**4. Summary**

We have employed EMD simulations for the investigations of *S*(*k,ω*) over a wide range of Coulomb and Debye screening parameters (*κ*, Г). It has been shown that the presented EMD technique and previous numerical methods have equivalent performance for the wide range of plasma state points, both yielding satisfactory data for plasma *S*(*k,ω*). New simulations provide more consistent and inclusive results for the plasma *S*(*k,ω*) over a complete range of Г (1, 200) and *κ* (1.4, 4) than the previously known numerical results. Our investigations show that the dynamic of dust particles are exponentially decayed, sinusoidal form and crystalline form, respectively, in the gaseous, liquefy regime and crystalline states of SCCDPs. Moreover, the dynamical spectra of dusty plasma do not observe at very high values of Г and low values of *κ*. Moreover, our results indicate that the dynamical structure factor in SCCDPs depends on *κ*, Г and *k.* It has been shown that the presented simulation has comparable performance with the earlier simulation of *S*(*k,ω*) over the wide domain of plasma states. For future work, it is suggested that presented EMD technique based Ewald summation can be used to investigate and explore dynamical structure factor behaviors in other simple liquid, dipolar and ionic materials.
