Abstract— The paper extends study of dipole-exchange spin waves in a ferromagnetic nanotube with a circular cross-section started by the author in the previous paper. The proposed model considers the magnetic dipole-dipole interaction, the exchange interaction, the anisotropy effects, the damping effects, the general boundary conditions and the existence of both volume and surface modes for the considered spin waves. Therefore, a new method of obtaining the values’ spectrum of the orthogonal (to the translation axis) wavenumbers for the investigated spin waves is proposed in addition to the previously obtained dispersion law. The method is based on the application of general boundary conditions for the magnetic field on a superposition of the above-mentioned modes. The obtained spectrum is shown to be a quasi-one-dimensional one – similar to that in a thin ferromagnetic field – for typical ferromagnetic nanotubes. Exploitation of the above-mentioned method essentially extends the area of application of the obtained results compared to the previous paper.
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