This paper investigates the practical requirements for sound transmission analysis in reactive fields by sound intensimetry. It is shown that phase mismatch, which determines the common mode rejection index of the measurement system, sets a limit to the reactivity level at which measurements can be performed accurately. An expression is derived which predicts the reactivity at the surface of a test object surrounded by flanking surfaces. It is shown how the minimum microphone spacing or, alternatively, the minimum amount of absorption in the receiving room may be calculated from intensity meter performance figures. Supported by experimental findings, this study proves that practical intensity meters can be used effectively in performing sound transmission analysis in highly reactive receiving rooms such as reverberation chambers.
Nomenclature
Roman symbolsA Surface area of test panel AF Area of flanking surface c The velocity of sound in air f Frequency in Hz h Fraction of the total power transmitted by test panel hF Flanking factor, (flanking power)/(direct power) lo Intensity reference value, 10-l~W/m2 IA Active sound intensity Io Direct intensity transmitted by test panel into receiving room I R Reactive sound intensity k The wave number Le Intensity measurement error in dB Lem Limit specified for sound intensity error in dB Lear Finite distance approximation error in dB L/ Sound intensity level in dB re lpW/m 2 L/m Residual sound intensity level in dB indicated by a sound intensity meter with the probe situated in a purely reactive field LP Sound pressure level in dB re 20 p~Pa LR Reactivity of sound field in dB LRm Common mode rejection index of measurement system in dB LRmo Common mode rejection index in dB, for a microphone spacing Aro Po Pressure reference value, 20 }xPa P(r) Root mean square value of sound pressure at a distance r Po Direct field sound pressure PR Reverberant field sound pressure PRo Reverberant pressure at center of receiving room R Sound transmission loss of test panel R F Sound transmission loss of flanking wall S Receiving room surface area ur Particle velocity in direction r W Total power transmitted into receiving room Greek symbols ot Average sound absorption coefficient of boundary surfaces in receiving room AL Safety margin LRm -LR required to ensure sound intensity error does not exceed Lem dB Ar Spacing between intensity probe microphone centers Aro Microphone spacing for which common mode rejection index is known Volume 28/Number 3 113