We have analyzed the behavior of a diode laser with low-amplitude opti
cal injection, The noisy injection field has phase fluctuations only,
with a linewidth larger than both the free-running stave laser linewid
th and the locking range, Simulations show that the laser output spect
rum can be much narrower than the injection spectrum and may have a di
p at the free-running laser frequency, A model describing these featur
es is based on linear superposition of the stationary responses to mon
ochromatic injection, The mechanism of line narrowing is that the resp
onse to injection outside the locking range lies mainly inside.