Accession Number:

ADA021058

Title:

On One-Dimensional Acceleration Waves and Acoustoelectric Domains in Piezoelectric Semiconductors.

Descriptive Note:

Technical rept.,

Corporate Author:

RENSSELAER POLYTECHNIC INST TROY N Y

Personal Author(s):

• McCarthy,M. F.
• Tiersten,H. F.

Report Date:

1976-01-01

Pagination or Media Count:

31.0

Abstract:

A one-dimensional version of the general nonlinear electroelastic equations for deformable semiconductors recently presented is employed in the analysis. Consequently, the mechanical and dielectric nonlinearities are included in the analysis as well as the semiconduction nonlinearity. Equations are derived for both the propagation velocity and the amplitude of the growing disturbance as a function of the state of the material immediately ahead of the wavefront. These rather general results are specialized to the case of a homogeneous steady state ahead of the wave and the condition for the threshold field is determined. In this latter case the wavefront propagates with constant velocity and the amplitude equation indicates the formation of a shock in a finite time for conditions conducive to domain formation. When the electrical conduction equation, which can be quite general in this treatment, is specialized to the form usually employed for semiconductors, the aforementioned more general condition for the threshold field reduces to the known result.

Descriptors:

• *DEFORMATION
• *SEMICONDUCTORS
• *ACOUSTOOPTICS
• MATHEMATICAL MODELS
• SURFACE WAVES
• ELECTRICAL CONDUCTIVITY
• WAVE PROPAGATION
• NUMERICAL INTEGRATION
• PIEZOELECTRIC CRYSTALS
• PARTIAL DIFFERENTIAL EQUATIONS
• WAVE EQUATIONS
• ELASTIC WAVES

Subject Categories:

• Solid State Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE