In-room imaging and MR planning

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



0 x

0 y

=

t) cos( M)t(M w

t) sin( M)t(M , 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)