Three Geometrical Modifications of the Surface-Impedance Experiment in Low Magnetic Fields

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Abstract
Bound states of electrons trapped by a magnetic field along a smooth metal surface are known as "magnetic surface levels." Transitions between these levels have been observed in conventional surface-impedance measurements. We here consider three geometrical modifications of the conventional semi-infinite half-space bounded by a plane surface. The first geometry employs a slab of finite thickness. The second considers a surface which is circularly cylindrical, rather than plane. The third considers a surface ruled periodically, like a grating. The experimental consequences are explored, and it is found that parameters inaccessible by other methods may be extracted from such experiments. There are also definite new effects predicted which will provide crucial tests of the magnetic-surface-level hypothesis.

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