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20222026
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math.AP2026

Inverse Scattering for Single Photons in Quantum Optics

Giovanni Covi, Matti Lassas, Medet Nursultanov +3

We study inverse problems for a time-harmonic one-photon model describing the interaction of a single photon with a medium of stationary two-level atoms. After time-harmonic reduct…

math.AP2026

An inverse free boundary problem

Cătălin I. Cârstea, Matti Lassas, Jinpeng Lu +2

We study inverse problems for the elliptic and parabolic obstacle problems from boundary measurements. For the classical elliptic obstacle problem with strictly superharmonic obsta…

math.AP2026

Generic Recovery of Permittivity and Permeability in Anisotropic Maxwell Systems

Antonio Cocan, Maarten V. de Hoop, Joonas Ilmavirta +2

We study the inverse problem of recovering the constitutive tensors of a homogeneous anisotropic electromagnetic medium without magnetoelectric coupling (non-chiral) from its Fresn…

math.AP2026

Determination of an anisotropic perturbation in elastic inverse scattering

Matti Lassas, Shiqi Ma, Lauri Oksanen +2

We consider a linearized inverse scattering problem for elastic waves. We prove that a fully anisotropic perturbation of the elastic parameters around an isotropic and homogeneous…

math.AP2026

An inverse problem for semilinear wave equations on metric tree graphs

Sergei Avdonin, Matti Lassas, Jinpeng Lu +2

We study the inverse problem for a semilinear wave equation on metric tree graphs. From the Dirichlet-to-Neumann map defined at all but one of the boundary vertices, we recover unk…