TY - JOUR AU - Popov, M. A. PY - 2019/01/18 Y2 - 2024/03/28 TI - Parametric Excitation of Surface Magnetostatic Modes in an Axially Magnetized Elliptic Cylinder under Longitudinal Pumping JF - Ukrainian Journal of Physics JA - Ukr. J. Phys. VL - 60 IS - 5 SE - Solid matter DO - 10.15407/ujpe60.05.0452 UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019237 SP - 452 AB - <p>A rigorous analytical theory of parametric excitation under the longitudinal pumping has been developed for the surface magnetostatic modes of a long elliptic ferrite cylinder magnetized along its axis with regard for the boundary conditions at the surface of the cylinder. It is shown that a pair of frequency-degenerated counter-propagating surface modes at half the pumping frequency can be parametrically excited, and the expressions for the corresponding parametric excitation threshold have been derived. The threshold demonstrates a strong dependence on the mode number and elliptic cylinder’s aspect ratio and tends from above for the large aspect ratio to the value deduced on the basis of the plane-wave analysis. The simple analytical relation between the ratio of axes of the high-frequency magnetization polarization ellipse of excited surface magnetostatic oscillations and the parametric excitation threshold is obtained, discussed, and graphically illustrated.</p> ER -