The frequency of a PbSnTe diode laser around 10.6 μm was stabilized under very small frequency modulation to one of the absorption lines of C
2H
4in the ν
7band. The frequency control and modulation were performed by the injection current. The minimum modulation width in this experiment was analytically determined to be 1.1 MHz. From analysis of a linear approximate model for the experimental system, the frequency fluctuation, which represents peak-to-peak width during 5 min, including the modulation width, was estimated to be

. This value was about two orders larger than the value obtained by the ordinary method, which is a simple conversion of the control error signal.