کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
843402 908553 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Inverse scattering problem with data at fixed energy and fixed incident direction
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Inverse scattering problem with data at fixed energy and fixed incident direction
چکیده انگلیسی
Let Aq(α′,α,k) be the scattering amplitude, corresponding to a local potential q(x), x∈R3, q(x)=0 for |x|>a, where a>0 is an arbitrary large fixed number, α′,α∈S2 are unit vectors, S2 is the unit sphere in R3, α is the direction of the incident wave, k2>0 is the energy. We prove that given an arbitrary function f(α′)∈L2(S2), an arbitrary fixed α0∈S2, an arbitrary fixed k>0, and an arbitrary small ε>0, there exists a potential q(x)∈L2(D) where D⊂R3 is a bounded domain such that (∗)‖Aq(α′,α0,k)−f(α′)‖L2(S2)<ε. The potential q, for which (∗) holds, is not unique. We give a method for finding such a q, and a formula for this q.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 69, Issue 4, 15 August 2008, Pages 1478-1484
نویسندگان
,