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Currently displaying 1 – 4 of 4

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On determining a riemannian manifold from the Dirichlet-to-Neumann map

Matti Lassas; Gunther Uhlmann — 2001

Annales scientifiques de l'École Normale Supérieure

Inverse Scattering for Waveguides

Hiroshi Isozaki; Yaroslav Kurylev; Matti Lassas

Séminaire de théorie spectrale et géométrie

We study the inverse scattering problem for a waveguide $(M, g)$ with cylindrical ends, $M = M^{c} \cup (\cup_{α = 1}^{N} (Ω^{α} \times (0, \infty)))$ , where each $Ω^{α} \times (0, \infty)$ has a product type metric. We prove, that the physical scattering matrix, measured on just one of these ends, determines $(M, g)$ up to an isometry.

Mathematics of Invisibility

Allan Greenleaf; Yaroslav Kurylev; Matti Lassas; Gunther Uhlmann — 2007

Journées Équations aux dérivées partielles

We will describe recent some of the recent theoretical progress on making objects invisible to electromagnetic waves based on singular transformations.

Metric tensor estimates, geometric convergence, and inverse boundary problems.

Anderson, Michael; Katsuda, Atsushi; Kurylev, Yaroslav; Lassas, Matti; Taylor, Michael — 2003

Electronic Research Announcements of the American Mathematical Society [electronic only]

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