Tangential vector finite elements for electromagnetic field computation

Lee, J.F.; Sun, Din; Cendes, Z.J.

doi:10.1109/20.104986

Cited by 150 publications

(56 citation statements)

References 6 publications

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“…1(A)]. Employing the finite element method (16) and adaptive meshing, HFSS solves Maxwell's equations with given boundary conditions in the frequency domain (19,20). Calculations are performed for sinusoidal steady-state fields, and a complex phasor representation (denoted by a script font) is used for the representation of electric and magnetic field quantities, such as…”

Section: B 1 Field Calculationsmentioning

confidence: 99%

Reengineered helmet coil for human brain studies at 3 Tesla

Driesel

Merkle

Hetzer

et al. 2005

Concepts Magn. Reson.

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ABSTRACT:We describe the further development of a circularly polarized helmet coil for magnetic resonance imaging (MRI) of the human brain at 3 T. The coil is used in transmit and receive (transceive) mode, a useful alternative over commercially available quadrature headcoils with scanners where phased arrays are unavailable. The coil is simple to build. Its structure is based on an assembly of two coplanar dual-loop coils of the split-circle design, which are arranged in crossed fashion. Both coils circumscribe dome-like the human head. Because of the symmetry of the assembly, a high degree of circularly polarized radiofrequency (RF) is obtained within the brain. Bench and in situ measurements of the RF magnetic field, B 1 , indicated good axial homogeneity and a moderate gradient along the symmetry axis. Compared to a commercial birdcage coil, the signal-to-noise ratio was increased up to a factor of 1.7 as a result of its superior filling factor. Initial applications in healthy volunteers included anatomical MRI and functional imaging with a cognitive paradigm.

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Section: B 1 Field Calculationsmentioning

confidence: 99%

Reengineered helmet coil for human brain studies at 3 Tesla

Driesel

Merkle

Hetzer

et al. 2005

Concepts Magn. Reson.

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“…The coefficients in (1) can be determined in various ways and this leads to different kinds of elements [3]- [7]. Some of these elements are considered in our study.…”

Section: A Some Kinds Of 2nd Order Edge Elementsmentioning

confidence: 99%

“…Further investigation has been carried out in recent years by different researchers. Different high order edge elements were developed [3]- [7]. These are mostly applied in the high frequency domain.…”

Section: Introductionmentioning

confidence: 99%

Solving 3D eddy current problems using second order nodal and edge elements

Ren¹,

Ida

2000

IEEE Trans. Magn.

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Abstract-Several 2nd order nodal and edge elements have been applied in a potential formulation to solve 3D eddy current problems. The asymmetry of the facet related functions in the edge element basis is discussed. A new basis is proposed. Application of a gauge condition for the uniqueness of vector potential is cumbersome in the case of high order elements. This work shows that the system converges without explicit gauge condition when using the bi-conjugate gradient method. The performance of different elements is compared through an example.Index Terms-Eddy currents, finite element modeling, second order edge elements.

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“…The coefficients of polynomials in the above expressions must be determined in order that the functions are linearly independent and model correctly the null and range spaces of the differential operator on each simplex. The coefficients can be determined in various ways and this leads to different types of elements [5]- [10].…”

Section: -Form Element (Volume Element)mentioning

confidence: 99%

“…Further investigation has been carried out in recent years by different researchers [5]- [10]. Most of those works focus on the high order edge element.…”

Section: Introductionmentioning

confidence: 99%