مشخصات پژوهش

In this paper, using the generalized coupled pseudoforce model with driving elements, we develop a method to study the plasmon excitations and energy band structure in a plasmonic crystal. It is shown that the presence of the periodic ion core potential leads to a pseudo-resonance condition in the plasmon wavefunction and electrostatic potential profiles, quite analogous to the frequency resonance, leading to the gap formation in the energy dispersion profiles. It is found that the dual length scale character of plasmon excitations leads to the occurrence of a critical value of ac ¼ 2pkp for the lattice constant (kp being the plasmon wavelength) above and below which the energy band structure of plasmonic crystals becomes substantially different. It is also found that energy bandgap positions of the parabolic free electron energy dispersion relation are slightly higher compared to those of the plasmon excitations. The wavefunction and electrostatic potential solution for a one dimensional plasmonic lattice with a generalized periodic potential are also derived in this research. Current development helps us to illuminate the basic properties of the collective quantum phenomenon in many physical contexts by appropriately incorporating the collective effect in the root level and can have a wide range of applications in developments of the rapidly growing fields of nano-technology, nano-electronics, and plasmonics.