Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Magnetic normal modes of nano-elements



Robert McMichael, Mark D. Stiles


Micromagnetic calculations are used to determine the eigenfrequencies and precession patterns of some of the lowest-frequency magnetic normal modes of submicron patterned elements. For a Permalloy-like ellipse, 350 nm ¿ 160 nm ¿ 5 nm thick in zero field, the lowest frequency normal mode at 4 GHz corresponds to precession in the "ends" of the ellipse. This mode is not predicted by quantization of wavevectors in the confined geometry. The eigenmodes of a normally magnetized 50 nm diameter ¿ 15 nm thick cobalt disk are calculated. The calculated eigenfrequencies increase linearly with applied field, mimicking the behavior of the experimental critical current for spin transfer instabilities in an experimental realization of this disk.
Journal of Applied Physics


eigenfrequencies, magnetic normal modes, nano-elements, submicron patterned elements


McMichael, R. and Stiles, M. (2005), Magnetic normal modes of nano-elements, Journal of Applied Physics (Accessed July 20, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created May 14, 2005, Updated October 12, 2021