On a Property of the Set of Radiation Patterns
نویسنده
چکیده
Consider the exterior boundary value problem (V* + k’) u = 0, in R, k > 0. u lr. = k where T is a smooth closed connected surface in Ip’, u exp(ik 1x1) Ixl-‘f(k, n) as Ix/ + co, n =x lx]-‘, f is called the radiation pattern. We prove that when h runs through any dense set in L’(r) the corresponding radiation pattern f(k, n) runs through a dense set in L*(S’) for any k > 0, where S* is the unit sphere in P’.
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