Optimal Control Design of Excitation Pulses That Accommodate Relaxation

Naum I. Gershenzon; Kyryl Kobzar; Burkhard Luy; Steffen J. Glaser; Thomas E. Skinner

doi:10.1016/j.jmr.2007.08.007

Optimal Control Design of Excitation Pulses That Accommodate Relaxation

Naum I. Gershenzon, Kyryl Kobzar, Burkhard Luy, Steffen J. Glaser, Thomas E. Skinner

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

An optimal control algorithm for mitigating the effects of T ₁ and T ₂ relaxation during the application of long pulses is derived. The methodology is applied to obtain broadband excitation that is not only tolerant to RF inhomogeneity typical of high resolution probes, but is relatively insensitive to relaxation effects for T ₁ and T ₂ equal to the pulse length. The utility of designing pulses to produce specific phase in the final magnetization is also presented. The results regarding relaxation and optimized phase are quite general, with many potential applications beyond the specific examples presented here.

Original language	American English
Journal	Journal of Magnetic Resonance
Volume	188
DOIs	https://doi.org/10.1016/j.jmr.2007.08.007
State	Published - Jan 1 2007

Keywords

RC-BEBOP
Relaxation
T1 relaxation
T2 relaxation
Optimal control theory

Disciplines

Physical Sciences and Mathematics
Physics

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10.1016/j.jmr.2007.08.007License: CC BY

Cite this

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title = "Optimal Control Design of Excitation Pulses That Accommodate Relaxation",

abstract = " An optimal control algorithm for mitigating the effects of T 1 and T 2 relaxation during the application of long pulses is derived. The methodology is applied to obtain broadband excitation that is not only tolerant to RF inhomogeneity typical of high resolution probes, but is relatively insensitive to relaxation effects for T 1 and T 2 equal to the pulse length. The utility of designing pulses to produce specific phase in the final magnetization is also presented. The results regarding relaxation and optimized phase are quite general, with many potential applications beyond the specific examples presented here.",

keywords = "RC-BEBOP, Relaxation, T1 relaxation, T2 relaxation, Optimal control theory",

author = "Gershenzon, {Naum I.} and Kyryl Kobzar and Burkhard Luy and Glaser, {Steffen J.} and Skinner, {Thomas E.}",

year = "2007",

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doi = "10.1016/j.jmr.2007.08.007",

language = "American English",

volume = "188",

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T1 - Optimal Control Design of Excitation Pulses That Accommodate Relaxation

AU - Gershenzon, Naum I.

AU - Kobzar, Kyryl

AU - Luy, Burkhard

AU - Glaser, Steffen J.

AU - Skinner, Thomas E.

PY - 2007/1/1

Y1 - 2007/1/1

N2 - An optimal control algorithm for mitigating the effects of T 1 and T 2 relaxation during the application of long pulses is derived. The methodology is applied to obtain broadband excitation that is not only tolerant to RF inhomogeneity typical of high resolution probes, but is relatively insensitive to relaxation effects for T 1 and T 2 equal to the pulse length. The utility of designing pulses to produce specific phase in the final magnetization is also presented. The results regarding relaxation and optimized phase are quite general, with many potential applications beyond the specific examples presented here.

AB - An optimal control algorithm for mitigating the effects of T 1 and T 2 relaxation during the application of long pulses is derived. The methodology is applied to obtain broadband excitation that is not only tolerant to RF inhomogeneity typical of high resolution probes, but is relatively insensitive to relaxation effects for T 1 and T 2 equal to the pulse length. The utility of designing pulses to produce specific phase in the final magnetization is also presented. The results regarding relaxation and optimized phase are quite general, with many potential applications beyond the specific examples presented here.

KW - RC-BEBOP

KW - Relaxation

KW - T1 relaxation

KW - T2 relaxation

KW - Optimal control theory

UR - https://corescholar.libraries.wright.edu/physics/260

U2 - 10.1016/j.jmr.2007.08.007

DO - 10.1016/j.jmr.2007.08.007

M3 - Article

C2 - 17804269

VL - 188

JO - Journal of Magnetic Resonance

JF - Journal of Magnetic Resonance

ER -

Optimal Control Design of Excitation Pulses That Accommodate Relaxation

Abstract

Keywords

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