Analytical evaluation in the design of a coating

The surface impedance of a coating is investigated and defined. The surface impedance is governed largely by the bulk modulus and the associated loss factor. The bulk modulus is but one of a number of moduli that characterize the properties of a coating. The bulk modulus and the shear modulus are the most commonly recognized. The normalized forms of the moduli are related by functions of Poisson's ratio. The normalization of a modulus is by the value of the modulus at the lowest frequency of interest. Were Poisson's ratio to be also independent of frequency, the normalized moduli, as functions of frequency, would all be identical. Since the loss factor that is associated with a normalized modulus is causal, when the normalized moduli are identical so are the associated loss factors. Were Poisson's ratio to be dependent on frequency, the normalized moduli, as functions of frequency, might be regionally or even universally different, and so would be the associated loss factors. Primitive descriptions of typical normalized moduli and the associated loss factors illustrate the design of a coating. The provided data set of the bulk and shear moduli of a coating are employed to test these analytical descriptions of the coating. Of particular interest in these tests is the causal relationship between a normalized modulus and the associated loss factor.