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:
“As one delves deeper and deeper into Etiquette, disquieting thoughts come. That old Is- It-Worth-It Blues starts up again softly, perhaps, but plainly. Those who have mastered etiquette, who are entirely, impeccably right, would seem to arrive at a point of exquisite dullness. The letters and the conversations of the correct, as quoted by Mrs. Post, seem scarcely worth the striving for. The rules for finding topics of conversation fall damply on the spirit.”
—Dorothy Parker (1893–1967)
“I count him a great man who inhabits a higher sphere of thought, into which other men rise with labor and difficulty; he has but to open his eyes to see things in a true light, and in large relations; whilst they must make painful corrections, and keep a vigilant eye on many sources of error.”
—Ralph Waldo Emerson (1803–1882)
“When infant Science makes a pleasant face
And waves again that hollow toy, the Race;”
—Edwin Arlington Robinson (1869–1935)
“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)