Exact analytical solutions of the Bloch equation for the hyperbolic‐secant and chirp pulses
The derived analytical solutions for the Bloch equation during an HS1 or chirp pulse are exact regardless of pulse parameters and initial magnetization and precisely conform with simulations enabling their use in quantitative MRI applications and setting a foundation for the analytical consideration of relaxation and pulses in multiply rotating frames.
Authors
- Michael Garwood (ORCID: https://orcid.org/0000-0003-1578-9166)
- Ryan H. B. Smith (ORCID: https://orcid.org/0000-0002-9207-4108)
- Donald Garwood
Institutions
- University of Minnesota (US)
- Resonance Research (United States) (US)
Publication Details
- Journal
- Magnetic Resonance in Medicine
- Published
- 2025-06-16
- DOI
- https://doi.org/10.1002/mrm.30603
- Primary Topic
- Advanced MRI Techniques and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Institute of Biomedical Imaging and Bioengineering