In calcul ation of t he t heoretica l scatterin g coeffici ent for a te rrai n, p revious a u t hors tentatively assumed t hc normali zed a utocova riance func t io n p(r ) =e-A , 2 fo r the gro und elevation as a fun ction o f di stance from a given point. R ecently a utoco rrelatio n st ud ies were madc using map with co nto urs ranging from one to t wcn ty-fiv c feet. These I'rs ul ted in curves of p (I'), which are a pproxim ated b~' exp ( -lrIIB ) . The t hco retical scatte rill g cross sect ion (uo ) of ma ny such terra ins can be ex presscd as ( 1 ) where u, A, k, an d e a rc standa rd d eviatio n o f t he ta rget tc rra ill , wavele ngt h, wiLv e numbe r(2 7f' /'!I.) a nd t he a ngle of in cid ence res pectively. For t he case whe re JI B is s ma ll as co mpa red to k, t he a bove exp ressio n becomes 4u2 uO= AB (Bcot'e )( 2)These express ions, whell norm a li zed , arc in agree men t with ex perim ental rcsulLs of oLl'e r a u tho rs. It is a lso notewor t hy t hat the res ul ts obtained wi t h an aco llst ic simulato r mod e l co mpa red vc ry well with t his t heo re Lieal expression . T h is work is based 0 11 Lhc '" "operLy th;1t t he grou nd is co ndu ctin g a nd ha s ra nd om elevation variation s. Theon'tical res ults calcul ated o n t he basis o f vary ing gro und impedall ce ra the r tha n its elevatioll >l .. e a lso ill agreemen t with this expressio n.
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