Nonlinear Parallel-Pumped FMR: Three and Four Magnon Processes

Aneesh Venugopal, Tao Qu, R. H. Victora

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15 Scopus citations


The nonlinear response of a magnetic thin film subject to microwave radiation is quantitatively predicted in the steady state. Three- and four-magnon processes are shown to cause this nonlinearity with a strong dependence on magnetic bias field, microwave frequency, and applied power. Predictions are calculated using large-scale micromagnetic simulations executed on graphics processing units (GPUs) and include thermal fluctuations. A 2-D simulation paradigm is proposed for reducing the resource requirements while being able to capture the qualitative and quantitative behavior of the significant microwave-ferromagnet interactions in the parallel pumping configuration. A mathematical formalism specific to thin films is then developed to explain the aforementioned behavior of such magnetic materials based on their predicted magnon dispersion relation. The simulated predictions for high-power (nonlinear) performance are in close agreement with experiment even though the material parameters are only taken from low-power (linear) data.

Original languageEnglish (US)
Article number8935514
Pages (from-to)602-610
Number of pages9
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number2
StatePublished - Feb 2020

Bibliographical note

Funding Information:
Manuscript received May 22, 2019; revised August 31, 2019; accepted October 17, 2019. Date of publication December 17, 2019; date of current version January 31, 2020. This work was supported in part by the U.S. Defense Advanced Research Projects Agency (DARPA) under Grant W911NF-17-1-0100, in part by the Center for Micromagnetics and Information Technologies, in part by NSF through Extreme Science and Engineering Discovery Environment (XSEDE) under Grant ACI-1548562, and in part by the Minnesota Supercomputing Institute (MSI). (Corresponding author: Aneesh Venugopal.) A. Venugopal and R. H. Victora are with the Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN 55455 USA (e-mail: [email protected]; [email protected]).

Publisher Copyright:
© 1963-2012 IEEE.


  • Ferromagnetic resonance (FMR)
  • frequency-selective limiters (FSLs)
  • magnon
  • micromagnetics
  • nonlinear response
  • parallel pump
  • parametric pumping
  • spin waves
  • yttrium iron garnet (YIG)


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