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This paper investigates the relationship between interior transmission eigenvalues k 0 > 0 and the accumulation point 1 of the eigenvalues of the scattering operator S(k) when k approaches k 0 . As it is well known, the spectrum of S(k) is discrete, the eigenvalues µ n (k) lie on the unit circle in C and converge to 1 from one side depending on the sign of the contrast. Under certain (implicit) conditions on the contrast it is shown that interior transmission eigenvalues k 0 can bedoi:10.1088/0266-5611/29/10/104011 fatcat:u4rjfwvpxzezppbephwbgyrpve