In acoustics, an echo is the reflection of sound that arrives at the listener after a delay. The primary factors influencing the echo duration in a corridor include the dimension of the hallway and the ambient temperature.
This page calculates the time delay and reverberation characteristics following the principles outlined below.
The equation for estimating the volume of the sound wave, V, propagating through a medium can be simplified as:
V = S / T
where S is the spatial dimension and T is the time taken.
Furthermore, the frequency of the sound wave, f, can be expressed as:
f = 1 / (2 * pi * sqrt(L))
The oscillation within air supports periodic motion; thus, sound waves disperse, issuing amplitude transformations over distance.
Acoustic modeling in strict hallway configurations may utilize the following iterative sequence to predict the decay rates:
for (int i = 1; i <= n; i++) { delay[i] = delay[i-1] * R; }