Vadim A Markel

Summary

Affiliation: University of Pennsylvania
Country: USA

Publications

  1. ncbi request reprint Homogenization of Maxwell's equations in periodic composites: boundary effects and dispersion relations
    Vadim 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
  2. ncbi request reprint Correct definition of the Poynting vector in electrically and magnetically polarizable medium reveals that negative refraction is impossible
    Vadim A Markel
    Departments of Radiology and Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA
    Opt Express 16:19152-68. 2008
  3. ncbi request reprint Symmetries, inversion formulas, and image reconstruction for optical tomography
    Vadim A Markel
    Department of Radiology, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 70:056616. 2004
  4. ncbi request reprint Multiple projection optical diffusion tomography with plane wave illumination
    Vadim A Markel
    Departments of Radiology and Bioengineering, University of Pennsylvania, Philadelphia, PA 19104 USA
    Phys Med Biol 50:2351-64. 2005
  5. ncbi request reprint On the current-driven model in the classical electrodynamics of continuous media
    Vadim A Markel
    Department of Radiology and Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA
    J Phys Condens Matter 22:485401. 2010
  6. ncbi request reprint Single-scattering optical tomography: simultaneous reconstruction of scattering and absorption
    Lucia Florescu
    Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 81:016602. 2010
  7. ncbi request reprint Optical tomography with structured illumination
    Vladimir Lukic
    Department of Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA
    Opt Lett 34:983-5. 2009
  8. ncbi request reprint Single-scattering optical tomography
    Lucia Florescu
    Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 79:036607. 2009
  9. ncbi request reprint Experimental demonstration of an analytic method for image reconstruction in optical diffusion tomography with large data sets
    Zheng min Wang
    Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
    Opt Lett 30:3338-40. 2005
  10. ncbi request reprint Dual-projection optical diffusion tomography
    Vadim A Markel
    Departments of Radiology and Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
    Opt Lett 29:2019-21. 2004

Research Grants

  1. Multiprojection optical diffusion tomography
    Vadim Markel; Fiscal Year: 2006

Collaborators

Detail Information

Publications17

  1. ncbi request reprint Homogenization of Maxwell's equations in periodic composites: boundary effects and dispersion relations
    Vadim 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...
  2. ncbi request reprint Correct definition of the Poynting vector in electrically and magnetically polarizable medium reveals that negative refraction is impossible
    Vadim 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...
  3. ncbi request reprint Symmetries, inversion formulas, and image reconstruction for optical tomography
    Vadim 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...
  4. ncbi request reprint Multiple projection optical diffusion tomography with plane wave illumination
    Vadim 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...
  5. ncbi request reprint On the current-driven model in the classical electrodynamics of continuous media
    Vadim 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...
  6. ncbi request reprint Single-scattering optical tomography: simultaneous reconstruction of scattering and absorption
    Lucia 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...
  7. ncbi request reprint Optical tomography with structured illumination
    Vladimir 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...
  8. ncbi request reprint Single-scattering optical tomography
    Lucia 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...
  9. ncbi request reprint Experimental demonstration of an analytic method for image reconstruction in optical diffusion tomography with large data sets
    Zheng 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...
  10. ncbi request reprint Dual-projection optical diffusion tomography
    Vadim 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...
  11. ncbi request reprint Propagation of diffuse light in a turbid medium with multiple spherical inhomogeneities
    Vitaliy 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...
  12. ncbi request reprint Fluorescent optical tomography with large data sets
    George 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...
  13. ncbi request reprint Diffusion approximation revisited
    Manabu 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...
  14. ncbi request reprint Inverse problem in optical diffusion tomography. IV. Nonlinear inversion formulas
    Vadim 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...
  15. pmc Diffuse optical tomography in the presence of a chest wall
    Han Y Ban
    University of Pennsylvania, Department of Physics and Astronomy, Philadelphia, PA 19104 6396, USA
    J Biomed Opt 18:26016. 2013
    ..We also introduce and demonstrate a linear algebraic reconstruction method well suited for very large data sets in the presence of a chest wall...
  16. ncbi request reprint Inverse problem in optical diffusion tomography. III. Inversion formulas and singular-value decomposition
    Vadim 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...
  17. ncbi request reprint Inverse problem in optical diffusion tomography. II. Role of boundary conditions
    Vadim 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 Grants1

  1. Multiprojection optical diffusion tomography
    Vadim 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. ..