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 face of nature and civilization in this our country is to a certain point a very sufficient literary field. But it will yield its secrets only to a really grasping imagination.... To write well and worthily of American things one need even more than elsewhere to be a master.”
—Henry James (1843–1916)
“The American grips himself, at the very sources of his consciousness, in a grip of care: and then, to so much of the rest of life, is indifferent. Whereas, the European hasn’t got so much care in him, so he cares much more for life and living.”
—D.H. (David Herbert)
“Come unto these yellow sands,
And then take hands.
Curtsied when you have and kissed
The wild waves whist,
Foot it featly here and there;
And, sweet sprites, the burden bear.”
—William Shakespeare (1564–1616)
“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)