Multipole theory of composite pulses

From the results for a pure pulse from the multipole theory of nuclear magnetic resonance, it is possible to obtain general analytical expressions for the decomposition of a single pulse into a product of a number of constituent pulses. These pulses, which are represented as Wigner rotation matrices...

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Bibliographic Details
Published in:Journal of magnetic resonance (1969) 1987, Vol.71 (1), p.106-115
Main Authors: Sanctuary, B.C, Cole, H.B.R
Format: Article
Language:English
Subjects:
Exact sciences and technology
Infrared, submillimeter wave, microwave and radiowave instruments, equipment and techniques
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Physics
Submillimeter wave, microwave and radiowave spectrometers
magnetic resonance spectrometers, auxiliary equipments and techniques
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Summary:From the results for a pure pulse from the multipole theory of nuclear magnetic resonance, it is possible to obtain general analytical expressions for the decomposition of a single pulse into a product of a number of constituent pulses. These pulses, which are represented as Wigner rotation matrices, have the angles as functions of the off resonance frequency and the rf amplitude. By multiplying 3 × 3 matrices n times it is possible to generate the analytical expressions for n composite pulses which describe the three components of the magnetization vector. These are exact for all off resonance conditions and for any spin magnitude. Our theoretical results agree with experimental data presented here and elsewhere.
ISSN:0022-2364
1557-8968
DOI:10.1016/0022-2364(87)90131-4