CPMG echo amplitudes with arbitrary refocusing angle: Explicit expressions, asymptotic behavior, approximations

Journal of Magnetic Resonance

Volumn 212, Issue 2, 2011, Pages 330-343

  Petrova, M V ^a,b   Doktorov, A B ^c   Lukzen, N N ^a  

^a INTERNATIONAL TOMOGRAPHY CENTER   (Russian Federation)

^b NOVOSIBIRSK STATE UNIVERSITY   (Russian Federation)

^c INSTITUTE OF CHEMICAL KINETICS AND COMBUSTION   (Russian Federation)

Author keywords

Asymptotic form; CPMG sequence; Spin echo

Indexed keywords

ANALYTICAL APPROXIMATION; ANALYTICAL EXPRESSIONS; ASYMPTOTIC BEHAVIORS; ASYMPTOTIC FORMS; CPMG SEQUENCE; EXPLICIT EXPRESSIONS; GENERATING FUNCTION APPROACH; GENERATING FUNCTIONS; OSCILLATORY BEHAVIORS; PULSE SEQUENCE; RF PULSE; SPIN ECHO;

ASYMPTOTIC ANALYSIS;

ALGORITHM; ARTICLE; ELECTROMAGNETIC FIELD; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE IMAGING;

ALGORITHMS; ELECTROMAGNETIC FIELDS; MAGNETIC RESONANCE IMAGING;

EID: 80053274375     PISSN: 10907807     EISSN: 10960856     Source Type: Journal    
DOI: 10.1016/j.jmr.2011.07.013     Document Type: Article

References (20)

1. I.V. Koptyug, and R.Z. Sagdeev Non-traditional applications of NMR tomography Russ. Chem. Rev. 72 2003 183 212
2. I.V. Koptyug, and R.Z. Sagdeev Applications of NMR tomography to mass transfer studies Russ. Chem. Rev. 71 2002 899 948
3. I.V. Koptyug, and R.Z. Sagdeev Modern applications of NMR tomography in physical chemistry. The characteristic features of the technique and its applications to studies of liquid-containing objects Russ. Chem. Rev. 71 2002 672 699
4. J. Hennig Multiecho imaging sequences with low refocusing flip angles J. Magn. Reson. 78 1988 397 407
5. J. Hennig Echoes - how to generate, recognize, use or avoid them in MR-imaging sequences Concepts Magn. Reson. 125 1991 114 119
6. T.C. Mills, D.A. Ortendahl, N.M. Hylton, L.E. Crooks, J.W. Carlson, and L. Kaufman Partial flip angle MR imaging Radiology 162 1987 531 539 (Pubitemid 17015669)
7. G.R. Coates, L. Xiao, and M.G. Prammer NMR Logging Principles and Applications 1999 Halliburton Energy Services Houston
8. G. Goelman, and M.G. Prammer The CPMG pulse sequence in strong magnetic field gradients with application to oil-well logging J. Magn. Reson. A 113 1995 11 18
9. T.E. Bull Effect of RF inhomogeneities on spin-echo measurments Rev. Sci. Instrum. 45 1974 232 242
10. 1 fields and application to NMR well logging J. Magn. Reson. 143 2000 120 135
11. Yu. Zur An algorithm to calculate the NMR signal of a multi spin-echo sequence with relaxation and spin-diffusion J. Magn. Reson. 171 2004 97 106
12. N.N. Lukzen, and A.A. Savelov Analytical derivation of multiple spin echo amplitudes with arbitrary refocusing angle J. Magn. Reson. 185 2007 71 76 (Pubitemid 46484402)
13. N.N. Lukzen, M.V. Petrova, I.V. Koptyug, A.A. Savelov, and R.Z. Sagdeev The generating functions formalism for the analysis of spin response to the periodic trains of RF pulses. Echo sequences with arbitrary refocusing angles and resonance offsets J. Magn. Reson. 196 2009 164 169
14. A. Korn, and M. Korn Mathematical Handbook for Scientists and Engineers 1961 McGraw-Hill Book Company Inc. New York/Toronto/London
15. F. Bãlibanu, K. Hailu, R. Eymael, D.E. Demco, and B. Blümich Nuclear magnetic resonance in inhomogeneous magnetic fields J. Magn. Reson. 145 2000 246 258
16. D.E. Freed, M.D. Hürlimann, and U.M. Scheven The equivalence between off-resonance and on-resonance pulse sequences and its application to steady-state free precession with diffusion in inhomogeneous fields J. Magn. Reson. 162 2003 328 335
17. A.D. Bain, and E.W. Randall Hahn spin echoes in large static gradients following a series of 90° pulses J. Magn. Reson. 123 1996 49 55 (Pubitemid 126751991)
18. M.B. Franzoni, and P.R. Levstein Manifestations of the absence of spin diffusion in multipulse NMR experiments on diluted dipolar solids Phys. Rev. B 72 2005 235410-1 235410-5
19. 60: an answer to the long pseudocoherent tails Phys. Rev. B 78 2008 115407-1 115407-5
20. M.H. Levitt Spin Dynamics: Basics of Nuclear Magnetic Resonance second ed. 2008 Wiley