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Acoustic and electromagnetic wave phenomena may seem to have a proper formal representation in field theory dating from the 19th century, founded on the mathematics of complex functions. This paper shows, however, that when replacing the classical spectrum-domain approach related to the assumption of harmonic timeform of signals, with a time-domain approach imposing no restriction as to the class of time evolution of source and field signals, it is possible to perform such a description offatcat:vn2fwzqtpvg3rnjosnuhfs4pza