Concept

Periodic function

Related publications (125)

Glass patterns in the superposition of random line gratings

Moire effects ('Glass patterns') that occur in the superposition of correlated random layers have long been studied. However, only little is known of Glass patterns which occur in the 1D random case: namely, when the superposed layers consist of random lin ...

IOP Publishing2003

Sampling of Periodic Signals: A Quantitative Error Analysis

Michaël Unser, Thierry Blu, Mathews Jacob

We present an exact expression for the

L _{ 2 }

error that occurs when one approximates a periodic signal in a basis of shifted and scaled versions of a generating function. This formulation is applicable to a wide variety of linear approximation schem ...

IEEE2002

3D elastic-plastic finite element simulation of cold pilgering of zircaloy tubes

Roland Logé

In cold pilgering of tubes, a material element undergoes a series of small incremental deformations (≈100 strokes), alternatively under tensile and compressive stresses. This complex history sometimes results in surface damage, seemingly by low-cycle fatig ...

2002

Molecular Dynamics Study of the Incommensurate Phase in Hexamethylenetetramine Suberate

Gervais Chapuis, David Brown

Incommensurate structure of Hexamethylenetetramine suberate (C6H12N4)(HOOC-(CH2)6-COOH) has been solved from single crystal x-ray diffraction data. A molecular dynamics simulation of this system was carried out from 15 K to 580K. A second-generation consis ...

2002

Neutral beam stabilization of sawtooth oscillations in JET

Olivier Sauter, Antoine Pochelon

Recent experiments in the Joint European Torus (JET) have provided evidence of sawtooth stabilization by fast ions arising from deuterium neutral beam injection (NBI). A possible theoretical basis for the interpretation of the observed sawtooth period beha ...

2002

Analysis of ion cyclotron heating and current drive at omega approximate to 2 omega(cH) for sawtooth control in JET plasmas

Olivier Sauter

Ion cyclotron heating and current drive at omega approximate to 2omega(cH) in JET deuterium plasmas with a hydrogen concentration n(H)/(n(D)+n(H)) in the range of 5-15% are analysed, comparing results of numerical computer modelling with experiments. Secon ...

2002

Control of neoclassical tearing modes by sawtooth control

Olivier Sauter

The onset of a neoclassical tearing mode (NTM) depends on the existence of a large enough seed island. It is shown in the Joint European Torus that NTMs can be readily destabilized by long-period sawteeth, such as obtained by sawtooth stabilization from io ...

2002

Plasma shape effects on sawtooth/internal kink stability and plasma shaping using electron cyclotron wave current profile tailoring in TCV

Olivier Sauter, Timothy Goodman, Ivo Furno, Holger Reimerdes, Antoine Pochelon, Roland Behn, Andrei Martynov, Petri Nikkola

The effect of plasma shaping (triangularity and elongation) on sawtooth stability is addressed as well as the technique of current profile broadening using off-axis ECH to enlarge the operational range towards higher elongations. The plasma shape strongly ...

2001

Water wave-driven seepage in marine sediments

David Andrew Barry

The action of water waves moving over a porous seabed drives a seepage flux into and out of the marine sediments. The volume of fluid exchange per wave cycle may affect the rate of contaminant transport in the sediments. In this paper, the dynamic response ...

2001

Poloidally asymmetric plasma response with ECH deposition near q=1 in TCV

Olivier Sauter, Timothy Goodman, Jean-Philippe Hogge, Antoine Pochelon

A small component of ECCD exists when heating off-axis with no toroidal injection due to the field helicity. The sign of the ECCD will change depending on the absorption location in a poloidal plane, the beam injection relative to delB(vac), and the direct ...

2001

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Sampling of Periodic Signals: A Quantitative Error Analysis

Michaël Unser, Thierry Blu, Mathews Jacob

We present an exact expression for the

L _{ 2 }

IEEE2002