dorsal/arxiv
View SchemaA finite element method for modelling electromechanical wave propagation in anisotropic piezoelectric media
| Authors | S. Rahman, H. P. Langtangen, C. H. W. Barnes |
|---|---|
| Categories | |
| ArXiv ID | physics/0510175 |
| URL | https://arxiv.org/abs/physics/0510175 |
| Journal | Commun. Comp. Phys., Vol. 2, No. 2, pp. 271-292 (2006) |
Abstract
We describe and evaluate a numerical solution strategy for simulating surface acoustic waves through semiconductor devices with complex geometries. This multi-physics problem is of particular relevance to the design of quantum electronic devices. The mathematical model consists of two coupled partial differential equations for the elastic wave propagation and the electric field, respectively, in anisotropic piezoelectric media. These equations are discretized by the finite element method in space and by a finite difference method in time. The latter method yields a convenient numerical decoupling of the governing equations. We describe how a computer implementation can utilize the decoupling and via object-oriented programming techniques reuse independent codes for the Poisson equation and the linear time-dependent elasticity equation. First we apply the simulator to a simplified model problem for verifying the implementation, and thereafter we show that the methodology is capable of simulating a real-world case from nanotechnology, involving surface acoustic waves in a geometrically non-trivial device made of Gallium Arsenide.
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"abstract": "We describe and evaluate a numerical solution strategy for simulating surface\nacoustic waves through semiconductor devices with complex geometries. This\nmulti-physics problem is of particular relevance to the design of quantum\nelectronic devices. The mathematical model consists of two coupled partial\ndifferential equations for the elastic wave propagation and the electric field,\nrespectively, in anisotropic piezoelectric media. These equations are\ndiscretized by the finite element method in space and by a finite difference\nmethod in time. The latter method yields a convenient numerical decoupling of\nthe governing equations. We describe how a computer implementation can utilize\nthe decoupling and via object-oriented programming techniques reuse independent\ncodes for the Poisson equation and the linear time-dependent elasticity\nequation. First we apply the simulator to a simplified model problem for\nverifying the implementation, and thereafter we show that the methodology is\ncapable of simulating a real-world case from nanotechnology, involving surface\nacoustic waves in a geometrically non-trivial device made of Gallium Arsenide.",
"arxiv_id": "physics/0510175",
"authors": [
"S. Rahman",
"H. P. Langtangen",
"C. H. W. Barnes"
],
"categories": [
"physics.comp-ph"
],
"journal_ref": "Commun. Comp. Phys., Vol. 2, No. 2, pp. 271-292 (2006)",
"title": "A finite element method for modelling electromechanical wave propagation in anisotropic piezoelectric media",
"url": "https://arxiv.org/abs/physics/0510175"
},
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