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) = B¡(t)e¬12 vot G, where vO is the Larmor frequency of the sample. The envelope of the RF pulse is a triangle function with parameter T: =| 히(1-부), 0st<2T 0, B{ (t) otherwise (a) Find the tip angle of the magnetization vector as a function of t for 0 sts2T. (b) What is the value of T to make B1(t) a t/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) = B¡(t)e¬12 vot G, where vO is the Larmor frequency of the sample. The envelope of the RF pulse is a triangle function with parameter T: =| 히(1-부), 0st<2T 0, B{ (t) otherwise (a) Find the tip angle of the magnetization vector as a function of t for 0 sts2T. (b) What is the value of T to make B1(t) a t/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) = B¡(t)e¬i27 vot G,
where vo is the Larmor frequency of the sample. The envelope of the RF pulse is a triangle function with parameter T:
B{ (t) =
0,
{
to (1 – ), 0<t< 2T
otherwise
(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 Tt/2 pulse?
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