Abstract

We derive a lumped circuit model for inductive antenna spin-wave transducers in the vicinity of a ferromagnetic medium. The model considers the antenna’s Ohmic resistance, its inductance, as well as the additional inductance due to the excitation of ferromagnetic resonance or spin waves in the ferromagnetic medium. As an example, the additional inductance is discussed for a wire antenna on top of a ferromagnetic waveguide, a structure that is characteristic for many magnonic devices and experiments. The model is used to assess the scaling properties and the energy efficiency of inductive antennas. Issues related to scaling antenna transducers to the nanoscale and possible solutions are also addressed.

Highlights

  • We derive a lumped circuit model for inductive antenna spin-wave transducers in the vicinity of a ferromagnetic medium

  • Ferromagnetic resonance (FMR) has found applications in microwave resonators, oscillators, and filters based on Yttrium iron garnet (YIG)[4,5]

  • FMR or spin waves are excited by microwave electrical signals, employing transducers between electric and magnetic domains

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Summary

Introduction

We derive a lumped circuit model for inductive antenna spin-wave transducers in the vicinity of a ferromagnetic medium. A microwave (radio-frequency, RF) current I inside an inductive antenna generates an oscillating magnetic Oersted field Ha(r) = ha(r)I that can excite both resonant and nonresonant (evanescent) spin waves in an adjacent magnetic medium.

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