Analysis of the Green’s function approach to one-dimensional inverse problems. II: Simultaneous reconstruction of two parameters. (English) Zbl 0809.35156
Summary: [Part I appeared in ibid. 34, No. 12, 5724-5746 (1993; Zbl 0785.35110).]
The wave-splitting Green’s function approach to one-dimensional electromagnetic inverse problems of simultaneous reconstructions with different types of scattering data is analyzed. Theorems of existence, uniqueness, and stability are given for the following types of scattering data: reflection and transmission data for one round trip, two-sided reflection data for one round trip, reflection data for two round trips.
The wave-splitting Green’s function approach to one-dimensional electromagnetic inverse problems of simultaneous reconstructions with different types of scattering data is analyzed. Theorems of existence, uniqueness, and stability are given for the following types of scattering data: reflection and transmission data for one round trip, two-sided reflection data for one round trip, reflection data for two round trips.
Keywords:
wave-splitting Green’s function approach; existence; uniqueness; stability; types of scattering dataCitations:
Zbl 0785.35110References:
| [1] | DOI: 10.1063/1.530279 · Zbl 0785.35110 · doi:10.1063/1.530279 |
| [2] | DOI: 10.1016/0165-2125(89)90024-3 · Zbl 0697.73078 · doi:10.1016/0165-2125(89)90024-3 |
| [3] | DOI: 10.1063/1.527667 · Zbl 0618.45005 · doi:10.1063/1.527667 |
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