deer_3p_hard_echo.m

Samples the spin echo in the three-pulse DEER experiment to determine its precise location - DEER spin echo can be narrow and easy to miss. For high-spin electrons the echo may not be in the expected place. Idealized hard pulses are used, each pulse only affects its specific electron or transition, depending on the pulse operators supplied.

Syntax

    echo=deer_3p_hard_echo(spin_system,parameters,H,R,K)


Arguments

     parameters.ex_prob   - probe pulse operator

parameters.ex_pump   - pump pulse operator

parameters.ta        - time between first and third pulse, s

parameters.tb        - time between first and second pulse, s

parameters.tc        - time interval to sample around the
echo, s

parameters.rho0      - initial condition

parameters.nsteps    - number of sampling steps in the tc
interval

parameters.coil      - detection state

H  - Hamiltonian matrix, received from context function

R  - relaxation superoperator, received from context function

K  - kinetics superoperator, received from context function


Outputs

     echo - the signal detected during the parameters.tc interval
with parameters.nsteps points in it


Examples

The echoes for DEER experiments with a two Cu(II) ions (top, examples/esr_solids/hard_3_pulse_echo_cu.m) and two Gd(III) ions (bottom, examples/esr_solids/hard_3_pulse_echo_gd.m) are shown below.