Monday, February 27, 2012

Wavenumber

To accept area it comes from, brainstorm a basal sine wave, A cos (kx−ωt). Given time t, the antecedent produces ωt oscillations. At the aforementioned time, the antecedent beachcomber foreground propagates abroad from the antecedent through the amplitude to the ambit x to fit the aforementioned bulk of oscillations, kx = ωt. So that the advancement acceleration v is v = x/t = ω/k. The beachcomber propagates faster if college abundance oscillations are broadcast beneath densely in space.1 Formally, Φ = kx−ωt is the phase. Since ω = −dΦ/dt and k = +dΦ/dx, the beachcomber acceleration is v = dx/dt = ω/k.

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