Convolution at Microwave Frequencies in Yttrium Iron Garnet

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Abstract
Convolution in real time of two oppositely directed travelling magnetostatic waves of angular frequency, ω, has been observed in YIG rods, plates and epitaxial films at microwave frequencies. The multiplication process occurs through the gyromagnetic precession as in earlier frequency doubling experiments in ferrites. The necessary spatial integration and output at 2ω, is obtained either by a single turn coil or a distributed inductor, depending on the geometry of the YIG sample, with its axis being along the direction of the bias field. Detailed convolution experiments have been performed at L and S‐band frequencies on single short pulses, single long pulses and double pulses utilising magnetostatic waves in YIG plates of non‐ellipsoidal geometry. Observed bilinearity factors can be as high as 10−2(mW)−1 in contrast with values of less than 10−5(mW)−1 available from interacting travelling waves via the electroacoustic anharmonicity in lithium Niobate. Device dynamic range is predicted to be in excess of 80 dB. Magnetostatic wave convolution has also been demonstrated in epitaxial YIG films.

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