Evaluation of average cross‐polarised scattered field from a PEMC cylinder of the random radius with uniform/normal distribution

Abstract

The average scattered field from a random perfect electromagnetic conductor (PEMC) is investigated. First, a very small cylinder is considered and analytical expressions for average scattered field are written using a small approximation of cylindrical wave functions. It is shown that co-polarised average scattered field from a very small PEMC cylinder depends on only zeroth-order scattering coefficient, whereas higher-order coefficients also contribute to cross-polarised average scattered field. Moreover, the average scattered field from a very small PEMC cylinder can be written in terms of average scattered field of a very small perfect electric conductor (PEC) cylinder. The second case deals with small and large radii. In this case, it is not possible to write down analytical expressions for the average field, the numerical average is done. For small PEMC cylinder, it has been observed that average co-polarised scattered field is equal to the scattered field from a cylinder with a mean radius. This is not true in case of cross-polarised scattered field and the difference can be seen for most of the scattering angles. In case of large PEC/PEMC cylinders, it is observed that the average scattered field is almost equal to the scattered field from a cylinder with a mean radius.