The stable alignment of an oscillator's phase with an external periodic signal.Phase locking is a phenomenon where an oscillator's rhythm becomes synchronized to an external periodic signal, so that the oscillator repeats its cycle at a fixed phase relative to that signal. Imagine a child swinging on a swing: if you push at the right moment each cycle, the swing's motion locks to your pushes, always reaching its highest point at the same time relative to your push. Phase locking is a form of synchronization that occurs in many natural and engineered systems, from heart cells firing in unison to lasers emitting coherent light.
The concept was formalized in the 17th century when Christiaan Huygens observed that two pendulum clocks hung on a common wall became synchronized, but the mathematical theory of phase locking was developed later, notably by Balthasar van der Pol in the 1920s and further by Yoshisuke Ueda and others in the 20th century.
An oscillator has a natural frequency, but when coupled to a periodic external force, it can adjust its frequency to match the force's frequency (or a rational multiple of it). This adjustment happens because the oscillator's phase — its position within its cycle — is pulled toward a stable relationship with the external signal. If the coupling is strong enough and the frequency difference is not too large, the oscillator locks, and small perturbations are corrected automatically, keeping the phase relationship stable.
Phase locking is essential in phase-locked loops (PLLs), which are used in radio communications, frequency synthesizers, and clock recovery circuits in digital electronics.
Fireflies of certain species flash in unison because their internal oscillators phase-lock to each other's light signals, a phenomenon that can be observed in Southeast Asian mangrove forests.









