Search results for "Fixed angle"

showing 3 items of 3 documents

Volar Fixed-Angle Plating of Distal Radius Fractures

2011

The purpose of this biomechanical study was to determine whether a multidirectional fixed-angle plate with locking screws or with locking pegs in the distal fragment would optimize fixation of Orthopaedic Trauma Association (OTA) type A3 distal radius fractures.Eight pairs of fresh-frozen human distal radii were used. Extra-articular distal radius fractures were created and stabilized with a multidirectional volar fixed-angle plate. The radii were randomized into 2 matched-paired groups. The distal fragment in Group I was stabilized with 7 locking screws. The distal fragment in Group II was fixed with 7 locking pegs. The proximal fragment in both groups was fixed with 3 screws. The specimen…

MaleBone ScrewsBone NailsBiomechanical PhenomenaFracture Fixation InternalFixation (surgical)Fixed angleCadaverFracture fixationBone plateCadaverHumansMedicineOrthopedics and Sports MedicineAgedMechanical PhenomenaAged 80 and overOrthodonticsbusiness.industryGeneral MedicineRadiusMiddle AgedBiomechanical PhenomenaProsthesis FailureEquipment Failure AnalysisFemaleSurgeryRadius FracturesbusinessCadaveric spasmBone PlatesJournal of Orthopaedic Trauma
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Fixed angle inverse scattering in the presence of a Riemannian metric

2020

We consider a fixed angle inverse scattering problem in the presence of a known Riemannian metric. First, assuming a no caustics condition, we study the direct problem by utilizing the progressing wave expansion. Under a symmetry assumption on the metric, we obtain uniqueness and stability results in the inverse scattering problem for a potential with data generated by two incident waves from opposite directions. Further, similar results are given using one measurement provided the potential also satisfies a symmetry assumption. This work extends the results of [23,24] from the Euclidean case to certain Riemannian metrics.

Mathematics - Differential GeometryWork (thermodynamics)01 natural sciencesinversio-ongelmatFixed angleMathematics - Analysis of PDEsIncident waveEuclidean geometryFOS: MathematicssirontaUniqueness0101 mathematicsinverse medium problemPhysicsosittaisdifferentiaaliyhtälöt35Q60 35J05 31B10 35R30 78A40Applied Mathematics010102 general mathematicsMathematical analysisCarleman estimatesRiemannian metricsSymmetry (physics)010101 applied mathematicsfixed angle scatteringDifferential Geometry (math.DG)Metric (mathematics)Inverse scattering problemAnalysis of PDEs (math.AP)
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Fixed Angle Inverse Scattering for Almost Symmetric or Controlled Perturbations

2020

We consider the fixed angle inverse scattering problem and show that a compactly supported potential is uniquely determined by its scattering amplitude for two opposite fixed angles. We also show that almost symmetric or horizontally controlled potentials are uniquely determined by their fixed angle scattering data. This is done by establishing an equivalence between the frequency domain and the time domain formulations of the problem, and by solving the time domain problem by extending the methods of [RS19] which adapts the ideas introduced in [BK81] and [IY01] on the use of Carleman estimates for inverse problems.

osittaisdifferentiaaliyhtälötApplied MathematicsMathematical analysisscattering amplitudePlane waveFOS: Physical sciencesplane waveMathematical Physics (math-ph)fixed angleinverse scattering01 natural sciencesinversio-ongelmat010101 applied mathematicsScattering amplitudeComputational MathematicsFixed angleMathematics - Analysis of PDEsInverse scattering problemFOS: Mathematics0101 mathematicsAnalysisMathematical PhysicsMathematicsAnalysis of PDEs (math.AP)
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