A sample of 1H in the equilibrium condition in a static magnetic field BO is excited by a short circularly polarized RF pulse. The RF pulse is a magnetic field in the transverse plane B₁(t) = B₁(t)e-12vọt G₂ where VO is the Larmor frequency of the sample. The envelope of the RF pulse is a triangle function with parameter T: (1-7), 0≤t≤2T otherwise B₁ (t)= = { 0, (a) Find the tip angle of the magnetization vector as a function of t for 0 ≤ t ≤ 2T. (b) What is the value of T to make B1(t) a π/2 pulse?
A sample of 1H in the equilibrium condition in a static magnetic field BO is excited by a short circularly polarized RF pulse. The RF pulse is a magnetic field in the transverse plane B₁(t) = B₁(t)e-12vọt G₂ where VO is the Larmor frequency of the sample. The envelope of the RF pulse is a triangle function with parameter T: (1-7), 0≤t≤2T otherwise B₁ (t)= = { 0, (a) Find the tip angle of the magnetization vector as a function of t for 0 ≤ t ≤ 2T. (b) What is the value of T to make B1(t) a π/2 pulse?
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Transcribed Image Text:A sample of 1H in the equilibrium condition in a static magnetic field BO is excited by a short circularly polarized RF pulse.
The RF pulse is a magnetic field in the transverse plane
B₁(t) = B₁(t)e-i²πvot G₂
where vo is the Larmor frequency of the sample. The envelope of the RF pulse is a triangle function with parameter T:
(1-7), 0≤t≤2T
otherwise
B₁ (t)=
=
{
0,
(a) Find the tip angle of the magnetization vector as a function of t for 0 ≤ t ≤ 2T.
(b) What is the value of T to make B1(t) a π/2 pulse?
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