Electricity: measuring and testing – Particle precession resonance – Using a nuclear resonance spectrometer system
Reexamination Certificate
2006-05-02
2006-05-02
Gutierrez, Diego (Department: 2859)
Electricity: measuring and testing
Particle precession resonance
Using a nuclear resonance spectrometer system
Reexamination Certificate
active
07038452
ABSTRACT:
The discrete inverse scattering (DIST) approach is used to design selective RF-pulses. As in SLR, a hard pulse approximation is used to actually design the pulse. Unlike SLR, the pulse is designed using the full inverse scattering data (the reflection coefficient and the bound states) rather than the flip angle profile. The reflection coefficient is approximated in order to obtain a pulse with a prescribed rephasing time. In contrast to the SLR approach, direct control on the phase of the magnetization profile is retained throughout the design process. Explicit recursive algorithms are provided for computing the hard pulse from the inverse scattering data. These algorithms are essentially discretizations of the Marchenko equations. When bound states are present, both the left and right Marchenko equations are used in order to improve the numerical stability of the algorithm. The DIST algorithm is used in preferred applications to generate pulses for use in magnetic resonance imaging, although it has applications in other two-level quantum systems such as quantum computing and spintronics.
REFERENCES:
patent: 5153515 (1992-10-01), Leigh et al.
patent: 5449376 (1995-09-01), Callahan
patent: 5572126 (1996-11-01), Shinnar
patent: 5821752 (1998-10-01), LeRoux
Beals, R., et al., “Scattering and inverse scattering for first order systems,”CPAM, 1984, 37, 39-90.
Beals, R., et al. “Scattering and inverse scattering for first order systems: II.,”Inverse Problems, 1987, 3, 577-593.
Carlson, J., “Exact solutions for selective-excitation pulses. II. Excitation pulses with phase control”J. of Mag. Res., 1992, 97, 65-78.
Carlson, J., “Exact solutions for selective-excitation pulses,”J. of Mag. Res., 1991, 94, 376-386.
Grünbaum, F., et al., “An exploration of the invertibility of the bloch transform,”Inverse Problems, 1986, 2, 75-81.
Le Roux, “Exact synthesis of radio frequency waveforms,”Proceedings of 7thAnnual Meeting of SMRM, 1988, p. 1049.
Moses, H.E., et al., “Eigenvalues and eigenfunctions associated with the gel'fand-levitan equation,”J. Math. Phys., 1984, 25(l), 108-112.
Pauly, J., et al., “Parameter relations for the Shinnar-Le Roux Selective excitation pulse design algorithm,”IEEE Trans. On Med. Imaging, 1991, 10(l), 53-65.
Rourke, D.E., et al., “The inverse scattering transform and its use in the exact inversion of the bloch equation for noninteracting spins,”J. of Mag. Res., 1992, 99, 1-20.
Rourke, D.E., A simple relationship between total RF pulse energy and magnetization response—the nonlinear generalization of parseval's relation,J. of Mag. Reson., 1995,Series A(115), 189-196.
Shinnar, et al., “The application of spinors to pulse synthesis and analysis,”Mag. Res. In Med., 1989, 12, 93-98.
Shinnar, et al., “The synthesis of pulse sequences yielding arbitrary magnetization vectors,”Mag. Res. In Med., 1989, 12, 74-80.
Shinnar, M., et al., “The synthesis of soft pulses with a specified frequency response,”Mag. Res. In Med.,1989, 12, 88-92.
Shinnar, et al., in “Inversion of the bloch equation,”J. chem . . . Phys., 1993, 98(8), 6121-6128.
Zakharov, V., et al., “Korteweg-de Vries equation, a completely integrable Hamiltonian system,”Funk. Anal. Pril{hacek over (o)}z, 1971, 5(4), 18-27 (translated).
Zakharov, V., et al., “On the complete integrability of the non-linear Schrödinger equation,”Teor. Mat. Fiz., 1974, 19(3), 332-343 (translated).
Epstein Charles L.
Magland Jeremy
Gutierrez Diego
The Trustees of the University of Pennsylvania
Vargas Dixomara
Woodcock & Washburn LLP
LandOfFree
Practical pulse synthesis via the discrete inverse... does not yet have a rating. At this time, there are no reviews or comments for this patent.
If you have personal experience with Practical pulse synthesis via the discrete inverse..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Practical pulse synthesis via the discrete inverse... will most certainly appreciate the feedback.
Profile ID: LFUS-PAI-O-3647013