Analysis of Cyclotron Absorption in Bismuth

Classical magnetoionic theory is used for calculating the absorption of microwaves in bismuth in the presence of a dc magnetic field. The detailed calculations are based on the models of the energy surfaces in momentum space for holes and electrons obtained from de Haas-van Alphen and galvanomagnetic experiments. Expressions are derived for the conductivities and resonance masses. Numerical computations of absorption $\mathrm{vs}$ magnetic field are made using the data from Shoenberg's de Haas-van Alphen experiments for the masses of the electrons. Since some of the experimental data for the holes is incomplete, the analysis takes this into account through the use of several choices of hole masses. The results are compared with those of preliminary microwave experiments. The limitations of the analysis, which neglects the anomalous skin effect and possible anisotropy of scattering, are discussed.