Advanced design of MRI inversion pulses for inhomogeneous field conditions by optimal control

Christina Graf, Martin Söllradl, Christoph Stefan Aigner, Armin Rund, Rudolf Stollberger*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Non-selective inversion pulses find widespread use in MRI applications, where requirements on them are increasingly demanding. With the use of high and ultra-high field strength systems, robustness to (Formula presented.) and (Formula presented.) inhomogeneities, while tackling SAR and hardware limitations, has rapidly become important. In this work, we propose a time-optimal control framework for the optimization of (Formula presented.) - and (Formula presented.) -robust inversion pulses. Robustness is addressed by means of ensemble formulations, while allowing inclusion of hardware and energy limitations. The framework is flexible and performs excellently for various optimization goals. The optimization results are analyzed extensively in numerical experiments. Furthermore, they are validated, and compared with adiabatic RF pulses, in various phantom and in vivo measurements on a 3 T MRI system.

Original languageEnglish
Article numbere4790
JournalNMR in Biomedicine
Issue number11
Publication statusPublished - 2022


  • Inhomogeneous B and B
  • MRI
  • RF pulse design
  • time-optimal control

ASJC Scopus subject areas

  • Molecular Medicine
  • Radiology Nuclear Medicine and imaging
  • Spectroscopy


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