Abstract
This paper presents a system-level efficiency analysis, a rapid design methodology, and a numerical demonstration of efficient sub-micron, spin-wave transducers in a microwave system. Applications such as Boolean spintronics, analog spin-wave-computing, and magnetic microwave circuits are expected to benefit from this analysis and design approach. These applications have the potential to provide a low-power, magnetic paradigm alternative to modern electronic systems, but they have been stymied by a limited understanding of the microwave, system-level design for spin-wave circuits. This paper proposes an end-to-end microwave/spin-wave system model that permits the use of classical microwave network analysis and matching theory towards analyzing and designing efficient transduction systems. This paper further compares magnetostatic-wave transducer theory to electromagnetic simulations and finds close agreement, indicating that the theory, despite simplifying assumptions, is useful for rapid yet accurate transducer design. It further suggests that the theory, when modified to include the exchange interaction, will also be useful to rapidly and accurately design transducers launching magnons at exchange wavelengths. Comparisons are made between microstrip and co-planar waveguide lines, which are expedient, narrowband, and low-efficiency transducers, and grating and meander lines that are capable of high-efficiency and wideband performance. The paper concludes that efficient microwave-to-spin-wave transducers are possible and presents a meander transducer design on YIG capable of launching varvec{lambda = 500},nm spin waves with an efficiency of − 4.45 dB and a 3 dB-bandwidth of 134 MHz.
Highlights
This paper presents a system-level efficiency analysis, a rapid design methodology, and a numerical demonstration of efficient sub-micron, spin-wave transducers in a microwave system
This paper demonstrates a practical framework for designing matching networks (MN) of spin-wave transducers that enables efficient, wide-band transduction systems
Where l is the transducer length, ω is angular frequency, μo is the permeability of free space, χd is the diagonal component of the Polder susceptibility tensor[21,22,35], kn is the wavenumber for the nth mode, d is the film thickness, ri is the intrinsic radiation resistance described further below, and JsFT is the spatial Fourier transform (FT) of the cross-section of the surface current density normalized by the applied current, Ia
Summary
(SNEs) and frequency-selective limiters (FSLs) require highly absorptive materials that behave non-linearly when excited by high RF input-powers. Where l is the transducer length, ω is angular frequency, μo is the permeability of free space, χd is the diagonal component of the Polder susceptibility tensor[21,22,35] (see section Supplemental S2 for more), kn is the wavenumber for the nth mode (see section Supplemental S4 for a discussion on the dispersion relation), d is the film thickness, ri is the intrinsic radiation resistance described further below, and JsFT is the spatial Fourier transform (FT) of the cross-section of the surface current density normalized by the applied current, Ia. The radiation resistance of a spin wave can be separated into three distinct components: Rr = rirsf = riref raf ,. Short volume-wave transducers (≪ 100 μ m) typically exhibit a significant impedance mismatch with the RF source, resulting in very low power delivered to the transducer if no matching network is used.
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