With the master laser removed or turned off, the high-power laser would typically not even emit on a single frequency, or at least with a much higher intensity and phase noise. Injection locking makes it easier to achieve good noise properties, comparing with the attempt of directly obtaining low-noise performance of a high-power laser. It is also possible to drive multiple slave lasers with a single master laser.
A possible alternative would be to simply use an optical amplifier, but particularly with high-power amplifiers it is often difficult to achieve as much gain as with injection looking. Also, the noise properties can be substantially better with injection looking.
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