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Inductance Calculation in Magnetic Resonance Solenoid Coils with Strip and Wire Conductors

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Abstract

Solenoids are employed in Magnetic Resonance (MR) as radiofrequency (RF) coils due to their high sensitivity. In particular, their cylindrical symmetry is optimal for circular cross-sectional samples. Solenoid inductance estimation is a constraint for a correct design and tuning of the resonant circuit constituting the RF coil, suitable to be used for transmitting and receiving the RF signal of the given X-nucleus with the available MR scanner. However, the different literature formulation for solenoid inductance estimation is not optimized for a wide variety of coil geometries and doesn’t take into account conductor geometry. This paper proposes an analytical method for the solenoid inductance calculation in dependence on the conductor cross-sectional geometry (flat strip and circular wire). Simulations accuracy was evaluated with workbench experimental measurement performed on a home-built strip solenoid and by comparisons with literature data referred to wire solenoids.

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Authors and Affiliations

  1. Institute of Clinical Physiology, National Research Council (CNR), Via Moruzzi 1, 56124 S. Cataldo, Pisa, Italy

    Giulio Giovannetti

  2. Fondazione G. Monasterio CNR/Regione Toscana, Pisa, Italy

    Francesca Frijia

Authors
  1. Giulio Giovannetti
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  2. Francesca Frijia
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Correspondence to Giulio Giovannetti.

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Giovannetti, G., Frijia, F. Inductance Calculation in Magnetic Resonance Solenoid Coils with Strip and Wire Conductors. Appl Magn Reson 51, 703–710 (2020). https://doi.org/10.1007/s00723-020-01230-0

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  • DOI: https://doi.org/10.1007/s00723-020-01230-0

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