The deconstructed hydrodynamic model for plasmonics

TL;DR

This paper presents a deconstructed, exact reformulation of the hydrodynamic model for plasmonics into two first-order equations, offering clearer interpretation and alternative models with direct physical meaning.

Contribution

It introduces an exact deconstructed version of the hydrodynamic plasmonics model and proposes an alternative model based on polarization current for better physical interpretability.

Findings

Deconstructed model clarifies the mathematical structure of hydrodynamic plasmonics.

Alternative polarization current model provides a more direct physical interpretation.

Potential applications in understanding and interpreting plasmonic phenomena.

Abstract

I give an exact but deconstructed version of the second-order wave-like equation that encapsulates the hydrodynamic model for plasmonics. Comprising two first order equations, the deconstruction has potential uses in understanding or interpreting the hydrodynamic model, since its meaning is not obscured by approximation. However, as the physical interpretation of the deconstructed model is difficult, due to the choice of the polarization as the significant quantity, I also consider a alternate model based on the polarization current. This alternate model has a clear and direct physical interpretation.