Optimization of Transverse Gradient Coils with Coaxial Return Paths by Simulated Annealing

Buszko, Marian L.; Kempka, M.; Szcześniak, E.; Wang, D.C.; Andrew, E.R.

doi:10.1006/jmrb.1996.0133

Cited by 21 publications

(14 citation statements)

References 1 publication

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“…Here, k is the Boltzmann constant, T i the temperature of the system in thermal equilibrium, and ⌬E ϭ E i Ϫ E 0 . Arrangements with ⌬E Ͻ 0 are always accepted while arrangements with ⌬E Ͼ 0 are accepted with probability P i , which depends on T i at step i (13)(14)(15)(16).…”

Section: Methods and Numerical Resultsmentioning

confidence: 99%

“…Several authors (13)(14)(15)(16) have obtained SA-optimized shielded coils adding m extra degrees of freedom into the annealing algorithm, to null the magnetic field outside the shielding coil. This increases the computing time for each annealing step and also the number of steps needed to reach the local minimum of E.…”

Section: Longitudinalmentioning

confidence: 99%

“…Recently another method, called simulated annealing (SA), has been successfully employed for developing longitudinal and transverse gradient coils with cylindrical (13)(14)(15)(16) and planar (17) geometries of restricted length. This method, introduced by Metropolis et al (18), was applied to a great diversity of problems where the arrangement of elements in a large scale can be done by simulating the way in which a metal slowly cools to a minimum energy state.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fast Optimization of a Biplanar Gradient Coil Set

Tomasi

Caparelli

Panepucci

et al. 1999

Journal of Magnetic Resonance

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Section: Methods and Numerical Resultsmentioning

confidence: 99%

Section: Longitudinalmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fast Optimization of a Biplanar Gradient Coil Set

Tomasi

Caparelli

Panepucci

et al. 1999

Journal of Magnetic Resonance

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“…Figure 3 shows the stream function plot using the piecewise power function method and its fixed control points (circled points), which determine the shape of the stream function. As the piecewise power function has very few control points, simulated annealing becomes easier and faster (11,21). However, the functional form of the stream function can limit the range of potential solutions.…”

Section: Methodsmentioning

confidence: 99%

Local bi‐planar gradient array design using conformal mapping and simulated annealing

Moon

Goodrich

Hadley

et al. 2009

Concepts Magn Reson

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Many magnetic resonance imaging applications require high spatial and temporal resolution. The improved gradient performance required to achieve high spatial and temporal resolution may be achieved by using local gradient coils such as planar gradient inserts. The planar gradient set provides higher gradient performance because it is placed inside of the imaging bore of the magnet (within the body gradients) in close proximity to the imaging region. Although the wire patterns for planar gradients can be designed using two dimensional stream functions and simulated annealing, optimization of the two dimensional stream functions can be much more computationally intensive and time consuming than optimizing the one dimensional stream functions required for cylindrical gradients. To address this problem, we have developed a simple and rapid method for the design of planar gradient inserts to produce a high strength local gradient field and a reasonably uniform imaging region. By using conformal mapping, the two dimensional problem can be simplified to a faster and more easily calculated one dimensional problem. The mapping transforms the magnetic field and wire patterns in the cylindrical system into a magnetic field and wire patterns in the bi-planar geometry providing a tool for bi-planar gradient coil design using a one dimensional stream function.

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“…It combines the simulated annealing (SA) [11][12][13][14] and the target field (TF) [3][4]15] techniques to optimize the standard stream functions used to design gradient coils. Compared to standard approaches, this method results in coil with lower inductance that produce larger volumes of gradient field uniformity [9].…”

Section: Introductionmentioning

confidence: 99%

Optimization of biplanar gradient coils for magnetic resonance imaging

Tomasi

2006

Braz. J. Phys.

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"Open" magnetic resonance imaging (MRI) scanners are frequently based on electromagnets or permanent magnets, and require self-shielded planar gradient coils to prevent image artifacts resulting from eddy currents in metallic parts of the scanner. This work presents an optimization method for the development of self-shielded gradient coils with biplanar geometry for "Open" MRI scanners. Compared to other optimization methods, this simple approach results in coils that produce larger uniform gradient volumes, and have simple and scalable manufacture.

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Optimization of Transverse Gradient Coils with Coaxial Return Paths by Simulated Annealing

Cited by 21 publications

References 1 publication

Fast Optimization of a Biplanar Gradient Coil Set

Fast Optimization of a Biplanar Gradient Coil Set

Local bi‐planar gradient array design using conformal mapping and simulated annealing

Optimization of biplanar gradient coils for magnetic resonance imaging

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