ArticleAIP advances2023
On the geometric phases during radio frequency pulses with sine and cosine amplitude and frequency modulation.
Article in AIP advances, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed, 2 citations in OpenAlex.
- Altering MRI rotating frame relaxations by changing the truncation level of Hyperbolic Secant pulse.Journal of magnetic resonance (San Diego, Calif. : 1997) · 2026Article
- Multi-Mode Triboelectric Nanogenerator for Football Impact Monitoring and Mechanical Energy Harvesting.ChemistryOpen · 2025Article
- On the geometric phase effects on time evolution of the density matrix during modulated radiofrequency pulses.Journal of magnetic resonance (San Diego, Calif. : 1997) · 2025Article
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
Abstract
In this work, we describe the formation of geometric phases during nonadiabatic frequency swept (FS) radio frequency (RF) pulses with sine amplitude modulation and cosine frequency modulation functions. The geometric phases during the FS pulse were analyzed using a Schrödinger equation formalism, and the unified analytical expression for the geometric phase was derived. We present the solutions for sub-geometric phase components incorporated in spinor wavefunctions for the RF Hamiltonian of spin ½ nuclei. We demonstrate that the geometric phases during sine/cosine RF pulses are opposite in signs for different initial conditions of the spinor and that geometric phases can accumulate in correspondence to different magnetization trajectories. The derived formalism could be extended for the evaluation of the geometric phases during a wide class of amplitude- and frequency-modulated pulses used in MRI and in high-resolution NMR.
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