caa a22 4500 386386196 CHVBK 20180307112059.0 cr unu---uuuuu 161130e198911 xx s 000 0 eng 10.1017/S0305004100068274 doi S0305004100068274 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100068274 Far field patterns and inverse scattering problems for imperfectly conducting obstacles [Elektronische Daten] We first examine the class of far field patterns for the scalar Helmholtz equation in 2 corresponding to incident time harmonic plane waves subject to an impedance boundary condition where the impedance is piecewise constant with respect to the incident direction and continuous with respect to x ε ∂ D where ∂ D is the scattering obstacle. We then examine the class of far field patterns for Maxwell's equations in subject to an impedance boundary condition with constant impedance. The results obtained are used to derive optimization algorithms for solving the inverse scattering problem. Copyright © Cambridge Philosophical Society 1989 Angell T. S. Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716, U.S.A. Colton David Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716, U.S.A. Kress Rainer Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Göttingen, West Germany Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 106/3(1989-11), 553-569 0305-0041 106:3<553 1989 106 PSP https://doi.org/10.1017/S0305004100068274 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100068274 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Angell T. S. Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716, U.S.A NATIONALLICENCE 700 1- Colton David Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716, U.S.A NATIONALLICENCE 700 1- Kress Rainer Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Göttingen, West Germany NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 106/3(1989-11), 553-569 0305-0041 106:3<553 1989 106 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge