One Layer Model

ultrasonic-thickness-resonance Program to estimate material properties from the measured first order thickness resonance in the ultrasonic transmission coefficient of a homogeneous plate at normal incidence.

The following material properties are obtained:

1. Plate density
2. Plate thickness
3. Ultrasound velocity in the plate
4. Ultrasound attenuation coefficient at resonant frequency in the plate
5. Variation of the attenuation coefficient with the frequency assuming a power law

To sum up the calculation method that we have followed: Initial values are obtained from the resonant frequency, the amplitude and the phase at resonance,and the Q factor of the resonance. The layer parameters are modified to improve the fitting of the theoretically predicted spectra into the experimentally measured one. The minimization of the error is performed by using a Gradient Descent algorithm.