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. [2019a]
    M. Machida,
    Nondestructive inspection of biological tissue by optical tomography,
    Mathematics for Industry Research 12, 191–220, February 2019.
     This article is in the proceedings of the workshop Non-destructive inspection for concrete structures and related topics (IMI, Kyushu University, October 23-26, 2018).

  4. [2017a]  pdf   (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.
    doi: 10.1063/1.4973441

  5. [2016e]  pdf   (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.
    doi: 10.1080/23324309.2016.1239639

  6. [2016d]  pdf  (arXiv:1511.05723)
    M. Machida,
    The radiative transport equation in flatland with separation of variables,
    J. Math. Phys. 57:7, 073301 (16pp), July 2016.
    doi: 10.1063/1.4958976

  7. [2016c]  pdf  (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.
    doi: 10.1364/JOSAA.33.001071

  8. [2016b]  pdf  (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.
    doi: 10.1088/1751-8113/49/17/175001

  9. [2016a]  pdf
    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.
    doi: 10.1364/JOSAA.33.000551
    This paper was selected for the Virtual Journal for Biomedical Optics.

  10. [2015b]  pdf
    M. Machida and J. C. Schotland,
    Inverse Born series for the radiative transport equation,
    Inverse Problems 31:9, 095009 (20pp), September 2015.
    doi: 10.1088/0266-5611/31/9/095009

  11. [2015a]  pdf  (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.
    doi: 10.1088/1751-8113/48/32/325001

  12. [2014b]  pdf  (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.
    doi: 10.1088/0266-5611/30/3/035010

  13. [2014a]  pdf  (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.
    doi: 10.1364/JOSAA.31.000067
    This paper was selected for the Virtual Journal for Biomedical Optics.

  14. [2013a]  pdf
    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.
    doi: 10.1117/1.JBO.18.2.026016

  15. [2012b]  pdf  (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.
    doi: 10.1103/PhysRevB.86.224412

  16. [2012a]  pdf
    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.
    doi: 10.1016/j.physleta.2012.04.019

  17. [2010a]  pdf  (corrigendum pdf)
    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.
    doi: 10.1088/1751-8113/43/6/065402
     Fig. 9 was fixed (corrigendum).

  18. [2009a]  pdf
    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.
    doi: 10.1364/JOSAA.26.001291
    This paper was also selected for the Virtual Journal for Biomedical Optics.

  19. [2008a]  pdf  (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.
    doi: 10.1143/JPSJ.77.024713

  20. [2006b]  pdf  (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.
    doi: 10.1143/JPSJ.77.024713

  21. [2006a]  pdf
    M. Machida, T. Iitaka, and S. Miyashita,
    ESR intensity and anisotropy of the nanoscale molecular magnet V15,
    AIP Conf. Proc. 850:1, 1143–1144, September 2006.
    doi: 10.1063/1.2355107

  22. [2005d]  pdf  (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.
    10.1103/PhysRevE.72.056206

  23. [2005c]  pdf
    M. Machida and S. Miyashita,
    Spectral statistics and the Dzyaloshinsky-Moriya interaction of nanomagnet V15,
    Physica E 29:3-4, 538–540, November 2005.
    doi: 10.1016/j.physe.2005.06.022

  24. [2005b]  pdf  (abstract)
    M. Machida,
    Eigenvalues of nanoscale molecular magnets,
    Bussei Kenkyu 84:3, 390–391, June 2005.

  25. [2005a]  pdf  (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.
    10.1143/JPSJS.74S.107

  26. [2004a]  pdf  (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.
    doi: 10.1103/PhysRevB.70.064401

  27. [2003a]  pdf
    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.
    doi: 10.1143/JPSJS.72SC.109

  28. [2002b]  pdf
    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.
    doi: 10.1143/PTPS.145.290

  29. [2002a]  pdf  (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.
    doi: 10.1143/JPSJ.71.2427

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