Plotting the sine function
Animation of the creation of a sine function from the definition of sine as a ratio of sides of a right triangle.
Flash clip showing a voltmeter swinging madly back and forth because of AC power.
Animation of the basic phasor rotor
A rotating vector and its projection make up the central idea behind the phasor representation of oscillations and waves. This animation illustrates this principle.
Animation showing phasor, graph, and bungy jumper
Animation showing the relationship between a phasor, a graph, and an oscillation. The oscillations is that of a person bobbing up an down on the end of a bungy cord.
Addition of phasors with bungy jumpers
Animation showing the relationship between two phasors, their sum, their graphs, and the oscillations they represent. The oscillations are of two people bobbing up and down on the end of bungy cords.
Beating of two oscillations
Animation showing the beating of two oscillations. The oscillations are those of two people on the ends of their respective bungy cords. Phasors and graphs are created as the animation proceeds.
Flash file allowing the viewer to listen to several audio files demonstrating the beating of tones.
Complex rotor, ball goddess
Decorative animation of the complex rotor.
Complex exponential function, a show stopper
Animation of the complex rotor, the central idea behind phasors based on complex number.
Complex phasors, da Vinci
Animation showing the relationship between an oscillating variable, a voltage in this case, and a complex phasor. This animation also shows a graph of the oscillating quantity.
Complex multiplication of a phasor, beaches
Animation showing the relationship between a phasor and a second product phasor that results from multiplying the first phasor by a complex constant. This also shows the oscillating quantities, temperatures in this case, and a graph of the two oscillations.
Gaussian solitary wave, skateboard
Animation showing the time dependence of a solitary wave, i.e. a gaussian function, written as a function of x−ct.
Shifted gaussian, leprechaun
Animation showing the shifting of a stationary gaussian function due to changing the x offset.
Traveling Wave, carhop
Animation showing the time dependence of a continuously shifting cosine function, that is in fact a traveling wave.
General equation for a traveling wave
Animation showing the dependence the various parameters in the general equation for a traveling wave . The user can change the values of these parameters and see the effect on the animated traveling wave.
Complex phasors of a traveling wave
Animation showing the relationship between a traveling wave and the complex phasors at various points along the wave.
Traveling wave as a complex helical wave
Animation showing the relationship between a traveling wave and the complex phasors at various points along the wave. In this animation we show the wave in its complex form, as a helical wave with one axis along the imaginary direction.
Traveling wave by a monkey
Animation showing a one dimensional traveling wave on a rope.
Traveling 2D wave on a mesh
Animation showing a two dimensional traveling wave on a mesh. The wave is aligned with one axis of the mesh.
Oblique traveling mesh wave
Animation showing a two dimensional traveling wave on a mesh. The wave is propagating at a 30 degree angle to the mesh axes.
Circular traveling wave
Animation showing a spreading circular wave on a mesh.
Electromagnetic traveling wave
Animation showing the propagation of an electromagnetic wave. The time varying electric and magnetic field vectors are shown. The viewer can adjust the viewing angle.
Animation of a sound wave
Animation showing a slow longitudinal pressure wave (i.e. a very slow sound wave) propagating in an array of compressible balls. This is one form of traveling waves. The viewer can choose to see the phasors for the waves in each ball. He or she can also choose to introduce attenuation in the wave.
Spark gap transmitter
Animation showing the operation of a sparkgap transmitter, used by Marconi and others in the early days of radio.