Energy considerations are of considerable importance in acoustics. Their usefulness is mainly due to the fact that a statistical approach where the energy of the sound field is considered gives extremely useful approximations. The value of knowing the sound power radiated by a source is due to the fact that this quantity is largely independent of the surroundings of the source in the audible frequency range and makes it possible to predict the sound pressure generated by the source with very little additional information. By comparison, solving the wave equation is infinitely more complicated and requires much more information.
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Jacobsen, F. (2008). Intensity Techniques. In: Havelock, D., Kuwano, S., Vorländer, M. (eds) Handbook of Signal Processing in Acoustics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-30441-0_58
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