Confinement quantization of parallel pump instability threshold in a metallic ferromagnetic stripe

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Lateral quantization of an excitation in a confined geometry is shown to lead to multiple cutoff thresholds for parametric processes. This idea is illustrated with a calculation of parallel pump instability thresholds for a ferromagnetic metallic stripe. The lateral quantization by the strip geometry results in thresholds which change discontinuously with increasing stripe width. Magnetostatic interactions create a secondary fine structure of kinks on the threshold curve. This effect should be possible to detect experimentally and be used for precise measurement of microwave losses in patterned magnetic metals.