Publications (2000-2010)

The copyright of the following papers is held by the publisher.  Redistribution or reprinting for commercial purposes is prohibited.

  1. Carney, S. and Schotland, J. Inverse Scattering for Near-Field Microscopy. App. Phys. Lett. 77, 2798-2800 (2000) pdf
  2. Carney, S., Markel, V. and Schotland, J. Near-Field Tomography without Phase Retrieval. Phys. Rev. Lett. 86, 5874-5877 (2001) pdf
  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) pdf
  4. Carney, S. and Schotland, J. Three-Dimensional Total Internal Reflection Microscopy. Opt. Lett. 26, 1072-1074 (2001) pdf
  5. Schotland, J. and Markel, V. Inverse Scattering with Diffusing Waves. J. Opt. Soc. Am. A 18, 2767-2777 (2001) pdf
  6. Markel, V. and Schotland, J. Inverse Scattering for the Diffusion Equation with General Boundary Conditions. Phys. Rev. E [Rapid Communication] 64, 035601 (2001) pdf
  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) pdf
  8. Markel, V. and Schotland, J. Scanning Paraxial Optical Tomography. Opt. Lett. 27, 1123-1125 (2002) pdf
  9. Markel, V. and Schotland, J. Effects of Sampling and Limited Data in Optical Tomography. App. Phys. Lett. 81, 1180-1182 (2002) pdf
  10. Carney, S. and Schotland, J. Determination of Three-Dimensional Structure in Photon Scanning Tunneling Microscopy. J. Opt. A 4, S140-S144 (2002) pdf
  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) pdf
  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) pdf   
  13. Carney, S. and Schotland, J. Theory of Total Internal Reflection Tomography. J. Opt. Soc. Am. A 20, 542-548 (2003) pdf
  14. Carney, S. and Schotland, J. Near-Field Tomography. MSRI Publications in Mathematics 47, 133-168 (2003) pdf
  15. Markel, V. and Schotland, J. Dual-Projection Optical Tomography. Opt. Lett. 17, 2019-2022 (2004) pdf
  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) pdf
  17. Markel, V. and Schotland, J. Symmetries, Inversion Formulas, and Image Reconstruction for Optical Tomography. Phys. Rev. E 70, 056616  (2004) pdf
  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) pdf
  19. Markel, V. and Schotland, J. Multiple Projection Optical Diffusion Tomography with Plane-Wave Illumination. Phys. Med. Bio. 50, 2351-2364 (2005) pdf
  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) pdf
  21. Zysk, A., Carney, S. and Schotland, J. Eikonal Method for Calculation of Coherence Functions. Phys. Rev. Lett. 95, 043904 (2005) pdf
  22. Panasyuk, G., Markel, V. and Schotland, J. Superresolution and Corrections to the Diffusion Approximation in Optical Tomography. App. Phys. Lett. 87, 101111 (2005) pdf
  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) pdf
  24. Panasyuk, G., Schotland, J. and Markel, V. Radiative Transport Equation in Rotated Reference Frames. J. Phys. A 39, 115-137 (2006) pdf
  25. Kim, A. and Schotland, J. Self-Consistent Scattering Theory for the Radiative Transport Equation. J. Opt. Soc. Am. A 23, 596-603 (2006) pdf
  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) pdf
  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) pdf
  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) pdf
  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) pdf
  30. Fisher, A., Schissler, A. and Schotland, J. Photoacoustic Effect with Multiply-Scattered Light. Phys. Rev. E 76, 036604 (2007) pdf
  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) pdf
  32. Sun, J., Carney, S. and Schotland, J. Strong Tip Effects in Near-Field Optical Tomography. J. App. Phys. 102, 103103 (2007) pdf
  33. Panasyuk, G., Schotland, J. and Markel, V. Classical Theory of Optical Nonlinearity in Conducting Nanoparticles. Phys. Rev. Lett. 100, 047402 (2008) pdf
  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) pdf
  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) pdf
  36. Panasyuk, G., Wang, Z., Schotland, J. and Markel, V. Fluorescence Optical Tomography with Large Data Sets. Opt. Lett. 33, 1744-1746 (2008) pdf
  37. Epstein, C. and Schotland, J. The Bad Truth About Laplace’s Transform. SIAM Review 50, 504–520 (2008) pdf
  38. Schotland, J. Inversion Formulas and Fast Image Reconstruction Algorithms in Optical Tomography. CRM Series 7, 367–387 (2008) pdf
  39. Moskow, S. and Schotland, J. Convergence and Stability of the Inverse Scattering Series for Diffuse Waves. Inverse Problems 24, 065005 (16pp) (2008) pdf
  40. Lukic, V., Markel, V. and Schotland, J. Optical Tomography with Structured Illumination. Opt. Lett. 34, 983-985 (2009) pdf
  41. Florescu, L., Schotland, J. and Markel, V. Single-Scattering Optical Tomography. Phys. Rev. E 79, 036607 (2009) pdf
  42. Machida, M., Panasyuk, G., Markel, V., and Schotland, J. Diffusion Approximation Revisited. J. Opt. Soc. Am A 26, 1291-1301 (2009) pdf
  43. Panasyuk, G., Schotland, J. and Markel, V. Short-Distance Expansion for the Electromagnetic Green’s Tensor. J. Phys. A 42, 275203 (2009) pdf
  44. Moskow, M. and Schotland, J. Numerical Studies of the Inverse Born Series for Diffuse Waves. Inverse Probl. 25, 095007 (18pp) (2009) pdf
  45. Kilgore, K., Moskow, M. and Schotland, J. Inverse Born Series for Diffuse Waves. Contemporary Math. 494, 113-123 (2009) pdf
  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) pdf
  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) pdf
  48. Govydanov, A., Panasyuk, G. and Schotland, J. Phaseless Three-Dimensional Optical Nano-Imaging. Phys. Rev. Lett. 103, 213901 (2009) pdf
  49. Arridge, S. and Schotland, J. Optical Tomography: Forward and Inverse Problems. Inverse Problems 25, 123010 (59pp) (2009) pdf
  50. Markel, V. and Schotland, J. On the Sign of Refraction in Anisotropic Non-Magnetic Media. J. Opt. 12, 015104  (2010) pdf
  51. Florescu, L., Markel, V. and Schotland, J. Single-Scattering Optical Tomography: Simultaneous Reconstruction of Absorption and Scattering. Phys. Rev. E 81, 016602 (2010) pdf
  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) pdf
  53. Bal, G. and Schotland, J. Inverse Scattering and Acousto-Optic Imaging. Phys. Rev. Lett. 104, 043902 (2010) pdf
  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) pdf
  55. Schotland, J. Quantum Imaging and Inverse Scattering. Opt. Lett. 35, 3309-3311 (2010) pdf
  56.  Florescu, L., Markel, V and Schotland, J. Inversion Formulas for the Broken-Ray Radon Transform. Inverse Probl. 27, 025002 (2011) pdf
  57. Schotland, J. Path Integrals and Optical Tomography. Contemporary Math. 548, 77-84 (2011) pdf
  58. Schotland, J. Direct Reconstruction Methods in Optical Tomography. Lecture Notes in Mathematics 2035, 1-30 (2011) pdf
  59. Panasyuk, G., Schotland, J. and Markel, V. Quantum Theory of the Electric Polarization Nonlinearity in Metal Nanofilms. Phys. Rev. B 84, 155460 (2011) pdf
  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) pdf
  61. Arridge, S., Moskow, S. and Schotland, J. Inverse Born Series for the Calderon Problem. Inverse Probl. 28, 035003 (2012) pdf
  62. Markel, V. and Schotland, J. Homogenization of Maxwell's Equations in Periodic Composites. Phys. Rev. E  85, 066603 (2012) pdf
  63. Kilgore, K., Moskow, M. and Schotland, J. Inverse Born Series for Scalar Waves. J. Computational Math. 30, 601-615 (2012) pdf