We investigate the magnetization dynamics in circular Permalloy dots with spatially separated magnetic vortices interconnected by domain walls (double vortex state). We identify a novel type of quasi one-dimensional (1D) localised spin wave modes confined along domain walls, connecting each of two vortex cores with two edge half-antivortices. Variation of the mode eigenfrequencies with the dot size is in quantitative agreement with the developed model, which considers a dipolar origin of the localized 1D spin waves or so-called Winter\'s magnons [J.M. Winter, Phys.Rev. 124, 452 (1961)]. These spin waves are analogous to the displacement waves of strings, and could be excited in a wide class of patterned magnetic nanostructures possessing domain walls, namely in triangular, square, circular or elliptic magnetic dots.
@article{arxiv.1201.0482,
title = {Localized domain-wall excitations in patterned magnetic dots probed by broadband ferromagnetic resonance},
author = {F. G. Aliev and A. A. Awad and D. Dielman and A. Lara and V. Metlushko and K. Y. Guslienko},
journal= {arXiv preprint arXiv:1201.0482},
year = {2012}
}