Bloch simulator.

　　[mx,my,mz] = bloch(b1,gr,tp,t1,t2,df,dp,mode,mx,my,mz)



　　Bloch simulation of rotations due to B1, gradient and

　　off-resonance, including relaxation effects. At each time

　　point, the rotation matrix and decay matrix are calculated.

　　Simulation can simulate the steady-state if the sequence

　　is applied repeatedly, or the magnetization starting at m0.



　　INPUT:

　　　　b1 = (Mx1) RF pulse in G. Can be complex.

　　　　gr = (Mx1,2,or 3) 1,2 or 3-dimensional gradient in G/cm.

　　　　tp = (Mx1) time duration of each b1 and gr point, in seconds,

　　　　　　　　or 1x1 time step if constant for all points

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　　Bloch simulator.



　　[mx,my,mz] = bloch(b1,gr,tp,t1,t2,df,dp,mode,mx,my,mz)



　　Bloch simulation of rotations due to B1, gradient and

　　off-resonance, including relaxation effects.　At each time

　　point, the rotation matrix and decay matrix are calculated.

　　Simulation can simulate the steady-state if the sequence

　　is applied repeatedly, or the magnetization starting at m0.



　　INPUT:

　　　　b1 = (Mx1) RF pulse in G.　Can be complex.

　　　　gr = (Mx1,2,or 3) 1,2 or 3-dimensional gradient in G/cm.

　　　　tp = (Mx1) time duration of each b1 and gr point, in seconds,

　　　　　　　　or 1x1 time step if constant for all points