deer_4p_soft_hole.m

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Pulse diagnostics for the four-pulse DEER/PELDOR pulse sequence. This function shows how soft pulses affect the magnetisation of the sample. It is a hypothetical experiment where a soft pulse specified by the user is performed, immediately followed by an ideal pi/2 pulse on all spins followed by infinite-bandwidth time-domain detection.

Syntax

    fids=deer_4p_soft_hole(spin_system,parameters,H,R,K)

Arguments

   parameters.pulse_frq  - frequencies for the four 
                           pulses, Hz

   parameters.pulse_pwr  - power levels for the four
                           pulses, rad/s

   parameters.pulse_dur  - durations for the four
                           pulses, seconds

   parameters.pulse_phi  - initial phases for the four 
                           pulses, radians

   parameters.pulse_rnk  - Fokker-Planck ranks for the
                           four pulses

   parameters.offset     - receiver offset for the time
                           domain detection, Hz

   parameters.sweep      - sweep width for time domain
                           detection, Hz

   parameters.npoints    - number of points in the free
                           induction decay 

   parameters.rho0       - initial state

   parameters.coil       - detection state

   parameters.method     - soft puse propagation method,
                           'expv' for Krylov propagation,
                           'expm' for exponential propa-
                           gation, 'evolution' for Spin-
                           ach evolution function

   H  - Hamiltonian matrix, received from context function

   R  - relaxation superoperator, received from context function

   K  - kinetics superoperator, received from context function

Outputs

   fids  - four free induction decays that should be apo-
           dised and Fourier transformed

Examples

A good case is the first figure produced by examples/esr_solids/soft_4_pulse_deer_2e.m example file, reproduced below.

Pulse effect 4p.png

Notes

For the method, start with 'expm', change to 'expv' if the calculation runs out of memory, and use 'evolution' as the last resort.

See also

deer_3p_hard_echo.m, deer_3p_hard_deer.m, deer_analyt.m, eseem.m, oopeseem.m, deer_4p_soft_deer.m, deer_4p_soft_diag.m, deer_3p_soft_deer.m, deer_3p_soft_hole.m, deer_3p_soft_diag.m


Version 2.4, authors: Ilya Kuprov