Modeling and visualization of wave interference and beat patterns in Python
- Python 3.9.0
- NumPy 1.22.0
- Matplotlib 3.5.1
A beat is an interference pattern between two sounds of slightly different frequencies at the same point in space, perceived as a periodic variation in volume whose rate is the difference of the two frequencies
$ python beat_pattern.py -h
usage: beat_pattern.py [-h] [-w1] [-w2] [-a] [-t]
Plot the superposition of two waves by definition
of frequencies, amplitude and time
optional arguments:
-h, --help show this help message and exit
-w1, --wave1 wave 1 frequency (Hz) (default: 30)
-w2, --wave2 wave 2 frequency (Hz) (default: 32)
-a, --amplitude waves amplitude (m) (default: 10)
-t, --time points to evaluate function (s) (default: 2)
$ python beat_pattern.py
| Flag | Argument | Value | Unit |
|---|---|---|---|
| Wave 1 frequency | 30 (default) | Hz | |
| Wave 2 frequency | 32 (default) | Hz | |
| Amplitude | 10 (default) | m | |
| Time | 2 (default) | s |
$ python beat_pattern.py -w1 20 -w2 24
| Flag | Argument | Value | Unit |
|---|---|---|---|
| -w1 | Wave 1 frequency | 20 | Hz |
| -w2 | Wave 2 frequency | 24 | Hz |
| Amplitude | 10 (default) | m | |
| Time | 2 (default) | s |
$ python beat_pattern.py -w1 12 -w2 12.8 -t 4
| Flag | Argument | Value | Unit |
|---|---|---|---|
| -w1 | Wave 1 frequency | 12 | Hz |
| -w2 | Wave 2 frequency | 12.8 | Hz |
| Amplitude | 10 (default) | m | |
| -t | Time | 4 | s |
$ python beat_pattern.py -w1 25 -w2 28 -a 2 -t 1.5
| Flag | Argument | Value | Unit |
|---|---|---|---|
| -w1 | Wave 1 frequency | 25 | Hz |
| -w2 | Wave 2 frequency | 28 | Hz |
| -a | Amplitude | 2 | m |
| -t | Time | 1.5 | s |
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