Tunneling mediated by conical waves in a 1D lattice

TL;DR

This paper investigates how conical localized waves facilitate nonlinear tunneling in a 1D lattice with a band-gap, revealing the influence of transverse effects on wave propagation and transmission.

Contribution

It introduces the concept of conical waves mediating tunneling in a 1D lattice, highlighting the role of transverse effects and dispersion in nonlinear wave dynamics.

Findings

Conical waves enable enhanced nonlinear transmission in the band-gap.

Transverse effects significantly influence wave tunneling behavior.

Distinct features are observed at the two edges of the band-gap.

Abstract

The nonlinear propagation of 3D wave-packets in a 1D Bragg-induced band-gap system, shows that tranverse effects (free space diffraction) affect the interplay of periodicity and nonlinearity, leading to the spontaneous formation of fast and slow conical localized waves. Such excitation corresponds to enhanced nonlinear transmission (tunneling) in the gap, with peculiar features which differ on the two edges of the band-gap, as dictated by the full dispersion relationship of the localized waves.