Sound measurements

Symbols

$p, SPL, L PA$

$v, SVL$

$δ$

$I, SIL$

$P, SWL, L WA$

$W$

$w$

$E, SEL$

$Z$

$AF$

$TL$

$\delta$ is the of the particle displacement;

amplitude

$\varphi _{\delta ,0}$ is the of the particle displacement;

phase shift

$\mathbf {k}$ is the ;

angular wavevector

$\omega$ is the .

angular frequency

The particle displacement of a progressive sine wave is given by

where

It follows that the particle velocity and the sound pressure along the direction of propagation of the sound wave x are given by

where

Taking the Laplace transforms of v and p with respect to time yields

Since $\varphi _{v,0}=\varphi _{p,0}$ , the amplitude of the specific acoustic impedance is given by

Consequently, the amplitude of the particle displacement is related to those of the particle velocity and the sound pressure by

Sound

Sound particle

Particle velocity

Particle acceleration

Wood, Robert Williams (1914). Physical optics. New York: The Macmillan Company.

Strong, John Donovan & Hayward, Roger (January 2004). Concepts of Classical Optics. Dover Publications. 978-0-486-43262-5.

ISBN

Barron, Randall F. (January 2003). . NYC, New York: CRC Press. pp. 79, 82, 83, 87. ISBN 978-0-8247-0701-9.

Industrial noise control and acoustics

Related Reading:

Sound measurements

Characteristic

Sound pressure

Particle velocity

Particle displacement

Sound intensity

Sound power

Sound energy

Sound energy density

Sound exposure

Acoustic impedance

Audio frequency

Transmission loss

amplitude

phase shift

angular wavevector

angular frequency

Sound

Sound particle

Particle velocity

Particle acceleration

ISBN

Industrial noise control and acoustics

Acoustic Particle-Image Velocimetry. Development and Applications

Ohm's Law as Acoustic Equivalent. Calculations

Relationships of Acoustic Quantities Associated with a Plane Progressive Acoustic Sound Wave