APS » PROLA » Phys. Rev. » Volume 47 » Issue 10

Phys. Rev. 47, 735 - 738 (1935)

Equation of a Wave in a Medium with Velocity a Function of Time
Abstract
References
No Citing Articles
Page Images
Download: Page Images , PDF (530 kB), or Buy this Article (Use Article Pack) Export: BibTeX or EndNote (RIS)

P. I. Wold
Union College, Schenectady

Received 18 February 1935

The equation of a wave in a medium for which the velocity is a function of time is obtained. On purely physical considerations for the case of v=v0e-αt and a simple periodic oscillation at the source, the equation is y=a sin 2πν0[t-(1 / α) ln (1+(αx / c)eαt)]. From other considerations the differential equation obtained is y¨+αẏ=c2e-2αty′′ which is satisfied by the equation above.


©1935 The American Physical Society

URL: http://link.aps.org/abstract/PR/v47/p735
DOI: 10.1103/PhysRev.47.735

[ Abstract  |  Previous article  |  Next article  |  Issue 10 ]