The development of the Electronics industry has been increasing the demand for formulating efficient nanoscale devices having computational facilities for integrated circuits. Within the circuits a good percentage of space is wasted in building connection between components, i.e., till date the waveguides designed for the chip level are not optimized. These waveguides also encounter the heating loss, which in turn heats up the whole system, thus degrading its performance. It has been found by the proposed methodology that Surface Plasmon Polaritons (SPPs), which is a nanoscale phenomenon, can be used as a propagating medium. So in this paper, an efficient surface plasmonic waveguide has been designed which is used to transmit a Continuous Wave Gaussian (CWG) modulated signal for long distances, for hundreds of micrometers (mm). In the present study the propagation length and the mode confinement is optimized such that it can be implemented in the integrated circuits and systems.