The Mathematics of Wave Propagation: Applications in Acoustics and Electromagnetism

Abstract

Wave propagation plays a fundamental role in understanding various physical phenomena, particularly in the fields of acoustics and electromagnetism. This paper explores the mathematics underpinning wave propagation, focusing on the solutions to wave equations, boundary conditions, and the effects of medium properties on wave behavior. Applications in acoustics include sound wave propagation in different media, while electromagnetism examines the behavior of electromagnetic waves in free space and through materials. This study demonstrates the interconnection between mathematics and physics, offering insights into practical applications such as signal transmission, noise reduction, and optical technologies.