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Phase focusing, also known as phase stability, is a principle that allows for the stable acceleration of charged particles in cyclic accelerators. This concept, independently described by Edwin McMillan and Vladimir Veksler in 1945, addresses a limitation in resonance accelerators for protons.1

In essence, phase focusing ensures that particles remain in sync with the accelerating electric fields. If a particle arrives too early or too late in an oscillating electric field, the field adjusts to keep the particle in phase, preventing it from falling out of sync. This phenomenon allows for the construction of magnetic resonance accelerators, such as synchrotrons, capable of accelerating particles to higher energies than previously possible. The implementation of phase focusing has been crucial for the development of modern particle accelerators used in scientific research.1

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