Theory of transmission resonance in ferromagnetic metals

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Abstract
The dispersion relations for ferromagnetic metal applied to a plate configuration give for the ferromagnetic antiresonance, or transmission resonance, the characterizing frequency or field, the microwave penetration depth, and the transmitted line width. In addition, numerical calculation of the transmission spectrum yields the resonance line shape. The calculation is in satisfactory agreement with the experimental results reported by Heinrich and Cochran, using either spin‐free or spin‐pinned boundary conditions. The theoretical area density of transmitted power is very sensitive to the values of conductivity and magnetic damping. Thus, transmission resonance should be observable through 100 micron films of supermalloy but not ordinary permalloy or nickel. It is pointed out that although increased magnetic damping tends to broaden the transmitted line width, increased conductivity tends to narrow it.

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