Difference between revisions of "Sech pulse.m"
(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_...") |
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{{DISPLAYTITLE:sech_pulse.m}} __NOTOC__ | {{DISPLAYTITLE:sech_pulse.m}} __NOTOC__ | ||
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Hyperbolic secant pulse in Cartesian and amplitude-phase representation. | Hyperbolic secant pulse in Cartesian and amplitude-phase representation. | ||
==Syntax== | ==Syntax== | ||
| − | + | [Cx,Cy,time_grid,amps,phis]=sech_pulse(peak_amp,freq_mod,phase_mod,dur,npts) | |
==Arguments== | ==Arguments== | ||
| − | + | peak_amp - peak amplitude, rad/s | |
freq_mod - frequency modulation parameter, rad/s | freq_mod - frequency modulation parameter, rad/s | ||
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==Outputs== | ==Outputs== | ||
| − | + | Cx - a vector of coefficients in front of Sx | |
spin operator at each time slice, rad/s | spin operator at each time slice, rad/s | ||
| Line 35: | Line 36: | ||
==Examples== | ==Examples== | ||
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The following Matlab code | The following Matlab code | ||
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==See also== | ==See also== | ||
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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 2.9, authors: [[Ilya Kuprov]]'' | ''Version 2.9, authors: [[Ilya Kuprov]]'' | ||
Revision as of 15:04, 5 April 2026
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)
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:
See also
Version 2.9, authors: Ilya Kuprov
