This study examines the reflection behaviour of plane waves both longitudinal and transverse at an impedance boundary within a bio-thermoelastic diffusion half-space governed by the Moore-Gibson-Thompson (MGT) heat conduction model. The formulation is carried out in two dimensions using dimensionless parameters and potential functions for simplification. Analytical treatment reveals the existence of four types of longitudinal waves and one transverse wave, each propagating at distinct velocities. Amplitude ratios for longitudinal (P), thermal (T), chemical potential (Po), and shear vertical (SV) waves are derived and analyzed as functions of incident angle, frequency, and various medium parameters. The influence of impedance conditions and blood perfusion rate on reflection coefficients is illustrated graphically. Several special cases are also discussed. The findings have significant implications in biomedical engineering, geophysical exploration, and seismic wave analysis.
Singh et al. (Mon,) studied this question.