Scattering properties of a cut-circle billiard waveguide with two conical leads

Abstract

We examine a two-dimensional electron waveguide with a cut-circle cavity and conical leads. By considering Wigner delay times and the Landauer-Büttiker conductance for this system, we probe the effects of the closed billiard energy spectrum on scattering properties in the limit of weakly coupled leads. We investigate how lead placement and cavity shape affect these conductance and time delay spectra of the waveguide.

Scalar wave scattering in spherical cavity resonator with conical channels

“…The transport properties of several open 2D cavity structures have been studied recently, including the rectangular [16,17], circular [18][19][20][21], stadium [22,23], and elliptic billiards [24]. However, open 3D cavities have not received quite as much attention as their two-dimensional counterparts, and to the best of our knowledge, there is no work regarding the scattering properties of the spherical resonator with attached channels.…”