All-optical conversion from phase-modulated signals to intensity-modulated signals is theoretically demonstrated in semiconductor optical amplifiers (SOAs). Large-signal and small-signal calculations show significant conversion responses appearing as a result of even minute reflections at the end mirrors of the SOA. It is discussed how reflected phase-modulated signals can lead to interference resulting in intensity fluctuations that are amplified by the gain in a SOA. The effect can be utilized for deliberate conversion between optical modulation formats.