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For space gravitational wave (GW) detection, arm locking is a proposal usefulin decreasing the frequency noise of the laser sources for current developingspace missions LISA and TAIJI/TIANQIN. In this paper, we study the applicationof arm locking to the Astronomical Middle-frequency InterferometricGravitational Observatory (AMIGO) to decrease the frequency noise of lasersources. For AMIGO, the arm-locking technique can suppress the laser frequencynoise by three orders of magnitude. The advantage of this is to make theauxiliary noise assignment for AMIGO easier and more relaxed. For thefirst-generation time-delay interferometry (TDI) configuration, the laserfrequency noise contribution is already below the core noise contribution. Forthe simple Michelson TDI configuration (X0), the arm locking makes theacceleration-thrust scheme, the delay-line scheme, or the combined schemeeasier to implement. Within a relatively short period of less than a day(compared to less than twenty days for LISA/TAIJI), the Doppler frequencypulling can be efficiently reduced to within $\pm$ 0.001 Hz and does not affectthe mission duty cycle much.

Arm-Locking Frequency Noise Suppression for Astronomical Middle-Frequency Interferometric Gravitational Observatory