By Alexander G. Gurevich, Gennadii A. Melkov
Written via famous researchers within the box, this beneficial reference takes an utilized method of excessive frequency procedures together with oscillations and waves in ferromagnets, antiferromagnets, and ferrimagnets. difficulties evaluated contain ferromagnetic and antiferromagnetic resonances, spin waves, nonlinear techniques, and excessive frequency manifestations of interactions among the magnetic approach and different structures of magnetically ordered elements as elastic waves and cost carriers.Unlike prior monographs in this topic, that are hugely theoretical and written for extraordinarily complex readers, this ebook calls for basically a normal university historical past in arithmetic and experimental physics. it is going to be a necessary addition to the library of engineers and scientists in examine and improvement for communications purposes, and scientists drawn to nonlinear magnetic phenomena. It additionally serves as a good advent to the subject for newbies within the field.Magnetization Oscillations and Waves not just provides effects but in addition indicates readers the way to receive them; such a lot formulation are derived with such a lot of information that readers can reproduce them. The e-book comprises many summaries and tables and designated references to major paintings within the sector by way of eu researchers.
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Sample text
1). IF K\ < 0, DIRECTIONS (111) ARE THE EASY AXES, AND DIRECTIONS (100) ARE THE HARD AXES. WHEN K ^ 0 BUT \K \ < (9/4)| A'I |, THE EASY AND HARD DIRECTIONS ARE THE SAME AS IN THE CASE OF K = 0. 1) IF THE EXTERNAL ELASTIC STRESSES ARE PRESENT. 8). IT SHOULD BE NOTED THAT THE UNIFORM MAGNETIZATION OF THE WHOLE SAMPLE IS NOT ALWAYS THE EQUILIBRIUM STATE. 1). IN THE PRESENT CHAPTER WE ASSUME THE EXTERNAL FIELD TO BE HIGH ENOUGH TO MAGNETIZE THE SAMPLE TO SATURATION. AND, IF WE CONSIDER ELLIPSOIDAL SAMPLES IN A UNIFORM EXTERNALFIELD,THE EQUILIBRIUM MAGNETIZATION IS ALSO UNIFORM.
FROM ( 1 . 1 1 7 ) AND ( 1 . 1 1 8 ) IT FOLLOWS, FOR AN ELLIPSOID OF REVOLUTION, THAT E AH J' X = M. 120) 0 FOR AN ARBITRARY ELLIPSOID, A FACTOR OF THE ORDER OF UNITY WILL APPEAR IN ( 1 . 1 2 0 ) . THE COMPONENTS OF THE AC MAGNETIZATION FOR FORCED OSCILLATIONS CAN BE EASILY CALCULATED, USING THE EXPRESSIONS OBTAINED FROM ( 1 . 1 1 3 ) — ( 1 . 1 1 5 ) BY THE SUBSTITU TION ( 1 . 6 8 ) . THE POLARIZATION OF OSCILLATIONS CAN BE ALSO FOUND. , THE ELLIPTICITY IS SMALL) EVEN IN THE CASE OF LINEAR POLARIZATION OF THE EXTERNAL AC MAGNETIC FIELD.
We are not concerned about the processes at the boundaries between different media, which are important only 31 2 Anisotropic ferromagnet 32 for very small ferromagnetic bodies. Therefore, we shall deal only with volume densities of internal U\ or free Uf energy. 1) f 1 where 5 is the volume density of entropy. 1) in many cases is not written explicitly but 'spread' over the whole expression for Uf. All constants in this expression, as well as the magnetization M, become then functions of temperature.