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General parameter relations for the Shinnar-Le Roux pulse design algorithm.

Kuan J Lee1

  • 1Academic Unit of Radiology, University of Sheffield, Floor C, Royal Hallamshire Hospital, Sheffield S10 2JF, UK. k.j.lee@sheffield.ac.uk

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|April 6, 2007
PubMed
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This study extends the Shinnar-Le Roux algorithm for magnetic resonance imaging (MRI) pulse design. New parameter relations enable more accurate excitation pulses, improving slice profile control beyond previous limitations.

Area of Science:

  • Magnetic Resonance Imaging (MRI)
  • Pulse Sequence Design
  • Biomedical Engineering

Background:

  • The Shinnar-Le Roux (SLR) algorithm is a key method for designing selective excitation pulses in MRI.
  • Existing parameter relations for the SLR algorithm are limited, particularly for non-small or non-90-degree flip angles.
  • Magnetization ripple amplitudes are a complex, non-linear function of SLR polynomial ripples.

Purpose of the Study:

  • To extend the parameter relations of the Shinnar-Le Roux algorithm for broader applicability.
  • To enable the design of selective excitation pulses for a wider range of flip angles.
  • To improve the accuracy of simulated slice profiles by controlling ripple amplitudes.

Main Methods:

  • Extended the parameter relations method described by Pauly et al. for the Shinnar-Le Roux algorithm.

Related Experiment Videos

  • Developed general parameter relations applicable beyond the five classes previously considered.
  • Utilized the Parks-McClellan algorithm iteratively to obtain polynomials with specified ripple amplitudes.

    • Main Results:

    • Derived generalized parameter relations for the Shinnar-Le Roux pulse design algorithm.
    • Demonstrated the applicability of these relations for excitation pulses with arbitrary flip angles.
    • Achieved simulated slice profiles with desired ripple amplitudes using the new relations and iterative procedure.

    Conclusions:

    • The extended parameter relations provide a more versatile approach to Shinnar-Le Roux pulse design.
    • This method allows for precise control over slice profiles, especially for non-standard flip angles.
    • The findings contribute to improved accuracy and flexibility in MRI pulse sequence development.