Inverse scattering in one-dimensional nonconservative media
- Cite this article as:
- Aktosun, T., Klaus, M. & van der Mee, C. Integr equ oper theory (1998) 30: 279. doi:10.1007/BF01195585
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The inverse scattering problem arising in wave propagation in one-dimensional non-conservative media is analyzed. This is done in the frequency domain by considering the Schrödinger equation with the potentialikP(x)+Q(x), wherek2 is the energy andP(x) andQ(x) are real integrable functions. Using a pair of uncoupled Marchenko integral equations,P(x) andQ(x) are recovered from an appropriate set of scattering data including bound-state information. Some illustrative examples are provided.