Reply to A. K. Fung's comments

摘要

One of the purposes of my recent paper (Stogryn, 1967) was to obtain expressions for the bistatic scattering coefficients of a normally distributed random surface without any approximations in addition to the Kirchhoff approximation. The results are given by eqs (9) and (31) of that paper. It does not appear to me that the same result can be obtained more simply by an initial integration by parts as discussed in Beckmann and Spizzichino (1963), and suggested by Fung. The use of an integration by parts is indeed effective for an infinitely conducting surface where certain coefficients (a, b, and c in the notation of Beckmann and Spizzichino) are independent of position, but an examination of section 5.4 (Beckmann and Spizzichino, 1963) shows that to achieve simple results in the case of finite conductivity, additional ad hoc approximations such as writing the expected value of a product as the product of expected values are necessary. Such additional assumptions have been used by Fung (1966) in his studies also. This type of approximation was avoided in section 4 of Stogryn (1967), and hence more complicated procedures were necessary.