Resonances of a Small Plasma Sphere in a Magnetic Field

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Abstract
Resonances of a sphere of plasma in a magnetic field are discussed for a radius small compared to the wavelength of the incident radiation. There are two classes of resonances: radius independent and radius dependent. The former are the electrical analog of the resonant modes originally observed in ferrites by White and Solt. The latter are related to the electromagnetic resonances of a dielectric sphere. Although some of the approximations used in calculating the electromagnetic resonances are not obviously valid, they give remarkably good agreement with experiments on small spheres of indium antimonide. In particular, it is shown that a strong resonance is associated with a mode which is essentially a rotating magnetic dipole.