Title :
Application of Pontryagin´s principle of maximum to the inverse problems of scattering
Author :
Batrakov, D.O. ; Tarasov, M.M.
Author_Institution :
Radiophys. Dept., Kharkov Nat. Univ., Ukraine
Abstract :
We are concerned with the practical application of a new approach to the inverse problems of electromagnetic wave scattering. Our main goal is retrieval of an unknown permittivity distribution. Within the framework of such a statement the problem is reduced to minimization of some smoothing functional. Further minimization is carried out with the use of Pontryagin´s (1983) principle of maximum, instead of approaches which are based on the Newton-Kantorovich iterative technique and Euler´s equations
Keywords :
electromagnetic wave scattering; functional equations; inverse problems; minimisation; permittivity; EM wave scattering; Euler´s equations; Newton-Kantorovich iterative technique; Pontryagin´s principle of maximum; electromagnetic wave scattering; inverse problems; permittivity distribution; smoothing functional minimization; Differential equations; Electromagnetic scattering; Inverse problems; Lakes; Scattering parameters; Smoothing methods; Tiles;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2000. MMET 2000. International Conference on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-6347-7
DOI :
10.1109/MMET.2000.890516
