Impact of imperfect corrugated interface in piezoelectric-piezomagnetic composites on reflection and refraction of plane waves

Defects such as imperfect geometric/mechanical/dielectric/magnetic interfaces affect the performance and life of structural components used in aircraft technology and underwater navigation. The major drawback of an imperfect interface in a system is its disability to transfer stress or potential across the surface effectively. Nondestructive evaluation, particularly P-wave reflection imaging, contributes significantly to detecting defects and in situ conditions of such structural components. The present study encapsulates the reflection/refraction phenomenon of quasi-pressure waves when they strike the mechanically/dieletrically/magnetically imperfect corrugated interfaces of piezoelectric and piezomagnetic half-spaces. The reflected/refracted wave fields not only consist of regular bulk and surface waves but also a spectrum of irregular bulk waves, arising as the result of geometrical irregularities at the interface. The reflection and refraction coefficients (RECs/RACs) of all regular/irregular waves are derived analytically by using Rayleigh's method of slope approximation (first iteration of small perturbation). The existence of the critical angle is interpreted from the slowness curves of the bulk waves. The influences of the corrugation, angular frequency, and interface imperfection on the RECs/RACs are the major findings reported in the study. The reflected/refracted potential waves diminish for the dielectrically/magnetically imperfect interface. The energy coefficients of the reflected/refracted waves are derived, and the energy conservation law is satisfied.