wave equation
Noun
Meaning
wave equation (plural wave equations)
A second-order linear partial differential equation for the description of waves or standing wave fields.
Hypernyms
Examples
A more general representation of the wave equation is more complex, but the role of amplitude remains analogous to this simple case.
Although the word "monochromatic" is not exactly accurate since it refers to light or electromagnetic radiation with well-defined frequency, the spirit is to discover the eigenmode of the wave equation in three-dimensions.
Both types of waves can have a waveform which is an arbitrary time function (so long as it is sufficiently differentiable to conform to the wave equation).
General aperture The wave that emerges from a point source has amplitude at location r that is given by the solution of the frequency domain wave equation for a point source (The Helmholtz Equation ), : where is the 3-dimensional delta function.
An observation or measurement of an object by an observer is modeled by applying the wave equation to the entire system comprising the observer and the object.
A solution of the initial-value problem for the wave equation in three space dimensions can be obtained from the corresponding solution for a spherical wave.