Applications <p>Love wave propagation in the layer-substrate structure presents a significant avenue for advanced sensing and wave-based device applications, such as Surface Acoustic Wave devices, gas sensing, and telecommunications.</p> Model <p>In this work, a layer of functionally graded conductive polymers (FGCP) is deposited on the functionally graded piezoelectric (FGPE) substrate to investigate the influence of the functionally graded composites, viscosity, and conductivity of the materials on the phase velocity of the Love wave.</p> Materials <p>We considered conductive silicone rubber as the conductive polymers in the superficial layer and lithium tantalate as piezoelectric materials in the substrate.</p> Research Gap <p>Apart from existing research, we considered exponential and sine hyperbolic variation in the elastic moduli of the layer and substrate under the influence of the impulsive force due a line source.</p> Solution <p>The non-homogeneous electro-mechanical equations of motion are reduced by the Fourier transform technique and solved analytically by using Green’s function technique.</p> Expected Findings and Validation of the Model <p>The obtained dispersion relation is reduced into the conventional form of the Love wave dispersion in the particular cases. Through numerical simulations and theoretical analysis, this work elucidates the influence of the viscosity of the conductive polymers, functionally graded composites, conductivity, and piezoelectric constants on the phase velocity of the Love wave propagation. Insights gained from this study contribute to the understanding of wave behavior in complex composite systems and pave the way for the design and optimization of novel Love wave-based devices for diverse applications in sensing, signal processing, and beyond.</p>