Two- and Three-dimensional Generalisation of Lower Order Local Wave Velocities

TL;DR

This paper extends a local wave velocity framework from one-dimensional waves to two and three dimensions, providing a geometrically consistent approach for defining phase velocities in higher dimensions.

Contribution

It introduces a generalization of local wave velocities to 2D and 3D scalar waves, ensuring geometric consistency for velocities of order zero and one.

Findings

Generalized local wave velocities to 2D and 3D

Ensured geometric consistency in the definitions

Applicable to scalar wave analysis in higher dimensions

Abstract

A general local approach for the definition of velocities and especially phase velocities for waves recently proposed for one-dimensional waves is generalized for 2 and 3 dimensional scalar wave. A geometrically consistent generalization has been found for the local wave velocities of order zero and one.