The electric field in a lossless, regularly-pumped micromaser with inj
ected atomic coherence can undergo a period-two oscillation in the ste
ady state. The field changes its value after a single atom passes thro
ugh the micromaser cavity, but returns to its original value after a s
econd atom travels through. We give a simple explanation for this phen
omenon in terms of tangent and cotangent states. We also examine the e
ffect of cavity damping on this steady state.