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We show that, for small added masses, the sensitivities of bulk-mode, surface-mode, and flexural plate-mode gravimetric ultrasonic sensors are respectively 2/ρλ, ≊1/ρλ, and 1/2ρd, where ρ is the density of the sensor substrate material, λ is the wavelength, and d is the plate thickness of the flexural-mode sensor.
Wenzel et al. (Mon,) studied this question.