Comments, with reply, on ´An exponential second-order probability-density function´ by V.P. Pyati

The commenter discusses the claim by the author of the above-titled letter (ibid., vol.75, no.11, p.1548-9, Nov. 1987) that the joint probability density function (JPDF) used previously by the commenter is unrealistic in the limit of widely separated (time-series or rough-surface) points. The nature of the use of the JPDF in the physical optics integral for very-rough-surface scatter avoids the limit where this problem occurs, so the scatter results based on the commenter´s model remain valid. He further observes that the exponential JPDF given by Pyati is neither simple nor easy to manipulate. Pyati presents some counterarguments.