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. [2020c]  pdf   (arXiv:1608.07914)
    A. Kawamoto and M. Machida,
    Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates,
    Applicable Analysis, 2020.
    doi: 10.1080/00036811.2019.1620931

  4. [2019b]  pdf   (arXiv:1507.07259)
    M. Machida,
    Numerical algorithms of the radiative transport equation using rotated reference frames for optical tomography with structured illumination,
    Journal of Quantitative Spectroscopy and Radiative Transfer 234, 124–138, 2019.
    doi: 10.1016/j.jqsrt.2019.06.009

  5. [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).

  6. [2017a]  pdf   (arXiv:1602.05382)
    M. Machida,
    The time-fractional radiative transport equation — Continuous-time random walk, diffusion approximation, and Legendre-polynomial expansion,
    Journal of Mathematical Physics 58:1, 013301 (12pp), January 2017.
    doi: 10.1063/1.4973441

  7. [2016e]  pdf   (arXiv:1510.08731)
    M. Machida,
    How to construct three-dimensional transport theory using rotated reference frames,
    Journal of Computational and Theoretical Transport 45:7, 594–609, November 2016.
    doi: 10.1080/23324309.2016.1239639

  8. [2016d]  pdf  (arXiv:1511.05723)
    M. Machida,
    The radiative transport equation in flatland with separation of variables,
    Journal of Mathematical Physics 57:7, 073301 (16pp), July 2016.
    doi: 10.1063/1.4958976

  9. [2016c]  pdf  (arXiv:1506.00707)
    M. Machida, E. Narimanov, and J. C. Schotland,
    Polarization oscillations of near-field thermal emission,
    Journal of the Optical Society of America A 33:6, 1071–1075, June 2016.
    doi: 10.1364/JOSAA.33.001071

  10. [2016b]  pdf  (arXiv:1510.00828)
    M. Machida,
    The Green's function for the three-dimensional linear Boltzmann equation via Fourier transform,
    Journal of Physics A: Mathematical and Theoretical 49:17, 175001 (16pp), April 2016.
    doi: 10.1088/1751-8113/49/17/175001

  11. [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,
    Journal of the Optical Society of America A 33:4, 551–558, April 2016.
    doi: 10.1364/JOSAA.33.000551
    This paper was selected for the Virtual Journal for Biomedical Optics.

  12. [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

  13. [2015a]  pdf  (arXiv:1412.8252)
    M. Machida,
    An FN method for the radiative transport equation in three dimensions,
    Journal of Physics A: Mathematical and Theoretical 48:32, 325001 (27pp), August 2015.
    doi: 10.1088/1751-8113/48/32/325001

  14. [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

  15. [2014a]  pdf  (arXiv:1304.1941)
    M. Machida,
    Singular eigenfunctions for the three-dimensional radiative transport equation,
    Journal of the Optical Society of America A 31:1, 67–74, January 2014.
    doi: 10.1364/JOSAA.31.000067
    This paper was selected for the Virtual Journal for Biomedical Optics.

  16. [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,
    Journal of Biomedical Optics 18:2, 026016 (11pp), February 2013.
    doi: 10.1117/1.JBO.18.2.026016

  17. [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,
    Physical Review B 86:22, 224412 (8pp), December 2012.
    doi: 10.1103/PhysRevB.86.224412

  18. [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

  19. [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,
    Journal of Physics A: Mathematical and Theoretical 43:6, 065402 (17pp), February 2010.
    doi: 10.1088/1751-8113/43/6/065402
     Fig. 9 was fixed (corrigendum).

  20. [2009a]  pdf
    M. Machida, G. Yu. Panasyuk, J. C. Schotland, and V. A. Markel,
    Diffusion approximation revisited,
    Journal of the Optical Society of America 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.

  21. [2008a]  pdf  (cond-mat/0712.1387)
    M. Machida, J. Goryo, and N. Hatano,
    Transient oscillation of currents in quantum Hall effect of Bloch electrons,
    Journal of the Physical Society of Japan 77:2, 024713 (8pp), February 2008.
    doi: 10.1143/JPSJ.77.024713

  22. [2006b]  pdf  (cond-mat/0604072)
    M. Machida, N. Hatano, and J. Goryo,
    Temporal oscillation of conductances in quantum Hall effect of Bloch electrons,
    Journal of the Physical Society of Japan 75:6, 063704 (4pp), June 2006.
    doi: 10.1143/JPSJ.77.024713

  23. [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

  24. [2005d]  pdf  (nlin/0501439)
    M. Machida and K. Saito,
    Distribution of the spacing between two adjacent avoided crossings,
    Physical Review E 72:5, 056206 (5pp), November 2005.
    10.1103/PhysRevE.72.056206

  25. [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

  26. [2005b]  pdf  (abstract)
    M. Machida,
    Eigenvalues of nanoscale molecular magnets,
    Bussei Kenkyu 84:3, 390–391, June 2005.

  27. [2005a]  pdf  (cond-mat/0501439)
    M. Machida, T. Iitaka, and S. Miyashita,
    Temperature dependence of ESR intensity for the nanoscale molecular magnet V15,
    Journal of the Physical Society of Japan 74 Suppl. 107–110, January 2005.
    10.1143/JPSJS.74S.107

  28. [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,
    Physical Review B 70:6, 064401 (12pp), August 2004.
    doi: 10.1103/PhysRevB.70.064401

  29. [2003a]  pdf
    M. Machida, K. Saito, and S. Miyashita,
    Frequency dependence of quantum localization in a periodically driven system (maximum energy fluctuation),
    Journal of the Physical Society of Japan 72 Suppl. C 109–110, January 2003.
    doi: 10.1143/JPSJS.72SC.109

  30. [2002b]  pdf
    M. Machida, K. Saito, and S. Miyashita,
    Frequency dependence of quantum localization in a periodically driven system (minimum Floquet states),
    Progress of Theoretical Physics Supplements 145, 290–293, February 2002.
    doi: 10.1143/PTPS.145.290

  31. [2002a]  pdf  (nlin/0207038)
    M. Machida, K. Saito, and S. Miyashita,
    Frequency dependence of quantum localization in a periodically driven system,
    Journal of the Physical Society of Japan 71:10, 2427–2433, October 2002.
    doi: 10.1143/JPSJ.71.2427

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