Search results for "DOMAIN"

showing 10 items of 2485 documents

Sub-wavelength imaging of light confinement and propagation in SOI based photonic crystal devices

2006

A light source is coupled into photonic crystal devices and a near field optical probe is used to observe the electromagnetic field propagation and distribution at a sub-wavelength scale. Bloch modes are clearly observed.

Electromagnetic fieldMaterials sciencebusiness.industryPhotonic integrated circuitNear-field opticsFinite-difference time-domain methodPhysics::OpticsSilicon on insulatorNear and far fieldOpticsOptoelectronicsNear-field scanning optical microscopebusinessPhotonic crystal
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A Smoothed Particle Interpolation Scheme for Transient Electromagnetic Simulation

2006

In this paper, the fundamentals of a mesh-free particle numerical method for electromagnetic transient simulation are presented. The smoothed particle interpolation methodology is used by considering the particles as interpolation points in which the electromagnetic field components are computed. The particles can be arbitrarily placed in the problem domain: No regular grid, nor connectivity laws among the particles, have to be initially stated. Thus, the particles can be thickened only in distinct confined areas, where the electromagnetic field rapidly varies or in those regions in which objects of complex shape have to be simulated. Maxwell’s equations with the assigned boundary and initi…

Electromagnetic fieldPhysicsElectromagnetic (EM) transient analysiNumerical analysisMesh-free numerical techniqueSPHMathematical analysisFinite-difference time-domain methodNumerical MethodElectronic Optical and Magnetic MaterialsRegular gridsymbols.namesakeSmoothed particle interpolationSettore MAT/08 - Analisi NumericaSettore ING-IND/31 - ElettrotecnicaClassical mechanicsMaxwell's equationsElectromagnetismsymbolsParticleElectrical and Electronic EngineeringInterpolation
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Evaluation of time domain electromagnetic fields radiated by constant velocity moving particles traveling along an arbitrarily shaped cross-section w…

2012

[1] A technique for the accurate computation of the time domain electromagnetic fields radiated by a charged distribution traveling along an arbitrarily shaped waveguide region is presented. Based on the transformation (by means of the standard Fourier analysis) of the time-varying current density of the analyzed problem to the frequency domain, the resulting equivalent current is further convolved with the dyadic electric and magnetic Green’s functions. Moreover, we show that only the evaluation of the transverse magnetic modes of the structure is required for the calculation of fields radiated by particles traveling in the axial direction. Finally, frequency domain electric and magnetic f…

Electromagnetic fieldPhysicsField (physics)business.industryMathematical analysisCondensed Matter PhysicsCharged particlelaw.inventionMagnetic fieldsymbols.namesakeOpticslawFrequency domainGreen's functionsymbolsGeneral Earth and Planetary SciencesTime domainElectrical and Electronic EngineeringbusinessWaveguideRadio Science
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Generation of optical domain-wall structures from modulational instability in a bimodal fiber.

1998

We study experimentally modulational instability in a normally dispersive bimodal fiber under modal group-velocity-matching conditions. In the strong pump depletion regime, higher order sideband harmonics detected in the output spectra as well as autocorrelation measurements reveal the formation of subpicosecond domain-wall structures. Across these temporal structures the electromagnetic field distribution switches abruptly between the two transverse modes of the fiber. These structures are reminiscent of the so-called domain-wall soliton. Our results constitute therefore an experimental indication of the existence of this fundamental soliton.

Electromagnetic fieldPhysicsModulational instabilityTransverse planeOpticsDomain wall (magnetism)Sidebandbusiness.industryHarmonicsFiberSolitonbusinessMolecular physicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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Corrective meshless particle formulations for time domain Maxwell's equations

2007

AbstractIn this paper a meshless approximation of electromagnetic (EM) field functions and relative differential operators based on particle formulation is proposed. The idea is to obtain numerical solutions for EM problems by passing up the mesh generation usually required to compute derivatives, and by employing a set of particles arbitrarily placed in the problem domain. The meshless Smoothed Particle Hydrodynamics method has been reformulated for solving the time domain Maxwell's curl equations. The consistency of the discretized model is investigated and improvements in the approximation are obtained by modifying the numerical process. Corrective algorithms preserving meshless consiste…

Electromagnetic fieldRegularized meshless methodMathematical optimizationDiscretizationNumerical analysisApplied MathematicsMeshless particle methodMaxwell's equationSmoothed particle hydrodynamicsElectromagnetic transientsSmoothed-particle hydrodynamicssymbols.namesakeSettore MAT/08 - Analisi NumericaSettore ING-IND/31 - ElettrotecnicaComputational MathematicsMaxwell's equationsMaxwell's equationsMesh generationsymbolsElectromagnetic transientApplied mathematicsTime domainMathematicsJournal of Computational and Applied Mathematics
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Concepciones alternativas y dificultades de aprendizaje en electrostática : selección de cuestiones elaboradas para su detección y tratamiento

2021

The work we are presenting here tries to summarise the contributions made by research on the ideas and difficulties of students within the field of Electrostatics. These researches reveal that the concepts introduced in this domain, such as electric field and potential, are necessary prerequisites so as to acquire a scientific vision of electromagnetic phenomena. Thus, taking into account the importance of the concepts involved for a scientific vision of the circuits of continuous current and, in general, of the electromagnetic theory, we think it is important for teachers to have a first idea on which are the most problematic conceptions or at least, those that have been studied most.

Electromagnetic theoryDomain (biology)Field (Bourdieu)SociologyContinuous currentEducationEpistemology
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Optimization of the domain in elliptic variational inequalities

1988

This paper is concerned with a nonsmooth shape optimization problem for the Signorini unilateral boundary-value problem. The necessary optimality conditions are derived. The results of computations are presented.

Elliptic curveMathematical optimizationControl and OptimizationApplied MathematicsComputationVariational inequalityShape optimization problemBoundary value problemGradient methodFinite element methodDomain (mathematical analysis)MathematicsApplied Mathematics & Optimization
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Boundary accessibility and elliptic harmonic measures

1988

Suppose G is a bounded domain in R n such that the complement of G satisfies a capacity dcnsity condition. It is shown that all elliptic measures in G have a support set with Moreover, the capacity density condition cannot be removed. A nonlinear version of the result is also given.

Elliptic operatorNonlinear systemPartial differential equationBounded functionMathematical analysisBoundary (topology)Harmonic (mathematics)General MedicineDomain (mathematical analysis)Complement (set theory)MathematicsComplex Variables, Theory and Application: An International Journal
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Least energy solutions to the Dirichlet problem for the equation −D(u) = f (x, u)

2017

Let be a bounded smooth domain in RN. We prove a general existence result of least energy solutions and least energy nodal ones for the problem −u = f(x, u) in u = 0 on ∂ (P) where f is a Carathéodory function. Our result includes some previous results related to special cases of f . Finally, we propose some open questions concerning the global minima of the restriction on the Nehari manifold of the energy functional associated with (P) when the nonlinearity is of the type f(x, u) = λ|u| s−2u − μ|u| r−2u, with s, r ∈ (1, 2) and λ,μ > 0.

Elliptic problemNehari manifoldnodal solutionsublinear nonlinearity01 natural sciencesvariational methodDomain (mathematical analysis)010305 fluids & plasmasSettore MAT/05 - Analisi Matematica0103 physical sciences0101 mathematicsNehari manifoldEnergy functionalMathematicsleast energyDirichlet problemNumerical AnalysisApplied MathematicsWeak solution010102 general mathematicsMathematical analysisweak solutionFunction (mathematics)Maxima and minimaComputational MathematicsBounded functionAnalysis
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Ectopic hbox12 Expression Evoked by Histone Deacetylase Inhibition Disrupts Axial Specification of the Sea Urchin Embryo

2015

Dorsal/ventral patterning of the sea urchin embryo depends upon the establishment of a Nodal-expressing ventral organizer. Recently, we showed that spatial positioning of this organizer relies on the dorsal-specific transcription of the Hbox12 repressor. Building on these findings, we determined the influence of the epigenetic milieu on the expression of hbox12 and nodal genes. We find that Trichostatin-A, a potent and selective histone-deacetylases inhibitor, induces histone hyperacetylation in hbox12 chromatin, evoking broad ectopic expression of the gene. Transcription of nodal concomitantly drops, prejudicing dorsal/ventral polarity of the resulting larvae. Remarkably, impairing hbox12 …

Embryo NonmammalianNodal Proteinlcsh:MedicineRepressorSettore BIO/11 - Biologia MolecolareHydroxamic AcidsHistone DeacetylasesGene expressionAnimalsEpigeneticsPromoter Regions Geneticlcsh:ScienceBody PatterningHomeodomain ProteinsMultidisciplinarybiologylcsh:RGene Expression Regulation DevelopmentalAcetylationhistone deacetylase axial specification transcription repressor sea urchin embryoMolecular biologyChromatinChromatinHistone Deacetylase InhibitorsHistoneSea Urchinsbiology.proteinlcsh:QEctopic expressionHistone deacetylaseNODALResearch Article
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