Topic
Transverse plane
About: Transverse plane is a research topic. Over the lifetime, 17069 publications have been published within this topic receiving 194059 citations. The topic is also known as: axial plane.
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TL;DR: In this paper, the authors present a model to predict the longitudinal and two orthogonal transverse strain components from measured wavelength shifts of the Bragg peaks observed in combined loading tests.
Abstract: The principle of operation of a multi-parameter dual Bragg grating fiber optic sensor formed in a polarization maintaining fiber is described. The response of the sensor to separately applied longitudinal loading, transverse loading and temperature change is presented in terms of wavelength shifts of the Bragg peaks. Results of those tests are used as sensor calibration data. A model to predict the longitudinal and two orthogonal transverse strain components from measured wavelength shifts of the Bragg peaks observed in combined loading tests is described. The model is based on an assumed linear behavior between wavelength shifts and sensor loadings and uses the calibration data as input. Predictions of transverse strain are compared with applied strains in the combined loading tests and found to be inadequate for transverse strain components. A model for predicting strains is then developed to account for non-linearities between transverse loading and wavelength shifts observed in sensor calibration data. Predictions of longitudinal strain and both transverse strain components from measured wavelength shifts in combined loading are seen to be in excellent agreement with applied test strains.
78 citations
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TL;DR: In this article, a higher-order shear-deformable beam model is proposed, which is based on a higher order displacement model and incorporates linear and quadratic variation of transverse normal strain and transverse shearing strain through the beam thickness.
78 citations
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TL;DR: In this article, the spatial distribution of channelled ions in the transverse plane is studied theoretically using models based on the continuum approximation and confirmed by computer simulation, and various simplifications are introduced which take advantage of the symmetry about either the atomic rows or the mid channel axes.
Abstract: The spatial distribution of channelled ions in the transverse plane is studied theoretically using models based on the continuum approximation and confirmed by computer simulation. The variation of the flux across the crystal channels is found to be quite pronounced. In particular the averaged flux at the centre of the channel can be as high as 4 or 5 times normal under experimentally attainable conditions or, due to the oscillatory nature of channelled trajectories, even greater at certain fixed depths. The dependence of the maximum flux on the multiple scattering and the channel geometry is examined in detail. A general expression for the flux at any point in the transverse plane is derived, and various simplifications are introduced which take advantage of the symmetry about either the atomic rows or the mid-channel axes. Both the ideal situation as well as perturbations due to misalignment and multiple scattering are treated. The results have a direct application to any channelling experiment...
78 citations
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TL;DR: In this paper, a theoretical study of transverse self-phase modulation effects in the transmission of a laser beam through a nonlinear thin film is presented, where the occurrence of interference rings, intensification or dimming of the on-axis beam intensity, and transverse optical bistability in the presence of a feedback are systematically documented in terms of geometrical/optical parameter classifications.
Abstract: We present a theoretical study, with reference to experimental results, of transverse self-phase modulation effects in the transmission of a laser beam through a nonlinear thin film. The occurrence of interference rings, intensification or dimming of the on-axis beam intensity, and transverse optical bistability in the presence of a feedback can all be systematically documented in terms of geometrical/optical parameter classifications. These studies provide further insights and useful guides for experimental studies.
77 citations
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TL;DR: In this article, the authors investigated the stability and instability of magnetic field-aligned electron current and transverse electric field in the presence of a transverse velocity shear and showed that in contrast to the homogeneous case of current-driven modes, the modes can be unstable in a wider range of temperature ratio τ and they are broadband in frequency.
Abstract: Electrostatic fluctuations driven by the combination of a magnetic‐field‐aligned electron current and a localized transverse electric field are investigated. Characteristic parameters, such as scale length and magnitude of the sheared E×B velocity, magnitude of the magnetic‐field‐aligned current, and temperature ratio τ≡Ti/Te are varied to include conditions associated with electrostatic waves driven entirely by magnetic‐field‐aligned current, driven entirely by transverse electric field, and driven by a combination of magnetic‐field‐aligned current and transverse electric field. It is shown that, in contrast to the homogeneous case of current‐driven modes, the modes in the presence of a transverse‐velocity shear can be unstable in a wider range of temperature ratio τ and they are broadband in frequency. Using a simplified model, numerical solutions of the nonlocal dispersion relation, and physical arguments, cases of stabilization and destabilization due to the inhomogeneous energy‐density driven instabi...
77 citations