Vibrations and Waves

Full course description

Vibrations and waves covers the behaviour of many physical systems, be it mechanical, acoustic, electromagnetic or optical oscillations. We will investigate simple harmonic oscillators and derive a differential equation that will allow us to use the same mathematical framework for any oscillating system. Oscillations can experience damping or can be driven by external forces. An investigation of coupled oscillators will lead us to normal modes, and furthermore to oscillations that propagate – we call those waves! Waves can overlap (interfere) with each other, leading to phenomena such as standing waves and wave packets, which are fundamental for optics as well as electromagnetism.

Course objectives

To acquaint the student with the fundamental principles of vibrations and waves as they apply to all systems.
To develop an understanding of damped and forced vibrations, as well as normal modes.
To identify and be able to use appropriate mathematical methods to solving problems relating to these phenomena, such as complex notation, differential equations, eigenmodes and Fourier analysis.
To understand wave characteristics such as standing waves, beats and wave packets.

Prerequisites

PHY2001

Co-requisites

None

Classical Mechanics

Vibrations and Waves