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My research is devoted to studying the interaction of light with matter and to using light or other waves to probe the structure and properties of matter with applications to biomedical imaging and tomography. Specific areas I work on include diffuse optical tomography, transport of light in tissues, tomography with the broken-ray transform and its generalizations (applicable to X-ray imaging with the account of scattering), and associated inverse problems. I am very interested in devising various ways for solving the nonlinear inverse scattering problem, which is one of the main remaining frontiers in the field, and also in inverse problems with physical constraints. I have used numerical simulations throughout my career and it still plays a very important role in my research. I enjoy writing code and have 30 years of programming experience.
H.Y.Ban, D.R.Busch, S.Pathak, F.A.Moscatelli, M.Machida, J.C.Schotland, V.A.Markel, and A.G.Yodh: Diffuse optical tomography in the presence of a chest wall
Journal of Biomedical Optics 18 (2): 026016,2013.
X.Y.Z.Xiong, L.J.Jiang, V.A.Markel and I.Tsukerman: Surface waves in three-dimensional electromagnetic composites and their effect on homogenization Optics Express 21 (9): 10412-10421,2013.
V.A.Markel and J.C.Schotland
: Homogenization of Maxwell's equations in periodic composites: Boundary effects and dispersion relations
Physical Review E 85 (6): 066603,2012.
V.A.Markel and A.K.Sarychev: Comment on "Green's function theory for infinite and semi-infinite particle chains"
Physical Review B 86 (3): 037401,2012.
L.Florescu, V.A.Markel and J.C.Schotland: Inversion formulas for the broken-ray Radon transform Inverse Problems 27 : 025002,2011.
A.A.Govyadinov, G.Y.Panasyuk, J.C.Schotland and V.A.Markel: Theoretical and numerical investigation of the size-dependent optical effects in metal nanoparticles
Physical Review B 84 (15): 155461,2011.
A.E.Ershov, I.L.Isaev, P.N.Semina, V.A.Markel, and S.V.Karpov: Effects of size polydispersity on the extinction spectra of colloidal nanoparticle aggregates
Physical Review B 85 (4): 045421,2011.
G.Y.Panasyuk, J.C.Schotland and V.A.Markel: Quantum theory of the electromagnetic response of metal nanofilms
Physical Review B 84 (5): 155460,2011.
L.Florescu, V.A.Markel and J.C.Schotland: Single-scattering optical tomography: Simultaneous reconstruction of scattering and absorption
Physical Review E 81 (1): 016602,2010.
V.A.Markel: Comment on "What is negative refraction"
Journal of Modern Optics 57 (20): 2098-2102; ibid 2109-2110 (rejoinder),2010.
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