6533b860fe1ef96bd12c38ba
RESEARCH PRODUCT
Resonant Tunneling in 2D-Waveguides with Several Resonators
Lev BaskinOleg SarafanovBoris PlamenevskiiPekka Neittaanmäkisubject
Free electron modelPhysicsResonatorHelmholtz equationCondensed matter physicslawResonanceBoundary value problemTransmission coefficientWaveguideQuantum tunnellinglaw.inventiondescription
In this chapter, we consider a two-dimensional waveguide that coincides with a strip having \(n+1\) narrows of small diameter \(\varepsilon \). All narrows are of the same shape and are spaced from each other by equal distances. Parts of the waveguide between two neighboring narrows play the role of resonators. The wave function of a free electron satisfies the Dirichlet boundary value problem for the Helmholtz equation in the waveguide. Near a simple eigenvalue of the closed resonator there are n resonant peaks of height close to 1. We let \(\varepsilon \rightarrow 0\) and obtain asymptotic formulas for the resonant energies and for the widths of the resonant peaks at their half-height. The behavior of the transmission coefficient in a neighborhood of a resonance is described.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-01-01 |