The possibility of solving the problem of overcoming the diffraction limit in anisotropic media is discussed. Experimentally and theoretically demonstrated the occurrence of the superresolution effect, in which a distinct shadow from a point object is observed at distances much larger than the values obtained from the Rayleigh resolvability criterion. In particular, on the example of diffraction of spin waves with wavelength λ, the possibility of a distinct shadow from a through-hole in a ferrite film with diameter d < λ at a distance L ⪢ λ has been proved. It is established that superdirectional wave propagation and super-resolving shadow from the object arise in the direction of the normal to the isofrequency dependence of the wave at the inflection point. The criterion of resolvability is formulated, which makes it possible to carry out evaluation calculations for waves in anisotropic media and confirms the possibility of superdirectional and superresolution effects in them.

Typically, an English full text is available in about 1 month from the date of publication of the original article.

Keywords: diffraction, spin wave, superresolution effect, superdirectional wave propagation, criterion of resolvability PACS: 41.20.Gz, 41.20.Jb, 42.25.Fx, 75.70.−i (all) DOI: 10.3367/UFNe.2026.03.040105 URL: https://ufn.ru/en/articles/2026/4/e/ Citation: Lock E H, Gerus S V, Sadovnikov A V "Superresolution effect and resolvability criterion for the waves in anisotropic media" Phys. Usp. 69 (4) (2026) Received: 16th, April 2025, revised: 28th, January 2026, accepted: 5th, March 2026 Оригинал: Локк Э Г, Герус С В, Садовников А В «Эффект сверхразрешения и критерий разрешимости для волн в анизотропных средах» УФН 196 403–421 (2026); DOI: 10.3367/UFNr.2026.03.040105