4.3 Article

Exploring the limits of broadband excitation and inversion: II. Rf-power optimized pulses

Journal

JOURNAL OF MAGNETIC RESONANCE
Volume 194, Issue 1, Pages 58-66

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmr.2008.05.023

Keywords

optimal control theory; excitation; inversion; rf-power; BEBOP; BIBOP; broadband pulses

Funding

  1. Darpa [F49620-0101-00556]
  2. NSF [CHE-0518174]
  3. Fonds der Chemischen Industrie
  4. DFG [LU 835/2, GI 203/6-1]
  5. Bio-DNP
  6. QAP
  7. [SFB 631]

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In [K. Kobzar, T.E. Skinner, N. Khaneja, S.J. Glaser, B. Luy, Exploring the limits of broadband excitation and inversion, J. Magn. Reson. 170 (2004) 236-243], optimal control theory was employed in a systematic Study to establish physical limits for the minimum rf-amplitudes required in broadband excitation and inversion Pulses. In a number of cases, however, experimental schemes are not limited by rf-amplitudes, but by the overall rf-power applied to a sample. We therefore conducted a second systematic study of excitation and inversion Pulses of varying Pulse durations with respect to bandwidth and rf-tolerances, but this time using modified algorithm involving restricted rf-power. The resulting pulses display a variety Of Pulse shapes with highly modulated rf-amplitudes and generally show better performance than corresponding Pulses With identical Pulse length and rf-power, but limited rf-amplitude. A detailed description of pulse shapes and their performance is given for the so-called power-BEBOP and power-BIBOP Pulses. (C) 2008 Elsevier Inc. All rights reserved.

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