2016_Imaging for Physicists

Bloch equations BM    g

d

M

τ

dt

0 Md , BM td Md , BM td Md z x y y x  g g  Felix Bloch td

w  

t) sin( M)t(M , t) w 

0 x

0 y

cos( M)t(M

x

L

y

L

M)t(M 

z

0

• w L  gB ; Larmor frequency • Set of equations describing a precession around the axis defined by B (z-axis)

Joseph Larmor