Phase lag in the amplitude modulated magnetic resonance

Response of a magnetic spin system to the amplitude modulated radiofrequency field is studied. Spin system is assumed to obey Bloch equations. For a spin system resonant at Larmor frequency ω 0 , calculations demonstrate how the phase lags Φ ⊥ and Φ z , of magnetization components M x , M y and M z...

Full description

Saved in:
Bibliographic Details
Published in:Computer physics communications 2001-08, Vol.138 (2), p.170-174
Main Authors: Krupski, Marcin, Sczaniecki, Paweł B.
Format: Article
Language:English
Subjects:
Amplitude modulation
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Exact sciences and technology
General theory of resonances and relaxations
Magnetic resonance
Magnetic resonances and relaxations in condensed matter, mössbauer effect
Magnetization
Mathematical methods in physics
Numerical approximation and analysis
Phase lag
Physics
Relaxation
Spin system
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Response of a magnetic spin system to the amplitude modulated radiofrequency field is studied. Spin system is assumed to obey Bloch equations. For a spin system resonant at Larmor frequency ω 0 , calculations demonstrate how the phase lags Φ ⊥ and Φ z , of magnetization components M x , M y and M z occur and how sensitive they are to the relaxation properties of the system. Relative to Larmor frequency the angular frequency of the amplitude modulation, Ω⪡ω 0 , is very low, at the same time it is comparable to the relaxation rates of the spins. With reference to the analytical solution of a damped harmonic oscillator a simple formula tanΦ ⊥=T 2Ω describes the magnitude of the phase lag Φ ⊥ as a function of relaxation time T 2 .
ISSN:0010-4655
1879-2944
DOI:10.1016/S0010-4655(01)00207-7