Stationarity, homogeneity and isotropy of the electromagnetic field in the presence of random sources

Abstract

Some of the consequences of stationarity, homogeneity and isotropy and some of the simplifications on the forms and relations among the second-order tensor potentials and correlation tensors in the presence of random sources are studied. General forms of the second-order correlation tensors are derived for a fluctuating electromagnetic field which is stationary, homogeneous and isotropic. For such a field it is shown that the seventy-six components of the correlation tensors of the fields, charges and currents depend only on two linearly independent scalar functions. If the field is not isotropic then the correlation tensors depend on ten linearly independent functions.