Davies, Carl S.
Low Temperature Physics
American Institute of Physics (AIP)
The wave solutions of the Landau–Lifshitz equation (spin waves) are characterized by some of the most complex and peculiar dispersion relations among all waves. For example, the spin-wave (“magnonic”) dispersion can range from the parabolic law (typical for a quantum-mechanical electron) at short wavelengths to the nonanalytical linear type (typical for light and acoustic phonons) at long wavelengths. Moreover, the long-wavelength magnonic dispersion has a gap and is inherently anisotropic, being naturally negative for a range of relative orientations between the effective field and the spin-wave wave-vector. Nonuniformities in the effective field and magnetization configurations enable the guiding and steering of spin waves in a deliberate manner and there-fore represent landscapes of graded refractive index (graded magnonic index). By analogy to the fields of graded-index photonics and transformation optics, the studies of spin waves in graded magnonic landscapes can be united under the umbrella of the graded-index magnonics theme and are reviewed here with focus on the chal-lenges and opportunities ahead of this exciting research direction.
Engineering and Physical Sciences Research Council (EPSRC)
The following article has been accepted by Low Temperature Physics. After it is published, it will be found at http://scitation.aip.org/content/aip/journal/ltp
This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics or Institute for Low Temperature Physics and Engineering (Kharkov, Ukraine).
The published version can be found at http://hdl.handle.net/10871/22077
Vol. 41 (10)