What question did this study set out to answer?

The aim is to model the acoustical resonance of beer bottles using Fourier methods.

February 21, 2026

Exploring Fourier methods with beer bottles

Key Points

The aim is to model the acoustical resonance of beer bottles using Fourier methods.
Modeling the beer bottle as a one-dimensional driven-damped oscillator
Using sequential pure-tone measurements to extract Green's function
Collecting data rapidly using Fourier methods
Identified a well-defined fundamental frequency in beer bottles
Demonstrated efficient data collection techniques that fit model parameters in a short time
Provided a practical model for undergraduate laboratory experiments

Abstract

As anyone who has blown across the mouth of a beer bottle knows, beer bottles have a well-defined fundamental frequency. This paper shows how a beer bottle's acoustical resonance can be modeled as a one-dimensional driven-damped oscillator and includes enough detail to be useful in undergraduate laboratory experiments. While the frequency-domain Green's function of the bottle can be extracted through sequential pure-tone measurements, sufficient data to fit the model's parameters can be collected in just a few seconds when Fourier methods are used.

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