Novel interface-selected waves and their influences on wave competitions

TL;DR

This paper investigates nonlinear wave systems with interfaces, discovering interface-selected waves (ISWs) that propagate seamlessly across media and can influence wave competition phenomena such as spiral suppression.

Contribution

It introduces the concept of interface-selected waves (ISWs) in nonlinear media and explicitly predicts their frequency and wave number, revealing their role in wave dynamics.

Findings

ISWs propagate with same frequency and wave number across media

Interface can be transparent to these waves under certain conditions

ISWs can suppress spiral and antispiral wave patterns

Abstract

The topic of interface effects in wave propagation has attracted great attention due to their theoretical significance and practical importance. In this paper we study nonlinear oscillatory systems consisting of two media separated by an interface, and find a novel phenomenon: interface can select a type of waves (ISWs). Under certain well defined parameter condition, these waves propagate in two different media with same frequency and same wave number; the interface of two media is transparent to these waves. The frequency and wave number of these interface-selected waves (ISWs) are predicted explicitly. Varying parameters from this parameter set, the wave numbers of two domains become different, and the difference increases from zero continuously as the distance between the given parameters and this parameter set increases from zero. It is found that ISWs can play crucial roles in practical problems of wave competitions, e.g., ISWs can suppress spirals and antispirals.