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.

/pdf/efficient-electromagnetic-transducers-for-spin-wave-devices-3innrxqtxq.pdf

Efficient electromagnetic transducers for spin-wave devices.

We present a method to solve a kind of integral equations (we call it the integral kernel expansion method), and apply it to an analysis of excitation of magnetostatic surface-wave/magnetostatic backward-volume-wave modes in a magnetized yttrium-iron-garnet film. The Fourier integral of a normal component of magnetic flux density is derived in terms of an unknown current density flowing in a microstrip transducer. The integral kernel is expanded into a series of the Legendre polynomials and expansion of the unknown current density in terms of appropriate functions reduces the Fourier integral to a system of linear equations with unknown coefficients. Determination of the unknown coefficients allows us to estimate the power of magnetostatic waves, which characterizes the excitation. It is found that our numerical method is superior to the previous conventional method based on an assumed current density. In order to verify the validity of our method, we compare our results with the corresponding experiments, and we have found good agreement between the two.

An analysis of excitation of magnetostatic surface waves in an in-plane magnetized YIG film by the integral kernel expansion method

/pdf/magnetic-materials-and-devices-for-integrated-radio-2epyvhk8km.pdf

Magnetic materials and devices for integrated radio-frequency electronics

The dispersion formula and dynamic magnetization for magnetostatic surface waves (MSSWs) under arbitrarily inclined bias magnetic field and the mode-conversion effect of guided optical waves (GOWs) by the MSSWs propagating collinearly in obliquely magnetized bismuth-doped yttrium-iron-garnet film waveguide are studied theoretically. It is shown by our calculation that: (1) by optimizing the direction of bias magnetic field, the mode-conversion efficiency (MCE) of the GOWs can be increased by about 7.3 dB compared with that at the conventional magnetization; (2) at in-plane magnetization, the coupling interaction between the incident light and the frequency-shifted and mode-converted light is so strong that the others can be neglected, and thus the analysis on the GOW mode-conversion with the MSSWs in the case can be simplified further; and (3) under the optimum condition, the linearly dynamic dependence of the mode-conversion and diffraction efficiency on the microwave current is up to 25 dB or so, and th...

Mode-conversion enhancement of guided optical waves by magnetostatic surface waves propagating collinearly in obliquely magnetized bismuth-doped yttrium-iron-garnet film waveguide

In this paper is presented the design and fabrication of an Electromagnetic Band Gap (EMBG) resonator in coupled lines configuration, to obtain tunable Magnetostatic Wave (MSW) Band Stop Resonators using a magnetic material, namely YIG (yttrium Iron garnet) biased by means of an external magnetic DC field. In particular, a microwave tunable resonator configuration based on a MSW resonator, working at frequencies up to 16 GHz has been studied. The specific purpose of this work is to analyze the filtering response of coplanar waveguide (CPW) EMBG magnetically tunable resonators in a band stop configuration. Measurements of the S 21 parameter demonstrate an important attenuation with more than 20 dB of the higher order modes. They exhibit a good selectivity obtained by the combination between EMBG resonators and YIG ones in the frequency range 5-18 GHz. Tunable EMBG YIG resonators from 5 GHz to 18 GHz, corresponding to the X band and to the Ku band in the microwave region, which are presently a focus for many ground and space applications, have been studied.

EMBG Magnetostatic Wave Band Stop Resonators

Excitation of magnetostatic surface waves by a coplanar waveguide transducer is analyzed by the integral kernel expansion method. An integral equation for an unknown normal component of the magnetic flux density in the slot region of a coplanar waveguide is derived through the Fourier transform. The integral kernel is expanded in terms of orthogonal polynomials and then applying Galerkin's method to the unknown field reduces the integral equation to a system of algebraic equations for the unknown coefficients. The radiation resistance which characterizes the excitation is calculated as a function of frequency, and comparison of the theory with experiments is in good agreement.

Excitation of magnetostatic surface waves by coplanar waveguide transducers

The excitation of magnetostatic surface wave/magnetostatic backward volume wave modes is analyzed by using the integral kernel expansion method. The Fourier integral containing unknown current density flowing in a transducer is reduced to linear equations with unknown coefficients by expansion of the integral kernel and the unknown function. Comparison of the numerical results with an experiment is in good agreement.

http://ieeexplore.ieee.org/iel5/7378/20029/00925810.pdf

Excitation of magnetostatic surface waves in an in-plane magnetized YIG film

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An analysis of excitation of magnetostatic surface waves in an in-plane magnetized YIG film by the integral kernel expansion method

Excitation of magnetostatic surface waves by coplanar waveguide transducers

Excitation of magnetostatic surface waves in an in-plane magnetized YIG film