Point Sources and Waves With Cylindrical Symmetry
While Lamb's analysis assumed a straight wavefront, it has been shown* that the same characteristic equations apply to axisymmetric plate waves (e.g. waves propagating with circular wavefronts from point sources, like ripples from a stone dropped into a pond). The difference is that whereas the "carrier" for the straight wavefront is a sinusoid, the "carrier" for the axisymmetric wave is a Bessel function. The Bessel function takes care of the singularity at the source, then converges towards sinusoidal behavior at great distances.
- Klaes, M, in Journées d'Etudes sur l'Emission Acoustique, INSA de Lyon (France), 1978.
Read more about this topic: Lamb Waves
Famous quotes containing the words point, sources, waves and/or symmetry:
“The closer a man approaches tragedy the more intense is his concentration of emotion upon the fixed point of his commitment, which is to say the closer he approaches what in life we call fanaticism.”
—Arthur Miller (b. 1915)
“No drug, not even alcohol, causes the fundamental ills of society. If we’re looking for the sources of our troubles, we shouldn’t test people for drugs, we should test them for stupidity, ignorance, greed and love of power.”
—P.J. (Patrick Jake)
“The shattered water made a misty din.
Great waves looked over others coming in,
And thought of doing something to the shore
That water never did to land before.”
—Robert Frost (1874–1963)
“What makes a regiment of soldiers a more noble object of view than the same mass of mob? Their arms, their dresses, their banners, and the art and artificial symmetry of their position and movements.”
—George Gordon Noel Byron (1788–1824)