Abstract

We report on the possibility of realizing adiabatic compression of polaritonic wave on a metallic conical nano-structure through an oscillating electric potential (quasi dynamic regime). By comparing this result with an electromagnetic wave excitation, we were able to relate the classical lighting-rod effect to adiabatic compression. Furthermore, we show that while the magnetic contribution plays a marginal role in the formation of adiabatic compression, it provides a blue shift in the spectral region. In particular, magnetic permeability can be used as a free parameter for tuning the polaritonic resonances. The peculiar form of adiabatic compression is instead dictated by both the source and the metal permittivity. The analysis is performed by starting from a simple electrostatic system to end with the complete electromagnetic one through intermediate situations such as the quasi-electrostatic and quasi-dynamic regimes. Each configuration is defined by a particular set of equations which allows to clearly determine the individual role played by the electric and magnetic contribution in the generation of adiabatic compression. We notice that these findings can be applied for the realization of a THz nano-metric generator.

Highlights

  • Adiabatic compression is the phenomenon describing the increase of the electric field associated to a reduction of both the phase and group velocity of a polaritonic wave when it approaches the tip-end of a metallic conical structure [1]

  • We report on the possibility of realizing adiabatic compression of polaritonic wave on a metallic conical nano-structure through an oscillating electric potential

  • We explain the role of electrostatic, quasi-electrostatic and quasi-dynamic electric fields in the realization of resonances on nano-sized metallic conical structures, and we compare their effects with the electromagnetic (EM) case which has been proved to create adiabatic compression [1]

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Summary

Introduction

Adiabatic compression is the phenomenon describing the increase of the electric field associated to a reduction of both the phase and group velocity of a polaritonic wave when it approaches the tip-end of a metallic conical structure [1]. We explain the role of electrostatic (constant electric potential, ES), quasi-electrostatic (slowly -few THz- oscillating electric potential, QES) and quasi-dynamic (oscillating electric potential, QD) electric fields in the realization of resonances on nano-sized metallic conical structures, and we compare their effects with the electromagnetic (EM) case which has been proved to create adiabatic compression [1]. We will show that the magnetic contribution does not play any role in the formation of adiabatic compression [31], it is responsible for the resonance position in the spectral range. This characteristics can play an interesting role for engineering polaritonic resonances of metallic nano-cones in QD regime.

Theoretical background
Modeling
The QD approximation
Conclusion
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