Exact theory of plasmon reflection and transmission in partially gated two-dimensional system

Fuente: arXiv
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Main Authors: Moiseenko, I. M., Svintsov, D. A.
Format: Preprint
Published: 2026
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author Moiseenko, I. M.
Svintsov, D. A.
author_facet Moiseenko, I. M.
Svintsov, D. A.
contents We develop an exact theory of plasmon scattering at the boundary between gated and ungated regions of a two-dimensional electron system (2DES). Using the Wiener-Hopf technique, we derive analytical expressions for the complex reflection and transmission coefficients of plasmons incident from both sides of the interface. The theory fully accounts for evanescent fields at the gate edge and radiative losses into free-space electromagnetic waves. In the non-retarded limit and for small gate-2DES separation, the reflected plasmon dominates the total electric field, while radiative losses are negligible when plasmon scattering. The amplitudes and phases of the reflection and transmission coefficients for plasmons incident from both sides have a complex dependence from 2DES-gate separation and conductivity of 2DES. Our results provide a rigorous foundation for modeling tunable plasmonic crystals based on 2DES for terahertz detection and modulation.
format Preprint
id arxiv_https___arxiv_org_abs_2605_05504
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Exact theory of plasmon reflection and transmission in partially gated two-dimensional system
Moiseenko, I. M.
Svintsov, D. A.
Other Condensed Matter
We develop an exact theory of plasmon scattering at the boundary between gated and ungated regions of a two-dimensional electron system (2DES). Using the Wiener-Hopf technique, we derive analytical expressions for the complex reflection and transmission coefficients of plasmons incident from both sides of the interface. The theory fully accounts for evanescent fields at the gate edge and radiative losses into free-space electromagnetic waves. In the non-retarded limit and for small gate-2DES separation, the reflected plasmon dominates the total electric field, while radiative losses are negligible when plasmon scattering. The amplitudes and phases of the reflection and transmission coefficients for plasmons incident from both sides have a complex dependence from 2DES-gate separation and conductivity of 2DES. Our results provide a rigorous foundation for modeling tunable plasmonic crystals based on 2DES for terahertz detection and modulation.
title Exact theory of plasmon reflection and transmission in partially gated two-dimensional system
topic Other Condensed Matter
url https://arxiv.org/abs/2605.05504