Definition:Wave Profile

Definition

Let $\phi$ be a wave which is propagated along the $x$-axis with velocity $c$.

At $t = 0$, let $\phi = \map f x$.

Then $\map f x$ is the wave profile of $\phi$.

This can be expressed as: $\paren {\map \phi x}_{t \mathop = 0} = \map f x$

Also see

• Results about wave profiles can be found here.

Sources

• 1955: C.A. Coulson: Waves (7th ed.) ... (previous) ... (next): Chapter $\text {I}$: The Equation of Wave Motion: $\S 2$