Abstract
Abstract We derive a general expression for the electromagnetic field radiated by a relativistic charged particle with arbitrary periodic orbit, in the form of multi-pole expansion of the Liénard–Wiechert potential, which explicitly includes the charged particle motion. Using this expression, we discuss the orbital angular momentum radiated from a relativistic charged particle. It has recently been indicated that the radiation emitted by circularly orbiting charged particles carries well-defined orbital angular momentum. We show that, even for the general cases of arbitrary periodic orbits, the radiation field possesses well-defined orbital angular momentum.
Highlights
Electromagnetic waves carry energy and linear momentum and angular momentum.In particular, it is well known that electromagnetic waves carry spin angular momentum, which is associated with circular polarization
It has recently been indicated that the radiation emitted by circularly orbiting charged particles carries well-defined orbital angular momentum
It is well known that electromagnetic waves carry spin angular momentum, which is associated with circular polarization
Summary
Hiroshima Synchrotron Radiation Center, Hiroshima University, 2-313 Kagamiyama, Higashi-Hiroshima, Hiroshima 739-0046, Japan. We derive a general expression for the electromagnetic field radiated by a relativistic charged particle with arbitrary periodic orbit, in the form of multi-pole expansion of the Liénard–Wiechert potential, which explicitly includes the charged particle motion. Using this expression, we discuss the orbital angular momentum radiated from a relativistic charged particle. It has recently been indicated that the radiation emitted by circularly orbiting charged particles carries well-defined orbital angular momentum. Even for the general cases of arbitrary periodic orbits, the radiation field possesses well-defined orbital angular momentum
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