Scattering Theory of Small-Particle Absorption: Cyclotron and Magnetoplasma Resonance

The excitation of a small ellipsoidal sample in an electromagnetic cavity is treated quantitatively as a two-wave Rayleigh-scattering problem. Application to the special case of a solid-state magnetoplasma shows that magnetoplasma resonance occurs when ${\kappa }^{\prime }=-\left(\frac{1}{L-1\mathrm{}}\right)$, with strength proportional to $\frac{1}{{\kappa }^{\prime \prime }}$, and approximate half-width ${\kappa }^{\prime \prime }$, where $\kappa ={\kappa }^{\prime }+i{\kappa }^{\prime \prime }$ is the net bulk dielectric constant of the material comprising the ellipsoid, and $L$ is the mks depolarization factor. New methods of deducing transport parameters from magnetoplasma resonance are outlined.