot), has been investigated in an external electric field in the presence of tunneling decay of a quasistationary A+-state. Probability of dissipative tunneling of a hole has been calculated in the one-instanton approximation, and the influence of tunneling decay and of an external electric field on the A+-state binding energy and on the spectra of recombination radiation, associated with the optical transition of an electron from…

Mathematics (miscellaneous)Physics and Astronomy (miscellaneous)nanorakenteetpuolijohteetMaterials Science (miscellaneous)quasi-zero-dimensional structurespectral intensity of recombination radiationimpurity complexesquantum dotslämpötilaCondensed Matter PhysicsCondensed Matter::Mesoscopic Systems and Quantum Hall Effectkvanttifysiikka
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Reconstruction from boundary measurements for less regular conductivities

2012

In this paper, following Nachman's idea and Haberman and Tataru's idea, we reconstruct $C^1$ conductivity $\gamma$ or Lipchitz conductivity $\gamma$ with small enough value of $|\nabla log\gamma|$ in a Lipschitz domain $\Omega$ from the Dirichlet-to-Neumann map $\Lambda_{\gamma}$. In the appendix the authors and R. M. Brown recover the gradient of a $C^1$-conductivity at the boundary of a Lipschitz domain from the Dirichlet-to-Neumann map $\Lambda_{\gamma}$.

Mathematics - Analysis of PDEs35R30Inverse conductivity problemCalderón problemAstrophysics::High Energy Astrophysical PhenomenaBourgain's spaceFOS: MathematicsMathematics::Analysis of PDEsDirichlet-to-Neumann mapMathematics::Spectral TheoryBoundary integral equationAnalysis of PDEs (math.AP)
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Stability estimates for the magnetic Schr\"odinger operator with partial measurements

2020

In this article, we study stability estimates when recovering magnetic fields and electric potentials in a simply connected open subset in $R^n$ with $n \geq 3$, from measurements on open subsets of its boundary. This inverse problem is associated with a magnetic Schr\"odinger operator. Our estimates are quantitative versions of the uniqueness results obtained by D. Dos Santos Ferreira, C. E. Kenig, J. Sj\"ostrand and G. Uhlmann in [13]. The moduli of continuity are of logarithmic type.

Mathematics - Analysis of PDEs35R30Mathematics::Analysis of PDEsMathematics::Spectral Theory
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