Deer 3p soft deer.m

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Three-pulse DEER/PELDOR pulse sequence. The sequence uses soft pulses computed with the Fokker-Planck formalism. Syntax:

           deer=deer_3p(spin_system,parameters,H,R,K)

where H is the Hamiltonian commutation superoperator, R is the relaxation superoperator and K is the chemical kinetics super- operator. The following parameters are required:

     parameters.pulse_frq  - frequencies for the 
                             three pulses, Hz
     parameters.pulse_pwr  - power levels for the three
                             pulses, Hz
     parameters.pulse_dur  - durations for the three
                             pulses, seconds
     parameters.pulse_phi  - initial phases for the three 
                             pulses, radians
     parameters.pulse_rnk  - Fokker-Planck ranks for the
                             three pulses
     parameters.p1_p3_gap  - time between the first and the
                             third pulses, seconds
     parameters.p2_nsteps  - number of second pulse posi-
                             tions in the interval between
                             the first and the third pulse
     parameters.echo_time  - time to sample around the ex-
                             pected echo position
     parameters.echo_npts  - number of points in the echo
                             discretization
     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