Publications (2000-2016)
  1. Carney, S. and Schotland, J. Inverse Scattering for Near-Field Microscopy. App. Phys. Lett. 77, 2798-2800 (2000)
  2. Carney, S., Markel, V. and Schotland, J. Near-Field Tomography without Phase Retrieval. Phys. Rev. Lett. 86, 5874-5877 (2001)
  3. Markel, V. and Schotland, J. Inverse Problem in Optical Diffusion Tomography. I Fourier-Laplace Inversion Formulas. J. Opt. Soc. Am. A 18, 1336-1347 (2001)
  4. Carney, S. and Schotland, J. Three-Dimensional Total Internal Reflection Microscopy. Opt. Lett. 26, 1072-1074 (2001)
  5. Schotland, J. and Markel, V. Inverse Scattering with Diffusing Waves. J. Opt. Soc. Am. A 18, 2767-2777 (2001)
  6. Markel, V. and Schotland, J. Inverse Scattering for the Diffusion Equation with General Boundary Conditions. Phys. Rev. E [Rapid Communication] 64, 035601 (2001)
  7. Markel, V. and Schotland, J. Inverse Problem in Optical Diffusion Tomography. II Role of Boundary Conditions. J. Opt. Soc. A 19, 558-566 (2002)
  8. Markel, V. and Schotland, J. Scanning Paraxial Optical Tomography. Opt. Lett. 27, 1123-1125 (2002)
  9. Markel, V. and Schotland, J. Effects of Sampling and Limited Data in Optical Tomography. App. Phys. Lett. 81, 1180-1182 (2002)
  10. Carney, S. and Schotland, J. Determination of Three-Dimensional Structure in Photon Scanning Tunneling Microscopy. J. Opt. A 4, S140-S144 (2002)
  11. Markel, V., Mital, V. and Schotland, J. Inverse Problem in Optical Diffusion Tomography. III Inversion Formulas and Singular Value Decomposition.  J. Opt. Soc. Am. A 20, 890-902 (2003)
  12. Markel, V., O’Sullivan, J. and Schotland, J. Inverse Problem in Optical Diffusion Tomography. IV Nonlinear Inversion Formulas. J. Opt. Soc. Am. A 20, 903-912 (2003)  
  13. Carney, S. and Schotland, J. Theory of Total Internal Reflection Tomography. J. Opt. Soc. Am. A 20, 542-548 (2003)
  14. Carney, S. and Schotland, J. Near-Field Tomography. MSRI Publications in Mathematics 47, 133-168 (2003)
  15. Markel, V. and Schotland, J. Dual-Projection Optical Tomography. Opt. Lett. 17, 2019-2022 (2004)
  16. Carney, S., Frazin, R., Bozhevolnyi, S., Volkov, V., Boltasseva, A., and Schotland, J. A Computational Lens for the Near-Field. Phys. Rev. Lett. 92, 163903 (2004)
  17. Markel, V. and Schotland, J. Symmetries, Inversion Formulas, and Image Reconstruction for Optical Tomography. Phys. Rev. E 70, 056616  (2004)
  18. Carney, S., Schotland, J. and Wolf, E. A Generalized Optical Theorem for Reflection, Transmission and Extinction of Optical Power for Scalar Fields. Phys. Rev. E 70, 036611 (2004)
  19. Markel, V. and Schotland, J. Multiple Projection Optical Diffusion Tomography with Plane-Wave Illumination. Phys. Med. Bio. 50, 2351-2364 (2005)
  20. Lytle, D., Carney, S., Schotland, J. and Wolf, E. A Generalized Optical Theorem for Reflection, Transmission and Extinction of Optical Power for Electromagnetic Fields. Phys. Rev. E 71, 056610 (2005)
  21. Zysk, A., Carney, S. and Schotland, J. Eikonal Method for Calculation of Coherence Functions. Phys. Rev. Lett. 95, 043904 (2005)
  22. Panasyuk, G., Markel, V. and Schotland, J. Superresolution and Corrections to the Diffusion Approximation in Optical Tomography. App. Phys. Lett. 87, 101111 (2005)
  23. Wang, Z., Panasyuk, G., Markel, V. and Schotland, J. Experimental Demonstration of an Analytic Method for Image Reconstruction in Optical Tomography with Large Data Sets. Opt. Lett. 30, 3338-3340 (2005)
  24. Panasyuk, G., Schotland, J. and Markel, V. Radiative Transport Equation in Rotated Reference Frames. J. Phys. A 39, 115-137 (2006)
  25. Kim, A. and Schotland, J. Self-Consistent Scattering Theory for the Radiative Transport Equation. J. Opt. Soc. Am. A 23, 596-603 (2006)
  26. Markel, V. and Schotland, J. Fourier-Laplace Structure of the Linearized Inverse Scattering Problem for the Radiative Transport Equation. Inv. Prob. Imag. 1, 181-189 (2006)
  27. Panasyuk, G., Markel, V., Carney, S. and Schotland, J. Nonlinear Inverse Scattering and Three Dimensional Near-Field Optical Imaging. App. Phys. Lett. 89, 221116  (2006)
  28. Sun, J., Carney, S. and Schotland, J. Near-Field Scanning Optical Tomography: A Nondestructive Method for Three-Dimensional Nanoscale Imaging IEEE J. Selected Topics in Quantum Electronics [Invited Paper] 12, 1072-1083 (2006)
  29. Markel, V. and Schotland, J. On the Convergence of the Born Series in Optical Tomography with Diffuse Light. Inverse Problems 23, 1445-1465 (2007)
  30. Fisher, A., Schissler, A. and Schotland, J. Photoacoustic Effect with Multiply-Scattered Light. Phys. Rev. E 76, 036604 (2007)
  31. Davis, B., Swan, A., Unlu, S., Karl, W., Goldberg, B., Schotland, J. and Carney, S. Spectral Self- Interference Microscopy for Nanoscale Axial Imaging. J. Opt. Soc. Am. A 24, 3587-3599 (2007)
  32. Sun, J., Carney, S. and Schotland, J. Strong Tip Effects in Near-Field Optical Tomography. J. App. Phys. 102, 103103 (2007)
  33. Panasyuk, G., Schotland, J. and Markel, V. Classical Theory of Optical Nonlinearity in Conducting Nanoparticles. Phys. Rev. Lett. 100, 047402 (2008)
  34. Schoonover, R., Zysk, A., Carney, S., Schotland, J. and Wolf, E. Geometrical Optics Limit of Stochastic Electromagnetic Fields. Phys. Rev. A 77, 043831 (2008)
  35. Konecky, S., Panasyuk, G., Lee, K., Markel, V., Yodh, A. and Schotland, J. Imaging Complex Struc- tures with Diffuse Light. Optics Express 16, 5048-5060 (2008)
  36. Panasyuk, G., Wang, Z., Schotland, J. and Markel, V. Fluorescence Optical Tomography with Large Data Sets. Opt. Lett. 33, 1744-1746 (2008)
  37. Epstein, C. and Schotland, J. The Bad Truth About Laplace’s Transform. SIAM Review 50, 504–520 (2008)
  38. Schotland, J. Inversion Formulas and Fast Image Reconstruction Algorithms in Optical Tomography. CRM Series 7, 367–387 (2008)
  39. Moskow, S. and Schotland, J. Convergence and Stability of the Inverse Scattering Series for Diffuse Waves. Inverse Problems 24, 065005 (16pp) (2008)
  40. Lukic, V., Markel, V. and Schotland, J. Optical Tomography with Structured Illumination. Opt. Lett. 34, 983-985 (2009)
  41. Florescu, L., Schotland, J. and Markel, V. Single-Scattering Optical Tomography. Phys. Rev. E 79, 036607 (2009)
  42. Machida, M., Panasyuk, G., Markel, V., and Schotland, J. Diffusion Approximation Revisited. J. Opt. Soc. Am A 26, 1291-1301 (2009)
  43. Panasyuk, G., Schotland, J. and Markel, V. Short-Distance Expansion for the Electromagnetic Green’s Tensor. J. Phys. A 42, 275203 (2009)
  44. Moskow, M. and Schotland, J. Numerical Studies of the Inverse Born Series for Diffuse Waves. Inverse Probl. 25, 095007 (18pp) (2009)
  45. Kilgore, K., Moskow, M. and Schotland, J. Inverse Born Series for Diffuse Waves. Contemporary Math. 494, 113-123 (2009)
  46. Sun, J., Schotland, J., Hillenbrand, R. and Carney, S. Nanoscale Optical Tomography Using Volume Scanning Near-Field Microscopy. App. Phys. Lett. 95, 121108 (2009)
  47. Konecky, S., Mahzar, A., Cuccia, D., Durkin, A., Schotland, J., Tromberg, B. Quantitative Optical Tomography of Subsurface Heterogeneities using Spatially Modulated Structured Light. Optics Express 17, 14780-14790 (2009)
  48. Govydanov, A., Panasyuk, G. and Schotland, J. Phaseless Three-Dimensional Optical Nano-Imaging. Phys. Rev. Lett. 103, 213901 (2009)
  49. Arridge, S. and Schotland, J. Optical Tomography: Forward and Inverse Problems. Inverse Problems 25, 123010 (59pp) (2009)
  50. Markel, V. and Schotland, J. On the Sign of Refraction in Anisotropic Non-Magnetic Media. J. Opt. 12, 015104  (2010)
  51. Florescu, L., Markel, V. and Schotland, J. Single-Scattering Optical Tomography: Simultaneous Reconstruction of Absorption and Scattering. Phys. Rev. E 81, 016602 (2010)
  52. Machida, M., Panasyuk, G., Markel, V., and Schotland, J. Green’s Function for the Radiative Transport Equation in the Slab Geometry. J. Phys. A 43, 065402  (2010)
  53. Bal, G. and Schotland, J. Inverse Scattering and Acousto-Optic Imaging. Phys. Rev. Lett. 104, 043902 (2010)
  54. Davis, B., Sun, J., Schotland, J. and Carney, S. Inverse Scattering for Broadband Near-Field Scanning Optical Microscopy. J. Mod. Opt. 57, 809–815 (2010)
  55. Schotland, J. Quantum Imaging and Inverse Scattering. Opt. Lett. 35, 3309-3311 (2010)
  56.  Florescu, L., Markel, V and Schotland, J. Inversion Formulas for the Broken-Ray Radon Transform. Inverse Probl. 27, 025002 (2011)
  57. Schotland, J. Path Integrals and Optical Tomography. Contemporary Math. 548, 77-84 (2011)
  58. Schotland, J. Direct Reconstruction Methods in Optical Tomography. Lecture Notes in Mathematics 2035, 1-30 (2011)
  59. Panasyuk, G., Schotland, J. and Markel, V. Quantum Theory of the Electric Polarization Nonlinearity in Metal Nanofilms. Phys. Rev. B 84, 155460 (2011)
  60.  Govyadinov, A., Panasyuk, G., Schotland, J. and Markel, V. Theory of Size-Dependent Optical Effects in Metal Nanoparticles. Phys. Rev. B 84, 155461 (2011)
  61. Arridge, S., Moskow, S. and Schotland, J. Inverse Born Series for the Calderon Problem. Inverse Probl. 28, 035003 (2012)
  62. Markel, V. and Schotland, J. Homogenization of Maxwell's Equations in Periodic Composites. Phys. Rev. E  85, 066603 (2012)
  63. Kilgore, K., Moskow, M. and Schotland, J. Inverse Born Series for Scalar Waves. J. Computational Math. 30, 601-615 (2012)
  64. Ban, H., Busch, D., Moscatelli, F., Machida, M., Schotland, J., Markel, V. and Yodh, A. Diffuse Optical Tomography in the Presence of a Chest Wall. J. Biomed. Optics 18, 026016 (2013)
  65. Bal, G., Naeter, W., Scherzer, O. and Schotland, J. Levenberg-Marquardt Iteration for Numerical Inversion of the Power Density Operator. J. Inverse and Ill-Posed Probl. 21, 265280 (2013)
  66. Moskow, S. and Schotland, J. Hybrid Inverse Problem for Porous Media. Contemporary Math. 615, 255-260 (2014)
  67.  Bal, G. and Schotland, J. Ultrasound-Modulated Bioluminescence Tomography. Phys. Rev. E 89, 031201 [Rapid Communication] (2014)
  68. Markel, V. and Schotland, J. Radiative Transport for Two-Photon Light. Phys. Rev. A. 90, 033815 (2014)
  69.  Zhao, F., Schotland, J. and Markel, V. Inversion of the Star Transform. Inverse Probl. 30, 105001 (2014)
  70.  Caze, A. and Schotland, J. Origins of Radiative Transport Theory: Diagrammatic and Multiscale Approaches. J. Opt. Soc. Am. A 32, 1475-1484 (2015)
  71. Machida, M. and Schotland, J. Inverse Born Series for the Radiative Transport Equation. Inverse Problems 31, 095009 (2015)
  72.  Li, W. and Schotland, J. Optical Theorem in Nonlinear Media. Phys. Rev. A 92, 043824 (2015)
  73. Schotland, J., Caze, A., Norris, T.B. Scattering of Entangled Two-Photon States. Opt. Lett. 41, 444-447 (2016)
  74. Gilbert, A., Hoskins, J. and Schotland, J. Diffuse Scattering on Graphs. Linear Algebra and its Applications 496, 1-35 (2016)
  75. Machida, M., Panasyuk, G., Wang, Z-M, Markel, V. and Schotland, J. Radiative Transport and Optical Tomography with Large Data Sets. J. Opt. Soc. Am. A 33, 551-558 (2016)
  76. Bal, G., Chung, F. and Schotland, J. Ultrasound-Modulated Bioluminescence Tomography and Controllability of the Radiative Transport Equation. SIAM J. Math Analysis 48, 1332- 1347 (2016)
  77. Machida, M., Narimanov, E. and Schotland, J. Polarization Oscillations of Near-Field Thermal Emission. J. Opt. Soc. Am. A 33, 1071-1075 (2016)