Reflection and Refraction at a Random Moving Surface. II. Number of Specular Points in a Gaussian Surface

The number of specular points reflected in a random Gaussian surface is determined theoretically under the following alternative conditions: (1) when the surface is perfectly long crested (two-dimensional); (2) when the surface is three-dimensional but isotropic; (3) for quite general surfaces, provided that the observer and the source of radiation are both at a great distance from the surface.The results can be applied to the similar problem when the surface forms the boundary of two refracting media.