The theory is given and a numerical analysis is presented of propagation of piezoelectric interfacial waves along a perfectly conducting plane that separates two piezoelectric half-spaces of different crystallographic orientations or two half-spaces of different piezoelectrics. In the case of slightly different orientations (half a degree in each Euler angle), it is found that the coupling coefficient is in general less than in the case of two half-spaces of the same orientation, but still large. For example, it is 3.40% for lithium niobate (instead of 3.50%), 0.85% for dilithium tetraborate (instead of 0.90%), 0.15% for langasite (instead of 0.20%). In the case of two half-spaces of arbitrary different crystallographic orientations (lithium niobate and lithium niobate), and two half-spaces of different piezoelectrics (dilithium tetraborate and lithium niobate), it is found that the coupling coefficient may be quite large for some crystal cuts (correspondingly 2.25% and 1.45%), although for the majority of crystal cuts the waves do not exist.
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A method is given of calculating second-order singularities which are related to inflection points of slowness curves. An approximated formula is derived for the effective permittivity function in the neighbourhood of its singular points. A numerical analysis is presented of several piezoelectrics, and crystal cuts are calculated for the singular points. The analysis shows that inflection points may appear for almost every crystal cut, as is the case of lithium niobate and langasite.
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An analysis is given of acousto-optic coupling associated with piezoelectric interfacial waves for a great number of crystal cuts. Results of numerical calculations are presented of appropriate coupling coefficients in relation to wave parameters for lithium niobate and quartz. It is found that, for some cuts, the coefficients are quite large (over 4% for lithium niobate). It is also found that high acousto-optic coupling is usually accompanied by high piezoelectric coupling.
A perfectly conducting strip embedded in a piezoelectric medium is considered. Waves propagating along the strip are investigated with the use of a surface impedance function which is suggested by the known surface impedance function for a perfectly conducting plane embedded in the medium. A dispersion equation for the waves is found and solved in the case of a narrow strip.
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