Sech pulse.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:41:22Z

Update function See also links and function index membership

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:52:14Z

Rename Arguments section heading to Parameters

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Normalise sequential blank lines

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Kuprov: Sync syntax/arguments/outputs with current Spinach source

2026-04-05T14:04:10Z

Sync syntax/arguments/outputs with current Spinach source

Kuprov: Created page with "{{DISPLAYTITLE:sech_pulse.m}} NOTOC Hyperbolic secant pulse in Cartesian and amplitude-phase representation. ==Syntax== [Cx,Cy,time_grid,amps,phis]=sech_pulse(peak_..."

2024-05-04T10:01:57Z

Created page with "{{DISPLAYTITLE:sech_pulse.m}} __NOTOC__ Hyperbolic secant pulse in Cartesian and amplitude-phase representation. ==Syntax== [Cx,Cy,time_grid,amps,phis]=sech_pulse(peak_..."

New page

{{DISPLAYTITLE:sech_pulse.m}} __NOTOC__
Hyperbolic secant pulse in Cartesian and amplitude-phase representation.

==Syntax==

[Cx,Cy,time_grid,amps,phis]=sech_pulse(peak_ampl,freq_mod,phase_mod,dur,npts)

==Arguments==

peak_amp - peak amplitude, rad/s

freq_mod - frequency modulation parameter, rad/s

phase_mod - phase modulation parameter, dimless

dur - pulse duration, seconds

npts - number of digitisation points

==Outputs==

Cx - a vector of coefficients in front of Sx
spin operator at each time slice, rad/s

Cy - a vector of coefficients in front of Sy
spin operator at each time slice, rad/s

time_grid - a vector of time grid points, seconds

amps - a vector of pulse amplitudes at each ti-
me slice, rad/s

phis - a vector of pulse phases at each time
slice (phi=0 at t=0 in the centre), rad

==Examples==
The following Matlab code

[Cx,Cy,time_grid]=sech_pulse(1,672,5,10.24e-3,1000);
plot(time_grid,[Cx; Cy]); kgrid; xlim tight;
kxlabel('time, seconds'); kylabel('amplitude, rad/s');

yields:

[[File:sech_pulse.png]]

==See also==
[[Kernel_functions#Shaped_pulses_and_gradients|Shaped pulses and gradients]]

''Version 2.9, authors: [[Ilya Kuprov]]''

@@ Line 46: / Line 46: @@
 ==See also==
-[[Kernel_functions#Shaped_pulses_and_gradients|Shaped pulses and gradients]]
+[[bruker_write.m]], [[cartesian2polar.m]], [[chirp_pulse.m]], [[grad_pulse.m]], [[grad_sandw.m]], [[pmlg5.m]], [[polar2cartesian.m]], [[pulse_shape.m]], [[read_wave.m]], [[restrans.m]], [[rseq_compiler.m]], [[rsequence.m]], [[sawtooth.m]], [[shaped_pulse_af.m]], [[shaped_pulse_xy.m]], [[spinal.m]], [[triwave.m]], [[vg_pulse.m]], [[wave_basis.m]], [[Kernel_functions]]
 ''Version 2.9, authors: [[Ilya Kuprov]]''

@@ Line 6: / Line 6: @@
       [Cx,Cy,time_grid,amps,phis]=sech_pulse(peak_ampl,freq_mod,phase_mod,dur,npts)
-==Arguments==
+==Parameters==
       peak_amp  - peak amplitude, rad/s

@@ Line 1: / Line 1: @@
 {{DISPLAYTITLE:sech_pulse.m}} __NOTOC__
 Hyperbolic secant pulse in Cartesian and amplitude-phase representation.
 ==Syntax==
-[Cx,Cy,time_grid,amps,phis]=sech_pulse(peak_amp,freq_mod,phase_mod,dur,npts)
+     [Cx,Cy,time_grid,amps,phis]=sech_pulse(peak_ampl,freq_mod,phase_mod,dur,npts)
 ==Arguments==
-peak_amp  - peak amplitude, rad/s
+     peak_amp  - peak amplitude, rad/s
       freq_mod  - frequency modulation parameter, rad/s
@@ Line 21: / Line 20: @@
 ==Outputs==
-Cx        - a vector of coefficients in front of Sx
+     Cx        - a vector of coefficients in front of Sx
                   spin operator at each time slice, rad/s
@@ Line 36: / Line 35: @@
 ==Examples==
 The following Matlab code
@@ Line 48: / Line 46: @@
 ==See also==
 [[Kernel_functions#Shaped_pulses_and_gradients|Shaped pulses and gradients]]
 ''Version 2.9, authors: [[Ilya Kuprov]]''