Body zero frequency modes in photonic crystals of nanopores and nanocylinders

Abstract

In this paper, we demonstrate that body zero frequency modes can exist at extremely low frequencies in a system of nanocylinders made of non‐dissipative material. Such kind of modes is not specific to single nanocylinders, but they resemble modes inherent to photonic crystals.

Anomalous retroreflection from nanoporous materials as backscattering by ‘dark’ and ‘bright’ modes

“…The longitudinal waves represent inhomogeneous in space purely electrical longitudinal fields in the lowfrequency limit. Under this condition, these waves do not carry energy (see figure 1) and cannot be excited by an external transverse wave [25,27,28].…”

“…Since we use the approximation √ε 1 k o ∼h<1/a, we used the equation from the [25] when deducing the formulas (2) and (3), ( )…”

“…We have shown in the previous works that dark modes of pure electrical nature (ultrashort modes of the transversal electrical field), which modify the Coulomb law in the system, emerge when a system of nanoparticles is embedded into a dielectric material [24,25].…”