Acoustic wave-based devices have attracted greater attention, particularly in the aerospace and bio-medical fields due to their passive and wireless capabilities. Interdigital transducer (IDT) is an integral part of the SHM wave-based sensor, as it transmits information about the structural state. Additionally, embedding the electrodes inside the piezoelectric substrate increases the acoustic coupling and protects the electrodes from potential external damage. This paper uses numerical analysis to discuss sensor responses with different IDT layouts in both frequency and time domains. The results investigate each type's sensitivity towards mechanical strains and figure of merit, which facilitates the development of an efficient embedded electrode sensor through advanced additive manufacturing techniques.