2017 Imaging for Physicists Coursebook

Bloch equations

d

M

BM    g

τ

dt

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

w  

0 x

0 y

cos( M)t(M

t) sin( M)t(M , t) w 

x

L

y

L



M)t(M

z

0

• w L

 gB ; Larmor frequency

Joseph Larmor

• Set of equations describing a precession around the axis defined by B (z-axis)