A volumetric finite-difference method for the design of three-dimensional, arbitrary-structured MRI gradient coil

Kang, Liyi; Xia, Ling; Wang, Qiuliang; Wang, Yaohui; Tang, Fang‐Fang; F, Liu

doi:10.1063/5.0035118

Cited by 5 publications

(2 citation statements)

References 37 publications

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“…Coil Design. A volumetric finite-difference method (FDM) was recently proposed for complex-structured gradient coil design [27]. Due to its simplicity and flexibility, this method is applied in this paper and extended for acoustic noise control.…”

Section: Matrix Equation For Finite-difference-based Gradientmentioning

confidence: 99%

Acoustic Control through Gradient Coil Design Using a Finite-Difference-Based Method for MRI

Kang

Xia

2021

Discrete Dynamics in Nature and Society

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An acoustic control scheme is proposed in this paper through the process of gradient coil design for magnetic resonance imaging (MRI). With a finite-difference-based method, the stream function and coil displacement caused by fast gradient switching can be unified by a simplified momentum equation, which can be incorporated into the conventional gradient coil design. A three-dimensional transverse gradient coil with an edge-connected cylindrical structure is used as a design example to verify the proposed design method. In addition, an acoustic model is established to simulate the sound pressure level (SPL).In the model, two hemispherical air volumes are added flush with the ends of the cylindrical main magnet to mimic the free propagation of sound waves on the boundaries. The simulation results show that by optimizing coil displacement, the overall SPL can be attenuated by 4 dB over the frequency range from 0 to 3000 Hz with the displacement reduced by about 50%, at the cost of a figure of merit (FOM) loss by about 8%. Therefore, the proposed acoustic control scheme can be used as a complement to conventional acoustic control methods for further noise reduction.

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Section: Matrix Equation For Finite-difference-based Gradientmentioning

confidence: 99%

Acoustic Control through Gradient Coil Design Using a Finite-Difference-Based Method for MRI

Kang

Xia

2021

Discrete Dynamics in Nature and Society

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“…[12,13]. In the context of gradient coil design non-triangular mesh elements have been used, as well [25,26].…”

Section: Discussionmentioning

confidence: 99%

Methods: Of Stream Functions and Thin Wires: An Intuitive Approach to Gradient Coil Design

et al. 2021

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The design of gradient coils is sometimes perceived as complex and counterintuitive. However, a current density is connected to a stream function in fact by a simple relation. Here we present an intuitive open source code collection to derive stream functions from current densities on simple surface geometries. Discrete thin wires, oriented orthogonally to the main magnetic field direction are used to describe a surface current density. An inverse problem is solved and stream functions are derived to find coil designs in the current and stream function domains. The flexibility of the design method is demonstrated by deriving gradient coil designs on several different surface topologies. This collection is primarily intended for teaching, as well as for demonstrating all gradient coil design steps with openly available software tools.

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Design method of transverse gradient coils based on nonuniform rational B‐spline (NURBS) curves

Zhu,

Song,

Liu

2024

Magnetic Resonance in Med

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PurposeTo propose a hybrid transverse gradient coil design method that leverages current density‐based methods and nonuniform rational B‐spline (NURBS) curves to optimize the performance and manufacturability of gradient coils.MethodsOur method begins by generating an initial wire configuration using a density‐based method. Then, we fit NURBS curves to the configuration, and adjust the control parameters of these curves to meet performance requirements. To ensure adequate spacing and even distribution of wires, an objective function utilizing the sigmoid function to modulate the distances between adjacent wires is constructed. Critical factors including gradient efficacy, linearity, eddy current, and torque, are incorporated as constraints. The piecewise nature of the curves provides the flexibility to independently control specific segments without impacting others.ResultsWe validated our method by designing three shielded transverse gradient coils: a whole‐body coil, an ultra‐short whole‐body coil, and an ultra‐short asymmetric head coil. The primary design objectives were to improve linearity and maintain gradient efficiency. All optimized coils demonstrated significant linearity across large diameters of spherical volumes (DSVs), while gradient efficiency, eddy currents, and torque were well‐balanced. The objective function effectively managed the wire concentrations required for high linearity, ensuring even wire arrangement and adequate spacing. We leveraged the flexibility of the curves to individually tailor wire paths for specific objectives, such as preventing interference between coils and passive shimming and accommodating wire connections and cooling circuits.ConclusionThis method provides a versatile and effective approach for designing high‐performance and manufacturable gradient coils.

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A volumetric finite-difference method for the design of three-dimensional, arbitrary-structured MRI gradient coil

Cited by 5 publications

References 37 publications

Acoustic Control through Gradient Coil Design Using a Finite-Difference-Based Method for MRI

Acoustic Control through Gradient Coil Design Using a Finite-Difference-Based Method for MRI

Methods: Of Stream Functions and Thin Wires: An Intuitive Approach to Gradient Coil Design

Design method of transverse gradient coils based on nonuniform rational B‐spline (NURBS) curves

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