O.V. Prokopenko, D.A. Bozhko, V.S. Tyberkevych et al. https://doi.org/10.15407/ujpe64.10.888 O.V. PROKOPENKO, 1 D.A. BOZHKO, 2, 3 V.S. TYBERKEVYCH, 4 A.V. CHUMAK, 5, 6 V.I. VASYUCHKA, 6 A.A. SERGA, 6 O. DZYAPKO, 7 R.V. VERBA, 8 A.V. TALALAEVSKIJ, 9 D.V. SLOBODIANIUK, 1 YU.V. KOBLJANSKYJ, 1 V.A. MOISEIENKO, 1 S.V. SHOLOM, 10 V.YU. MALYSHEV 1 1 Taras Shevchenko National University of Kyiv, Faculty of Radiophysics, Electronics, and Computer Systems (Kyiv 01601, Ukraine; e-mail: oleksandr.prokopenko@gmail.com) 2 James Watt School of Engineering, University of Glasgow (Glasgow G12 8LT, United Kingdom) 3 Department of Physics and Energy Science, University of Colorado at Colorado Springs (Colorado Springs CO 80918, USA; e-mail: dbozhko@uccs.edu) 4 Department of Physics, Oakland University (Rochester MI 48309, USA; e-mail: tyberkev@oakland.edu) 5 Faculty of Physics, University of Vienna (A-1090 Wien, Austria; e-mail: andrii.chumak@univie.ac.at) 6 Fachbereich Physik and Landesforschungszentrum OPTIMAS, Technische Universit¨ at Kaiserslautern (67663 Kaiserslautern, Germany; e-mail: vasyucka@physik.uni-kl.de, serga@physik.uni-kl.de) 7 Institute for Applied Physics and Center for Nonlinear Science, University of Muenster (48149 M¨ unster, Germany; e-mail: odzyapko@gmail.com) 8 Institute of Magnetism (Kyiv 03680, Ukraine; e-mail: verrv@ukr.net) 9 Department of Physics, University of Regensburg (Regensburg 93053, Germany; e-mail: aleksandrtaloon@gmail.com) 10 Department of Physics, Oklahoma State University (Stillwater, OK 74074, USA; e-mail: sergey.sholom@okstate.edu) RECENT TRENDS IN MICROWAVE MAGNETISM AND SUPERCONDUCTIVITY We review the development trends in microwave magnetism and superconductivity over the last five decades. The review contains the key results of recent studies related to the promising areas of modern magnetism and applied physics – spintronics, magnonics, magnon caloritronics, physics of magnonic crystals, spin-wave logic, and the development of novel micro- and nano- scale magnetic devices. The main achievements in these fields of physics are summarized and generalized. Keywords: spin wave, magnonic crystal, spin-wave logic, spin-wave soliton, spin-wave bul- let, spin-wave droplet, parametric pumping, magnon gas, kinetic instability, Bose–Einstein condensate, magnon superfluidity, high-temperature superconductivity, Josephson junction, microwave devices. c ○ O.V. PROKOPENKO, D.A. BOZHKO, V.S. TYBERKEVYCH, A.V. CHUMAK, V.I. VASYUCHKA, A.A. SERGA, O. DZYAPKO, R.V. VERBA, A.V. TALALAEVSKIJ, D.V. SLOBODIANIUK, YU.V. KOBLJANSKYJ, V.A. MOISEIENKO, S.V. SHOLOM, V.YU. MALYSHEV, 2019 1. Introduction A revision of the basic concepts of physics in the 1920s and 1930s led to the intense development of its many fields, including the solid state physics. The use of quantum mechanics made it possible to explain the phenomenon of superconductivity, discovered in 1911 by H. Kamerlingh Onnes [1]. Newly formed quantum 888 ISSN 2071-0194. Ukr. J. Phys. 2019. Vol. 64, No. 10