Sound - Circular, Spherical, Waves | Britannica
2024年10月17日 · In most real cases, however, a wave originating at some source does not move in a straight line but expands in a series of spherical wavefronts. The fundamental mechanism for this propagation is known as Huygens’ principle, according to which every point on a wave is a source of spherical waves in its own right.
11.8: Spherical Waves - Physics LibreTexts
spherical loudspeaker, a sphere that produces an oscillating pressure at its surface (at radius \(R\)) of the form \(p_{0} \cos \omega t\). What sort of sound waves are produced?
How can we describe wave propagation from a spherical source in terms of source strength? We have described the sound pressure in a spherical wave in terms of a complex constant A, i.e. P(r)= A r e−jkr. Knowing the source strength, we can define A in terms of the sound pressure at the walls of the spherical source: P(a) = A a e−jka =U S Z(a ...
- [PDF]
SPHERICAL WAVES
The fields in such a wave — the E(x,t) and H(x,t) in an electromagnetic wave, or the over-density δρ(x,t) in a sound wave, or whatever — generally look like ψ(r,θ,φ;t) = eikr−iωt r f(θ,φ) + O 1 r . (3) Waves like these are called divergent spherical wavesbecause their wave-fronts are spheres spreading out from the center as r= v ...
Cylindrical vs. Spherical Spreading - Discovery of Sound in the Sea
Cylindrical and spherical spreading are two simple approximations used to describe how sound level decreases as a sound wave propagates away from a source. Spherical spreading describes the decrease in level when a sound wave propagates away from a …
The distinction between spherical and plane waves is of practical importance because it explains how differ-ent microphone types respond depending on their distance from the sound source. For spherical waves, the intensity decreases with the square of the distance but the sound pressure level decreases linearly with distance.
Spherical Waves from a Point Source - Stanford University
Acoustic theory tells us that a point source produces a spherical wave in an ideal isotropic (uniform) medium such as air. Furthermore, the sound from any radiating surface can be computed as the sum of spherical wave contributions from each point on the surface (including any relevant reflections).
17.4: Sound Intensity - Physics LibreTexts
If we assume that the sound wave is spherical, and that no energy is lost to thermal processes, the energy of the sound wave is spread over a larger area as distance increases, so the intensity decreases. The area of a sphere is A = 4πr2. As the wave spreads out from r1 to r2, the energy also spreads out over a larger area:
Sound | Properties, Types, & Facts | Britannica
2024年10月17日 · As such, it is not perfectly representative of sound (see below Circular and spherical waves). A wave of single frequency would be heard as a pure sound such as that generated by a tuning fork that has been lightly struck. As a theoretical model, it helps to elucidate many of the properties of a sound wave.
2019年1月29日 · Visualizing spherical waves • Intensity drops off as 1/r 2 because wave energy is uniformly distributed over a sphere of radius r, with surface area ~ r 2