One-Dimensional Theory of Polarization by Shock Waves: Application to Quartz Gauges

Laplace transform techniques were used to solve for the current generated by an air‐backed quartz gauge impacted by a much thicker disk of equal mechanical impedance. A nonlinear equation of state, which considers the variations of the piezoelectric factor h₁₁ with strain and electric displacement, the dielectric impermeability ${\beta }_{11}^S$ with strain, and the elastic stiffness $c_{11}^D$ with electric displacement, was used in this solution. The differences between theoretical values of the current and values obtained in shock compression experiments to 18 kbar were on the order of ± 1% for time less than twice the transit time of the gauge. The effects of electromechanical coupling on shock reverberation experiments utilizing active quartz reverberation disks are discussed.