Chinese Journal of Magnetic Resonance ›› 2015, Vol. 32 ›› Issue (2): 373-381.doi: 10.11938/cjmr20150219

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Theoretical Calculation of a Composite Pulse with 8-Step Phase Cycling for 2H Broadband Excitation by Average Hamiltonian Theory

SHEN Ming1,5,ROOPCHAND Rabia2,MANANGA Eugene S3*,AMOUREUX Jean-paul1,5,CHEN Qun1,BOUTIS Gregory S4*,HU Bing-wen1*   

  1. 1. Physics Department & Shanghai Key Laboratory of Magnetic Resonance, East China Normal University, Shanghai 200062;
    2. Department of Physics, Hunter College, New York 10065;
    3. Center for Advanced Radiological Sciences, Division of Nuclear Medicine and Molecular Imaging Physics, Department of Radiology, Harvard Medical School and Massachusetts General Hospital, Boston, 02114;
    4. Physics Department, Brooklyn College, New York NY 11210;
    5. UCCS, University Lille North of France, Villeneuve d’Ascq 59652
  • Received:2015-01-30 Revised:2015-05-16 Online:2015-06-05 Published:2015-06-05
  • About author:*Corresponding author: MANANGA Eugene S, Tel: +1-617-726-6165, E-mail: emananga@pet.mgh.harvard.edu; BOUTIS Gregory S, Tel: +1-718-262-2652, E-mail: gboutis@brooklyn.cuny.edu; HU Bing-wen, Tel: +86-15000786783, E-mail: bwhu@phy.ecnu.edu.cn
  • Supported by:

    Key Project of Shanghai Committee of Science and Technology (11JC1403600); National Natural Science Foundation of China (21103050 and 21373086); National Key Basic Research Program of China (2013CB921800); Awards from the National Institute of General Medical Science of the National Institutes
    of Health (SC1 GM086268-08).

Abstract:

Quadrupolar echo NMR spectroscopy of solids often requires RF pulse excitation that covers spectral widths exceeding 100 kHz. In a recent work we found out that a composite pulse COM-II (9018090135 45) , provided robust broadband excitation for deuterium quadrupolar echo spectroscopy. Moreover, when combined with an 8-step phase cycle, spectral distortions arising from finite pulse widths were greatly suppressed. In this paper we report on a theoretical
analysis of COM-II with 8-step phase cycle by average Hamiltonian theory. This treatment is combined with the fictitious spin-1 operator formalism, and the mechanism of the 8-step phase cycling that minimizes the spectral distortions is discussed.

Key words: solid-state NMR, quadrupolar echo, deuterium, composite pulses, phase cycling

CLC Number: