2002
DOI: 10.1002/mrm.10039
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Sensitivity calculations and comparisons for shielded elliptical and circular birdcage coils

Abstract: An analytical framework is presented which justifies the use of a confocal elliptical shield (previously adopted on empirical or numerical grounds) to limit the spatial extent of the radiofrequency (RF) field produced by an elliptical birdcage coil, while concurrently minimizing field inhomogeneities. From this analytical capability it is further shown that the relative linear mode geometric sensitivities depend only on the shield dimensions and can be readily evaluated, thus providing an upper bound to the im… Show more

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Cited by 11 publications
(20 citation statements)
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“…86-93], a solution is not obtained merely by ''flattening'' the cross-section using a computer graphics program, since this procedure does not preserve angles. We are investigating a toroid of elliptical cross-section, by analogy with an elliptical birdcage [20,36], using an elliptical conformal transform based on the elliptical coordinate system [34], in which the ellipses are transformed to a rectangular system on which the field solution is obtained. Similarly, a Cassinian oval crosssection may be derived [34, pp.…”
Section: Discussion Applications and Future Directionsmentioning
confidence: 99%
“…86-93], a solution is not obtained merely by ''flattening'' the cross-section using a computer graphics program, since this procedure does not preserve angles. We are investigating a toroid of elliptical cross-section, by analogy with an elliptical birdcage [20,36], using an elliptical conformal transform based on the elliptical coordinate system [34], in which the ellipses are transformed to a rectangular system on which the field solution is obtained. Similarly, a Cassinian oval crosssection may be derived [34, pp.…”
Section: Discussion Applications and Future Directionsmentioning
confidence: 99%
“…This indicates that intervoxel mixing of polarization due to differential RF pulsing from B 1 coil homogeneity is likely to be less of an issue than changes due to localized p0 2 and 2D slice profile and diffusion effects. In future studies the use of a coil with improved B 1 homogeneity, such as a whole-body elliptical birdcage (18), would help to remove this source of error due to partial-volume mixing of gas with different RF histories. In such a case the 3D pO 2 methodology described here could be used to examine anatomical and posture-related changes in pO 2 that have been identified in the ADC (12,13).…”
Section: In Vivo Experimentsmentioning
confidence: 99%
“…The chosen rung positions allow uniform fields to be produced with (co)sinusoidal rung currents in the absence of an RF shield , or in the presence of a confocal elliptical outer shield , but not with other shapes such as the 120‐mm circular cylinder. Nonsinusoidal current distributions were, therefore, determined for the two linearly polarized modes by independently minimizing the standard deviation of the field amplitude of each mode within an elliptical region that is confocal with the coil former.…”
Section: Methodsmentioning
confidence: 99%
“…a: Rung current distributions considered for the shielded elliptical coil of Figure . The standard (co)sinusoidal distributions (dashed) would be optimal in the case of an unshielded coil or one with a confocal elliptical shield and are nearly identical to those optimized for maximal field homogeneity in the presence of the circular shield (solid); irregular patterns (thicker solid) were actually used for the prototype to test the algebraic method's ability to produce specified currents. b,c: Magnetic field homogeneity contours of the linearly polarized modes resulting from the irregular patterns in a) (2% intervals from amplitude at centre, empty coil, 2D quasi‐static field approximation).…”
Section: Methodsmentioning
confidence: 99%