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Reflection and transmission of thermoelastic waves at the corrugated interface of crystalline structure

Abstract Mathematical analysis is performed to examine the reflection and transmission phenomena of plane waves at the corrugated interface of crystalline structure separating two distinct monoclinic thermoelastic media. Analysis of this phenomena is achieved adopting classical dynamic coupled, Lord–Shulman, and Green–Lindsay theories. Using Rayleigh’s methods, the expressions of reflection and transmission coefficients of reflected and transmitted waves are deduced for the case of corrugated as well as plane interfaces. The influence of corrugation and frequency parameters on reflection and transmission coefficients for all three theories has been extensively analyzed with a comparative approach. Findings of the study are demonstrated through numerical and graphical results. Furthermore, the obtained result is validated with the preexisting result.