References
- Costabel M , Stephan E . A direct boundary integral equation method for transmission problems. J Math Anal Appl. 1985;106:367–413.
- Hsiao GC , Xu L . A system of boundary integral equations for the transmission problem in acoustics. Appl Numer Math. 2011;61:1017–1029.
- Isakov V . On uniqueness in the inverse transmission scattering problem. Commun Partial Differ Equ. 1990;15:1565–87.
- Yan GZ . Inverse scattering for transmission problem. Comput Math Appl. 2002;44:439–444.
- Ghosh Roy DN , Warner J , Couchman LS , et al . Inverse obstacle transmission problem in acoustics. Inverse Prob. 1998;14:903–929.
- Hohage T , Schormann C . A Newton-type method for a transmission problem in inverse scattering. Inverse Prob. 1998;14:1207–1227.
- You YX , Miao GP . An indicator sampling method for solving the inverse acoustic scattering problem from penetrable obstacles. Inverse Prob. 2002;18:859–880.
- Anagnostopoulos KA , Charalambopoulos A , Kleefeld A . The factorization method for the acoustic transmission problem. Inverse Prob. 2013;29:115015 (29pp).
- Sylvester J , Uhlmann G . The Dirichlet to Neumann map and applications. Inverse problems in partial differential equations. Philadelphia (PA): SIAM; 1990. p. 101–139.
- Hettlich F . On the uniqueness of the inverse conductive scattering problem for the Helmholtz equation. Inverse Prob. 1994;10:29–144.
- Cakoni F , Colton D , Monk P . The determination of the surface conductivity of a partially coated dielectric. SIAM J Appl Math. 2005;65:767–789.
- Cakonia F , Nakamurab G , Sinic M , et al . The identification of a penetrable obstacle with mixed transmission conditions from far field measurements. Appl Anal. 2010;89:67–86.
- Bondarenko O , Liu X . The factorization method for inverse obstacle scattering with conductive boundary condition. Inverse Prob. 2013;29:095021.
- Monk P , Selgas V . Sampling type methods for an inverse waveguide problem. Inverse Prob Imaging. 2012;6:709–747.
- Bonnet-BenDhia AS , Chesnel L , Haddar H . On the use of t-coercivity to study the interior transmission eigenvalue problem. C R Acad Sci Paris Ser I. 2011;349:647–651.
- Colton D , Haddar H , Piana P . The linear sampling method in inverse electromagnetic scattering theory. Inverse Prob. 2003;19:105–137.
- Cakoni F , Colton D . Qualitative methods in inverse scattering theory. Berlin: Springer; 2006.
- Colton D , Kress R . Integral equation methods in scattering theory. Wiley, New York (NY): Springer-Verlag; 1983.
- Cakoni F , Colton D , Monk P . The direct and inverse scattering problems for partially coated obstacles. Inverse Prob. 2001;17:1997–2015.
- Yan G , Ye J . Boundary integral method for scattering problems with cracks buried in a piecewise homogeneous medium. Math Meth Appl Sci. 2012;35:84–96.
- Colton D , Kress R . Inverse acoustic and electromagnetic scattering theory. 3rd ed. New York (NY): Springer; 2013.
- Mao Y , Chen YG , Guo J . The mathematical basis of the inverse scattering problem for cracks from near-field data. Math Prob Eng. 2015;2015:1–8.