Abstract

We carry out the recursion-relation analysis for the optical pumping scheme to polarize nuclei by a sequence of short laser pulses and show that such analysis agrees very well with the numerical solution of density matrix equations. A small difference between the results obtained by the numerical solution of density matrix equations and recursion-relation analysis arises from the contribution of the very small populations remaining in excited states when the next pulse arrives, and the difference becomes smaller if the pulse interval is chosen to be much longer than the spontaneous lifetime of the excited states.

© 2011 Optical Society of America

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