Study of the Resistivity in a Channel With Dephased Ripples

Abstract

We study the transport properties of classical particles in the ballistic regime trapped in a two-dimensional channel with dephased ripple boundaries. By taking into account small ripple amplitudes, an analytical approximate expression for the classical resistivity is obtained. We show that the resistivity can be increased considerably by dephasing the walls of the channel. Our results are compared with those obtained for a channel composed of flat and sinusoidal boundaries.

Optical Response of a Perfect Conductor Waveguide That Behaves as a Photonic Crystal

“…(18). This features resemble those appearing in the band structure associated to twodimensional photonic crystals where the dispersion relation depends on a Bloch wave vector with two components.…”

“…The geometry of the system proposed in this work, has been considered to constitute some billiard systems to study their quantum and classical transport properties [17,18]. It is worth to mention that under certain conditions such systems can become chaotic.…”

Disordered Field Patterns in a Waveguide With Periodic Surfaces

“…We mentioned above that the geometry of the proposed system herein has been considered in order to study its quantum and classical transport properties [12,18,19]. According to this study, the system analyzed could present some signatures of electromagnetic wave chaos for certain parameters.…”

“…In fact, the magnetoresistance has been measured in chaotic and in regular cavities showing clearly distinctions in quantum transport [10]. The signature of chaos in classical transport through waveguides has also been investigated, and shows a completely different behavior on the resistivity when the system is regular or chaotic [11,12]. This paper examines an electromagnetic waveguide composed of two periodic, perfectly conducting, rippled surfaces, taking into account the cases of both smooth and rough surfaces.…”

“…The geometry of waveguides with smooth rippled surfaces has been considered to constitute some billiard systems in order to study their quantum and classical transport properties [12,18,19]. Hence, it is important to mention that using the geometry of the proposed system with smooth surfaces for modeling a classical waveguide, usually leads to chaotic behavior in the trajectories of the particles that are transported through it.…”