The representation of the transmission function by the series of exponents is discussed based on the idea of replacing the absorption coefficient very changeable with frequency by a smooth function of frequency. Making use of this representation, simple approximations of the transmission function are derived for inhomogeneous media and overlapping spectra. The adequacy of these relations is illustrated by calculations of the transmission function in the spectral ranges 6600–7700 cm–1 and 2200–2400 cm–1 and by their comparison with experimental data.