A Perturbation Analysis of the Attenuation and Dispersion of Surface Waves.
Abstract
A perturbation formulation of the equations of linear piezoelectricity is obtained using a Green's function approach. The extended equation is applied in the calculation of the attenuation of surface waves due to the finite electrical conductivity of thin metal films plated on the surface and air loading. Since the metal films are thin compared with a wavelength, and approximate thin plate conductivity equation is employed in the determination of the attenuation due to the electrical conductivity of the films. The resulting attenuation is obtained over a very large range of values of sheet conductivity. This is accomplished by using the equation for the first perturbation of the eigenvalue iteratively to determine the solution and attendant attenuation to any desired degree of accuracy. The phase velocity dispersion curve due to the mechanical effect of a thin film plated on a substrate is determined for relatively large wavelengths by employing the perturbation equation iteratively, and excellent agreement is obtained with the results of other more direct approaches.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1977
- Accession Number
- ADA040100
Entities
People
- B. K. Sinha
- Harry F. Tiersten
Organizations
- Rensselaer Polytechnic Institute