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Phase evolution

• The phase shift depends on the strength and duration of the gradient

applied;

( )

t

t

0

0

ω

= Φ

( )

TB T T

∆= ∆= ∆Φ

γ

ω

• In a spin-echo sequence, the spins flip 180° during the 180° pulse.

Thus, a phase difference created before the 180° pulse has the opposite

effect during read-out

y y

m

TG ym

∆ = ∆Φ

γ

• For the phase-encoding (y) and read-out (x) gradients, this means:

x

x

n

Tn xG

∆ = ∆Φ

γ

and