A possible mechanism for the direct generation of dipolar order in a couple
d nuclear spin system by optical pumping is investigated theoretically. Thi
s work is motivated by recent optically pumped nuclear magnetic resonance e
xperiments on single-crystal indium phosphide wafers, which have revealed t
hat optical pumping can generate a state of nuclear spin dipolar order in a
system of coupled spins without the application of radiofrequency fields o
r pulse sequences. The theory proceeds by evaluating the steady-state popul
ations of the eigenstates of a coupled nuclear spin system when simultaneou
s nuclear and electron spin transitions are driven by fluctuating hyperfine
couplings of the nuclei to an electron with a non-equilibrium spin polariz
ation. In the case of two coupled spin-1/2 nuclei, substantial dipolar orde
r results when the hyperfine couplings are of the dipolar, but not the Ferm
i contact, type.