Shimming: Theory and Practice - UCLA-DOE

Shimming: Theory and Practice - UCLA-DOE Shimming: Theory and Practice - UCLA-DOE

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a b 1D image of field inhomogeneity c 0 3 +10 -10 G z τ 3τ τ 1D gradient echo experiment with longer echo time 2 -5 0 0 1 -10 -10 +10 inhomogeneous sample 1 st gradient readout field gradient region of sample 1 a y b c acq x phase difference = -90 degrees freq. = -10 2 b c acq phase difference = -45 degrees freq. = -5 3 b c acq no phase difference freq. = 0

Phase difference -90 -45 0 1 2 3 Image of the field When the carrier is on resonance, the phase difference Δφ(r) obtained at a certain position in the sample from images taken at two echo times is determined by the field inhomogeneity ΔΒ(r). Δφ(r) = γΔΒ(r)[TE 1 – TE 2 ] An image of the field is made by plotting the phase difference divided by the echo time difference against frequency. (remember that because of the acquisition gradient, frequency corresponds to position in the sample)

a<br />

b<br />

1D image of field inhomogeneity<br />

c<br />

0<br />

3<br />

+10<br />

-10<br />

G z<br />

τ 3τ τ <br />

1D gradient echo experiment<br />

with longer echo time<br />

2<br />

-5 0 0<br />

1<br />

-10 -10 +10<br />

inhomogeneous sample 1 st gradient readout<br />

field<br />

gradient<br />

region<br />

of sample<br />

1<br />

a<br />

y<br />

b<br />

c<br />

acq<br />

x<br />

phase difference<br />

= -90 degrees<br />

freq. = -10<br />

2<br />

b<br />

c<br />

acq<br />

phase difference<br />

= -45 degrees<br />

freq. = -5<br />

3<br />

b<br />

c<br />

acq<br />

no phase difference<br />

freq. = 0

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