An approach based on the wave equation in the time domain for active shielding of an unwanted wave with a fixed frequency

TL;DR

This paper proposes a novel method for active wave shielding at a fixed frequency by solving the wave equation's Cauchy problem in the time domain, offering an alternative to surface potential techniques.

Contribution

It introduces a new approach that uses time-domain wave equation solutions to generate controlled waves for shielding, differing from traditional surface potential methods.

Findings

Effective shielding achieved at fixed frequency

Method demonstrated through theoretical analysis

Potential for improved active noise control

Abstract

An approach for shielding an unwanted wave with a fixed frequency by generating a suitably controlled nontrivial wave with the same frequency is suggested. Unlike the well known surface potential approach, the source of the controlled wave is given by solving the Cauchy problem for the wave equation in the finite time domain.