Shaped pulse af.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:41:24Z

Update function See also links and function index membership

2026-06-05T17:52:16Z

Rename Arguments section heading to Parameters

2026-06-05T15:59:08Z

Add NOTOC to Spinach function page header

2026-06-05T14:23:00Z

Update function page arguments and outputs from current Spinach source

2026-06-05T14:15:04Z

Correct function page syntax from current Spinach source

2026-04-25T11:30:12Z

Normalise sequential blank lines

2026-04-05T14:50:08Z

Restore pre-bulk-edit wiki content

2026-04-05T14:04:12Z

Sync syntax/arguments/outputs with current Spinach source

2024-05-08T16:04:24Z

‎See also

2021-10-20T10:44:52Z

@@ Line 64: / Line 64: @@
 ==See also==
-[[shaped_pulse_xy.m]], [[read_wave.m]], [[vg_pulse.m]], [[pulse_shape.m]], [[chirp_pulse.m]]
+[[shaped_pulse_xy.m]], [[read_wave.m]], [[vg_pulse.m]], [[pulse_shape.m]], [[chirp_pulse.m]], [[bruker_write.m]], [[cartesian2polar.m]], [[grad_pulse.m]], [[grad_sandw.m]], [[pmlg5.m]], [[polar2cartesian.m]], [[restrans.m]], [[rseq_compiler.m]], [[rsequence.m]], [[sawtooth.m]], [[sech_pulse.m]], [[spinal.m]], [[triwave.m]], [[wave_basis.m]], [[Kernel_functions]]
 ''Version 2.2, authors: [[Ilya Kuprov]]''

@@ Line 9: / Line 9: @@
                                             max_rank,method)
-==Arguments==
+==Parameters==
          L0          - drift Liouvillian that continues

← Older revision		Revision as of 15:59, 5 June 2026
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−	{{DISPLAYTITLE:shaped_pulse_af.m}}	+	{{DISPLAYTITLE:shaped_pulse_af.m}} __NOTOC__
	Shaped pulse in amplitude-frequency coordinates using Fokker-Planck formalism (Eqn. 33 in http://dx.doi.org/10.1016/j.jmr.2016.07.005).		Shaped pulse in amplitude-frequency coordinates using Fokker-Planck formalism (Eqn. 33 in http://dx.doi.org/10.1016/j.jmr.2016.07.005).

@@ Line 43: / Line 43: @@
 ==Outputs==
-        rho         - final state vector
+rho  - final state vector, or a stack thereof
-        P           - effective pulse propagator, only
-                      available for the 'expm' method
+traj - system trajectory as a [1 x (nsteps+1)] cell array; the first
 ==Examples==
@@ Line 56: / Line 60: @@
 ==Notes==
-Of the three propagation methods, 'expv' is recommended because it runs Krylov propagation that avoids explicit matrix exponentiation. The 'expm' option forces the rather inefficient sparse matrix exponentiation path and should only be used when the effective propagator is required. In very anomalous cases (long pulses, large state vector stacks, very large state spaces), the 'evolution' option might become necessary.
 ==See also==

@@ Line 4: / Line 4: @@
 ==Syntax==
       rho=shaped_pulse_af(spin_system,L0,Lx,Ly,rho,rf_frq_list,...
-                         rf_amp_list,rf_dur_list,rf_phi,max_rank,method)
+      [rho,traj,P]=shaped_pulse_af(spin_system,L0,Lx,Ly,rho,rf_frq_list,...
 ==Arguments==

← Older revision		Revision as of 11:30, 25 April 2026
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	[[Kernel_functions#Shaped_pulses_and_gradients\|Shaped pulses and gradients]]		[[Kernel_functions#Shaped_pulses_and_gradients\|Shaped pulses and gradients]]
−

	''Version 2.2, authors: [[Ilya Kuprov]]''		''Version 2.2, authors: [[Ilya Kuprov]]''

@@ Line 1: / Line 1: @@
 {{DISPLAYTITLE:shaped_pulse_af.m}}
-Shaped pulse in amplitude-frequency coordinates using Fokker-Planck formalism (Eqn. 33 in http://dx.doi.org/10.1016/j.jmr.2016.07.005). The pulse is assumed to be piecewise-constant and should be supplied with sufficiently fine time discretization to properly reproduce the waveform.
+Shaped pulse in amplitude-frequency coordinates using Fokker-Planck formalism (Eqn. 33 in http://dx.doi.org/10.1016/j.jmr.2016.07.005).
 ==Syntax==