Simulation of the doppler effect, particularized in the context of sound waves and explored through scenarios where a wave emitting source and wave detecting observer move with a user controllable position, velocity or acceleration.
Source is controllable in position, velocity and acceleration and is always in one of three states: stationary, constant velocity or constant acceleration.
Source emits waves with a constant or variable frequency and constant amplitude.
Waves propagate in time with their amplitude attenuating exponentially.
Only crests are illustrated in the rendering of waves.
When multiple waves collide, interference is not accounted for at the moment.
Observer, similarly, is controllable in position, velocity and acceleration and is always in one of three states: stationary, constant velocity or constant acceleration.
Observer detects a wave at a time and records its perceived frequency and amplitude.
Data of each wave is stored in a rolling queue array where the array is overwritten progressively in a circular fashion.
When each wave is emitted, the current time, as well as the position and velocity of the source is stored in an object to be used later.
To find which wave is currently being detected by the observer, the program goes through each wave to try to find the closest wave that has passed the observer, if any.
If an observer wave is found, the perceived frequency and amplitude is calculated using the vector position and velocity of the observer as well as the vector position and velocity of the source from the time of wave emission (using the source wave data structure mentioned earlier) to find the components of the projected velocities of the source and observer in the relative direction of the observer and source, respectively.
TIME button group can be accessed with key P to pause the simulation, possibly to change the properties of the source and observer.
BUFFER button group can be accessed with keys S and R to save the current simulation time and restore the saved time later on.
SOUND button group can be accessed with key M to interpret the observer signal in time as an audible sound.
TWAVE button group can be accessed with key W to highlight the properties of the wave that is observed at the current time. This includes but is not limited to, the position and velocity of the source.
FMOD button group can be accessed with key F to modulate the frequency of the source signal in time.
CONTROL button group can be accessed with key C to switch between modifying the properties of the source and observer.
TYPE button group can be accessed with key T to switch between modifying the position, velocity and acceleration of the controlled object.
DIRECTION button group can be accessed with keys ArrowLeft, ArrowRight, ArrowUp, ArrowDown and 0 to set the direction of the vector (including origin) of the motion type of the controlled object.
MAGNITUDE button group can be accessed with keys 1, 2 and 3 to set the magnitude of the vector (excluding origin) of the motion type of the controlled object.
Simulation does not implement the effects of wave interference.
Observer can only detect one frequency and amplitude at a time.
