According to McCumber [1] a Gunn diode with an ohmic cathode (i.e., "differential cathode conductivity"

) is stable in a constant-voltage circuit if

cm
-2where

is the doping-length product. We show that the same stability criterion applies to Gunn diodes with an injection-limiting cathode

, if

is allowed to be a function of

. The value of

increases by 30 percent if

varies from infinity (ohmic cathode) to zero (injection-limiting cathode). If a cathode with negative differential conductivity is realizable, it may be possible to extend the

region of stable operation of Gunn diodes drastically.