:Regarding a cyclotron, it seems it does actually emit as you expect ( see cyclotron radiation and synchrotron radiation ), because those actually do have particles orbitting.
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Deceleration of a free charged particle, such as an electron, can produce visible radiation : cyclotron radiation, synchrotron radiation, and bremsstrahlung radiation are all examples of this.
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:I'll note that the cyclotron radiation ( or synchrotron radiation, if you get going that fast ) is going to kill your energy budget if you use a conventional ring-shaped accelerator.
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The energy for the ionization and cyclotron radiation would come from the spacecraft's kinetic energy, slowing the spacecraft . The cyclotron radiation from the acceleration of particles would be an easily detected howl in radio frequencies.
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The energy for the ionization and cyclotron radiation would come from the spacecraft's kinetic energy, slowing the spacecraft . The cyclotron radiation from the acceleration of particles would be an easily detected howl in radio frequencies.
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In the context of magnetic fusion energy, cyclotron radiation losses translate into a requirement for a minimum plasma energy density in relation to the magnetic field energy density ( see Aneutronic fusion # Power density and energy balance ).
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Gamma rays produced by the explosion would ionize atoms in the upper atmosphere and those free electrons would interact with the Earth's magnetic field to produce cyclotron radiation in the form of an electromagnetic pulse ( EMP ).
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The article Cyclotron radiation ( which is radiation specifically from a charge in a magnetic field ) is probably closest to what you're looking for, but it isn't very detailed, and there is no derivation.
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Broadly speaking, Bremsstrahlung or " braking radiation " is any radiation produced due to the deceleration ( negative acceleration ) of a charged particle, which includes synchrotron radiation, cyclotron radiation, and the emission of electrons and positrons during beta decay.
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