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001025792 1001_ $$0P:(DE-Juel1)168537$$aPieronek, Lukas$$b0$$eCorresponding author
001025792 245__ $$aOn trajectories of complex-valued interior transmission eigenvalues
001025792 260__ $$aSpringfield, Mo.$$bAIMS$$c2024
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001025792 520__ $$aThis paper investigates the interior transmission problem for homogeneous media via eigenvalue trajectories parameterized by the magnitude of the refractive index. In the case that the scatterer is the unit disk, we prove that there is a one-to-one correspondence between complex-valued interior transmission eigenvalue trajectories and Dirichlet eigenvalues of the Laplacian which turn out to be exactly the trajectorial limit points as the refractive index tends to infinity. For general simply-connected scatterers in two or three dimensions, a corresponding relation is still open, but further theoretical results and numerical studies indicate a similar connection.
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001025792 7001_ $$0P:(DE-Juel1)169421$$aKleefeld, Andreas$$b1$$eCorresponding author$$ufzj
001025792 773__ $$0PERI:(DE-600)2304184-5$$a10.3934/ipi.2023041$$gVol. 18, no. 2, p. 480 - 516$$n2$$p480 - 516$$tInverse problems and imaging$$v18$$x1930-8337$$y2024
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