In many Tokamak devices, laser interferometers, such as HCN,
DCN, CO2, etc, are employed to measure the plasma electron density
by calculating the phase difference between the reference signal and
the detector signal. This paper proposes an adaptive All-phase fast
Fourier transform (Ap-FFT) method in the electronic density of the
plasma. And analyze the reasons why the multi-frequency measurement
phase is inaccurate. The proposed method can reduce the accuracy of
phase calculation by adjusting the conversion length and mixed-radix
to reduce the spectrum leakage and grid effect. At the same time,
the experimental data verifies the correctness of the calculation
results of this method, and it shows that the measurement
uncertainty of the method is 10% higher than the 1024-point Ap-FFT,
and 15% higher than the 1024-point FFT. This method can be
effectively applied to the measurement of the electronic density of
an ionic plasma for plasma and provides a valuable reference for
other phase detection systems and equipment.