Here are my (1-D) simulations of excitation of an axial room mode. The excitation signals are tone bursts of 1 to 6 cycles. Note that these tone bursts are ramped up and down using a raised cosine window (Hann window) to reduce the abruptness of the start and stop transitions to reduce the high frequency contents. These simulations are largely based on the parameters I used in my
visualizing room modes thread.
For each animation of the simulation results, the top plot shows the pressure response in the room. The bottom plot shows the sound pressure vs time plot for 3 locations. With 1 cycle, the excitation is too short to activate the room mode. We basically only have reverberations. When far enough away from the walls, by the time the reflection wave comes back, the forward wave is no longer active, so there is no constructive or destructive interference happening. However, at the green location (a null position), it is close enough to the right wall that some destructive interference can be observed. Due to the front wall reflection (source is 0.5 m from the front wall), the spatial waveform of the sound pressure is a "spread-out" version of a sine wave. These simulations showed, in this case, it takes 5-6 cycles to start to fully activate the room mode. The activation of the room mode is easiest to see from the green location (null) response.
I'll leave readers to make their conclusions.
1 cycle:
View attachment 548032
2 cycles:
View attachment 548033
3 cycles:
View attachment 548034
4 cycles:
View attachment 548035
5 cycles:
View attachment 548036
6 cycles:
View attachment 548037