The Generalized Drude–Lorentz Model and Its Applications in Metal Plasmonics

The Drude–Lorentz model has been generalized to the case of plasmons under nonmagnetic conductors located in the static magnetic,H₀, and electric, E₀, fields by taking the spatial dispersion effects into account. It is shown that the magnetostatic field H₀ and the spatial dispersion induce the appearance of two additional types of low-frequency bulk plasmons, and the dispersion of bulk plasmons of all types substantially depends on the relative orientation of the direction e_𝑘 of their propagation and the magnetostatic field vector H₀. In the case of surface plasmons, the spatial dispersion leads to a two-component structure (in the metal) of their electric field E, and the external electrostatic field E₀ induces the spatial dispersion depending on the Hall constant 𝑅𝑝. At the same time, the orientation of the magneto static field H₀ has a significant effect on the total dispersion of surface plasmons. (author)