Discovery of the exact 3D one-way wave equation

Abstract The standard wave equation describing symmetrical wave propagation in all directions in three dimensions, was discovered by the French scientist d’Alembert, more than 250 years ago. In the 20th century it became important to search for ‘one-way’ versions of this equation in three dimensions...

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Bibliographic Details
Main Authors: Kosmas L. Tsakmakidis, Tomasz P. Stefański
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-025-61220-3
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