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:
“When women reach the age of maturity, Mother Nature sometimes overworks their frustration to the point of irrationalism. Like the middle-aged man...who finds himself looking longingly at a girl in her early twenties.”
—Mark Hanna, and Nathan Hertz. Dr. Von Loeb (Otto Waldis)
“My profession brought me in contact with various minds. Earnest, serious discussion on the condition of woman enlivened my business room; failures of banks, no dividends from railroads, defalcations of all kinds, public and private, widows and orphans and unmarried women beggared by the dishonesty, or the mismanagement of men, were fruitful sources of conversation; confidence in man as a protector was evidently losing ground, and women were beginning to see that they must protect themselves.”
—Harriot K. Hunt (1805–1875)
“There are no waves without wind.”
—Chinese proverb.
“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)