Publications

  1. "Fast inversion algorithm by topological reduction of the inverse Born series",
    in preparation.
  2. M. Machida and S. Miyashita,
    "Diffusion of a random-matrix model with an oscillating parameter"
    submitted.

  3. [2017a]  pdf (abstract)   (arXiv:1602.05382)
    M. Machida,
    The time-fractional radiative transport equation — Continuous-time random walk, diffusion approximation, and Legendre-polynomial expansion,
    J. Math. Phys. 58:1, 013301 (12pp), January 2017.

  4. [2016e]  pdf (abstract)   (arXiv:1510.08731)
    M. Machida,
    How to construct three-dimensional transport theory using rotated reference frames,
    J. Comp. Theor. Trans. 45:7, 594–609, November 2016.

  5. [2016d]  pdf (abstract)  (arXiv:1511.05723)
    M. Machida,
    The radiative transport equation in flatland with separation of variables,
    J. Math. Phys. 57:7, 073301 (16pp), July 2016.

  6. [2016c]  pdf (abstract)  (arXiv:1506.00707)
    M. Machida, E. Narimanov, and J. C. Schotland,
    Polarization oscillations of near-field thermal emission,
    J. Opt. Soc. Am. A 33:6, 1071–1075, June 2016.

  7. [2016b]  pdf  (abstract)  (arXiv:1510.00828)
    M. Machida,
    The Green's function for the three-dimensional linear Boltzmann equation via Fourier transform,
    J. Phys. A: Math. Theor. 49:17, 175001 (16pp), April 2016.

  8. [2016a]  pdf  (abstract)
    M. Machida, G. Y. Panasyuk, Z.-M. Wang, V. A. Markel, and J. C. Schotland,
    Radiative transport and optical tomography with large datasets,
    J. Opt. Soc. Am. A 33:4, 551–558, April 2016.
    This paper was selected for the Virtual Journal for Biomedical Optics.

  9. [2015b]  pdf  (abstract)
    M. Machida and J. C. Schotland,
    Inverse Born series for the radiative transport equation,
    Inverse Problems 31:9, 095009 (20pp), September 2015.

  10. [2015a]  pdf  (abstract)  (arXiv:1412.8252)
    M. Machida,
    An FN method for the radiative transport equation in three dimensions,
    J. Phys. A: Math. Theor. 48:32, 325001 (27pp), August 2015.

  11. [2014b]  pdf  (abstract)  (arXiv:1212.6730)
    M. Machida and M. Yamamoto,
    Global Lipschitz stability in determining coefficients of the radiative transport equation,
    Inverse Problems 30:3, 035010 (16pp), March 2014.

  12. [2014a]  pdf  (abstract)  (arXiv:1304.1941)
    M. Machida,
    Singular eigenfunctions for the three-dimensional radiative transport equation,
    J. Opt. Soc. Am. A 31:1, 67–74, January 2014.
    This paper was selected for the Virtual Journal for Biomedical Optics.

  13. [2013a]  pdf  (abstract)
    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,
    J. Biomed. Opt. 18:2, 026016 (11pp), February 2013.

  14. [2012b]  pdf  (abstract)  (arXiv:1212.0910)
    M. Machida, T. Iitaka, and S. Miyashita,
    ESR intensity and the Dzyaloshinsky-Moriya interaction of the nanoscale molecular magnet V15,
    Phys. Rev. B 86:22, 224412 (8pp), December 2012.

  15. [2012a]  pdf  (abstract)
    M. Machida and S. Miyashita,
    Survival probability and saturation energy in periodically driven quantum chaotic systems,
    Physics Letters A 376:22, 1777–1780, April 2012.

  16. [2010a]  pdf  (corrigendum pdf)  (abstract)
    M. Machida, G. Y. Panasyuk, J. C. Schotland, and V. A. Markel,
    The Green's function for the radiative transport equation in the slab geometry,
    J. Phys. A: Math. Theor. 43:6, 065402 (17pp), February 2010.
     Fig. 9 was fixed (corrigendum).

  17. [2009a]  pdf  (abstract)
    M. Machida, G. Yu. Panasyuk, J. C. Schotland, and V. A. Markel,
    Diffusion approximation revisited,
    J. Opt. Soc. Am. A 26:5, 1291–1300, May 2009.
    This paper was also selected for the Virtual Journal for Biomedical Optics.

  18. [2008a]  pdf  (abstract)  (cond-mat/0712.1387)
    M. Machida, J. Goryo, and N. Hatano,
    Transient oscillation of currents in quantum Hall effect of Bloch electrons,
    J. Phys. Soc. Jpn. 77:2, 024713 (8pp), February 2008.

  19. [2006b]  pdf  (abstract)  (cond-mat/0604072)
    M. Machida, N. Hatano, and J. Goryo,
    Temporal oscillation of conductances in quantum Hall effect of Bloch electrons,
    J. Phys. Soc. Jpn. 75:6, 063704 (4pp), June 2006.

  20. [2006a]  pdf  (abstract)
    M. Machida, T. Iitaka, and S. Miyashita,
    ESR intensity and anisotropy of the nanoscale molecular magnet V15,
    AIP Conf. Proc. 850, 1143–1144, September 2006.

  21. [2005d]  pdf  (abstract)  (nlin/0501439)
    M. Machida and K. Saito,
    Distribution of the spacing between two adjacent avoided crossings,
    Phys. Rev. E 72:5, 056206 (5pp), November 2005.

  22. [2005c]  pdf  (abstract)
    M. Machida and S. Miyashita,
    Spectral statistics and the Dzyaloshinsky-Moriya interaction of nanomagnet V15,
    Physica E 29:3-4, 538–540, November 2005.

  23. [2005b]  pdf  (abstract)
    M. Machida,
    Eigenvalues of nanoscale molecular magnets,
    Bussei Kenkyu 84:3, 390–391, June 2005.

  24. [2005a]  pdf  (abstract)  (cond-mat/0501439)
    M. Machida, T. Iitaka, and S. Miyashita,
    Temperature dependence of ESR intensity for the nanoscale molecular magnet V15,
    J. Phys. Soc. Jpn. 74 Suppl. 107–110, January 2005.

  25. [2004a]  pdf  (abstract)  (cond-mat/0312581)
    H. De Raedt, S. Miyashita, K. Michielsen, and M. Machida,
    Dzyaloshinskii-Moriya interactions and adiabatic magnetization dynamics in molecular magnets,
    Phys. Rev. B 70:6, 064401 (12pp), August 2004.

  26. [2003a]  pdf  (abstract)
    M. Machida, K. Saito, and S. Miyashita,
    Frequency dependence of quantum localization in a periodically driven system (maximum energy fluctuation),
    J. Phys. Soc. Jpn. 72 Suppl. C 109–110, January 2003.

  27. [2002b]  pdf  (abstract)
    M. Machida, K. Saito, and S. Miyashita,
    Frequency dependence of quantum localization in a periodically driven system (minimum Floquet states),
    Prog. Theor. Phys. Suppl. 145, 290–293, February 2002.

  28. [2002a]  pdf  (abstract)  (nlin/0207038)
    M. Machida, K. Saito, and S. Miyashita,
    Frequency dependence of quantum localization in a periodically driven system,
    J. Phys. Soc. Jpn. 71:10, 2427–2433, October 2002.

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