課程概述 |
Contents:
1. One dimensional waves
1-d wave equations, D'Alembert's solution, reflection and transmission at boundaries, impedance transformation by a layer
2. Crystal symmetry
Lattice and unit cell, atomic structures, crystal classes and crystal systems, useful piezoelectric crystals
3. Elasticity and piezoelectricity
Elastic field equations, basic electrical and magnetic laws and Maxwell's equations, constitutive relations of elastic solids, Piezoelectric solids
4. Plane waves in anisotropic solids and piezoelectric crystals
Monatomic one-dimensional model, Christoffel's equations, energy velocity and characteristic surfaces, examples of slowness surfaces, plane waves in piezoelectric crystals, reflection and refraction
5. Piezoelectric transducers for bulk waves
One dimensional model, Impedance matrix, Equivalent circuits, Low frequency transducers, High frequency transducers
6. Guided waves
Planar waveguides, power flows, Rayleigh waves, transverse horizontal waves, Lamb waves
7. Analysis of inter-digital transducer
Non-piezoelectric half space, piezoelectric half space, properties of effective permittivity, Delta function model, second order effects and methods of analysis, analysis of a general array of electrode, quasi-static analysis of transducer |