Research Topics
| Vadim A MarkelSummaryAffiliation: University of Pennsylvania Country: USA Publications
Research Grants
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Detail Information
Publications
Correct definition of the Poynting vector in electrically and magnetically polarizable medium reveals that negative refraction is impossibleVadim A Markel
Departments of Radiology and Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA
Opt Express 16:19152-68. 2008..This result holds for active or passive media and in the presence of anisotropy and spatial dispersion...- Multiple projection optical diffusion tomography with plane wave illuminationVadim A Markel
Departments of Radiology and Bioengineering, University of Pennsylvania, Philadelphia, PA 19104 USA
Phys Med Biol 50:2351-64. 2005..Inversion methods are derived for image reconstructions with extremely large data sets. Numerical simulations are performed for fixed and rotated slabs... - Symmetries, inversion formulas, and image reconstruction for optical tomographyVadim A Markel
Department of Radiology, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
Phys Rev E Stat Nonlin Soft Matter Phys 70:056616. 2004..These algorithms are suitable for the reconstruction of images from very large data sets... - On the current-driven model in the classical electrodynamics of continuous mediaVadim A Markel
Department of Radiology and Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA
J Phys Condens Matter 22:485401. 2010..The current-driven model in which a continuous medium is excited by a pre-determined current which overlaps with the medium in all points in space but is not subject to constitutive relations is critically analyzed... - Single-scattering optical tomography: simultaneous reconstruction of scattering and absorptionLucia Florescu
Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
Phys Rev E Stat Nonlin Soft Matter Phys 81:016602. 2010..Numerical examples of image reconstruction are obtained using samples of optical depth of up to 3.2. The forward data are obtained from numerical solution of the RTE, accounting for all orders of scattering... - Optical tomography with structured illuminationVladimir Lukic
Department of Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA
Opt Lett 34:983-5. 2009..A fast image reconstruction algorithm is proposed that reduces the required number of measurements of the optical field compared to methods that utilize point-source illumination. The results are illustrated with numerical simulations... - Single-scattering optical tomographyLucia Florescu
Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
Phys Rev E Stat Nonlin Soft Matter Phys 79:036607. 2009..It is also shown that the use of broken rays does not result in additional ill posedness of the inverse problem in comparison to the classical problem of inverting the Radon transform. Applications to biomedical imaging are described... - Propagation of diffuse light in a turbid medium with multiple spherical inhomogeneitiesVitaliy N Pustovit
Department of Radiology, Washington University, St. Louis, Missouri 63110, USA
Appl Opt 43:104-12. 2004..The method is generalized for the case of additional planar diffuse-nondiffuse interfaces and is therefore applicable to the half-space and slab imaging geometries... - Experimental demonstration of an analytic method for image reconstruction in optical diffusion tomography with large data setsZheng-Min Wang
Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
Opt Lett 30:3338-40. 2005..Using a continuous-wave optical tomography system with 10(8) source-detector pairs, we demonstrate the reconstruction of an absorption image of a phantom consisting of a highly scattering medium containing absorbing inhomogeneities... - Dual-projection optical diffusion tomographyVadim A Markel
Departments of Radiology and Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
Opt Lett 29:2019-21. 2004..An image reconstruction algorithm is derived and illustrated with simulations. It is shown that the spatial resolution of images improves by a factor of 4-5 due to the second projection... - Fluorescent optical tomography with large data setsGeorge Y Panasyuk
Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
Opt Lett 33:1744-6. 2008..We show that the algorithms previously developed by us can be modified to reconstruct the concentration of fluorescent contrast agents... - Inverse problem in optical diffusion tomography. IV. Nonlinear inversion formulasVadim A Markel
Department of Radiology, Washington University, St Louis, Missouri 63110, USA
J Opt Soc Am A Opt Image Sci Vis 20:903-12. 2003..The higher-order terms represent nonlinear corrections to this result. We illustrate our results with computer simulations in model systems... - Diffusion approximation revisitedManabu Machida
Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
J Opt Soc Am A Opt Image Sci Vis 26:1291-300. 2009..Thus, the separation of the specific intensity into reduced and diffuse components is unnecessary. We also discuss the conditions under which the DA is applicable... - Homogenization of Maxwell's equations in periodic composites: Boundary effects and dispersion relationsVadim A Markel
Department of Radiology and Graduate Group in Applied Mathematics and Computational Science, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
Phys Rev E Stat Nonlin Soft Matter Phys 85:066603. 2012..The homogenization theory of this paper is designed to predict various physically measurable quantities rather than to simply approximate certain coefficients in a partial differential equation... - Inverse problem in optical diffusion tomography. III. Inversion formulas and singular-value decompositionVadim A Markel
Department of Radiology, Washington University, St Louis, Missouri 63110, USA
J Opt Soc Am A Opt Image Sci Vis 20:890-902. 2003..Computer simulations are used to illustrate our results in model systems... - Inverse problem in optical diffusion tomography. II. Role of boundary conditionsVadim A Markel
Department of Electrical Engineering, Washington University, St Louis, Missouri 63130, USA
J Opt Soc Am A Opt Image Sci Vis 19:558-66. 2002..Four different geometries are considered with boundary conditions imposed on a single plane and on two parallel planes and on a cylindrical and on a spherical surface...
Research Grants
- Multiprojection optical diffusion tomographyVadim Markel; Fiscal Year: 2006..Specific Aim 3: To use the experimental device of the Specific Aim 2 to image a small animal, such as a laboratory mouse. ..