2D Pulses using spatially dependent frequency sweeping

Albert Jang, Naoharu Kobayashi, Steen Moeller, J. T Vaughan, Jianyi Zhang, Michael Garwood

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Purpose: To introduce a method of designing two-dimensional (2D) frequency-modulated pulses that produce phase coherence in a spatiotemporal manner. Uniquely, this class of pulses provides the ability to compensate for field inhomogeneity using a spatiotemporally dependent trajectory of maximum coherence in a single-shot. Theory and Methods: A pulse design method based on a k-space description is developed. Bloch simulations and phantom experiments are used to demonstrate sequential spatiotemporal phase coherence and compensation for B+ 0 and B0 inhomogeneity. Results: In the presence of modulated gradients, the 2D frequency-modulated pulses were shown to excite a cylinder in a selective manner. With a surface coil transmitter, compensation of the effect of B+ 0 inhomogeneity was experimentally verified, in agreement with simulation results. In addition, simulations were used to demonstrate partial compensation for B0 inhomogeneity. Conclusion: The 2D frequency-modulated pulses are a new class of pulses that generate phase coherence sequentially along a spatial trajectory determined by gradient- and frequency-modulated functions. By exploiting their spatiotemporal nature, 2D frequency-modulated pulses can compensate for spatial variation of the radiofrequency field in a single-shot excitation. Preliminary results shown suggest extensions might also be used to compensate for static field inhomogeneity. Magn Reson Med 76:1364–1374, 2016.

Original languageEnglish (US)
Pages (from-to)1364-1374
Number of pages11
JournalMagnetic resonance in medicine
Issue number5
StatePublished - Nov 1 2016

Bibliographical note

Funding Information:
Research reported in this publication was supported by the National Institute of Mental Health, the National Institute of Biomedical Imaging and Bioengineering, and American Heart Association. The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health. The authors are grateful to Dr. Gregor Adriany for valuable technical assistance.

Publisher Copyright:
© 2015 International Society for Magnetic Resonance in Medicine


  • MRI
  • chirp
  • frequency-modulated pulse
  • hyperbolic secant
  • magnetic field inhomogeneity
  • spatiotemporal encoding


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