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 whole point about the true unconscious is that it is all the time moving forward, beyond the range of its own fixed laws or habits. It is no good trying to superimpose an ideal nature upon the unconscious.”
—D.H. (David Herbert)
“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)
“There is no sea more dangerous than the ocean of practical politics—none in which there is more need of good pilotage and of a single, unfaltering purpose when the waves rise high.”
—Thomas Henry Huxley (1825–95)
“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)