Publications

  1. [2021f]  pdf   (arXiv:2005.11946)
    K. Amagai, Y. Hatano, and M. Machida,
    Linear transport in porous media,
    Journal of Computational and Theoretical Transport 50:5, 377–389, 2021.
    doi: 10.1080/23324309.2020.1842453

  2. [2021e]  pdf   (arXiv:1912.11375)
    Y. Jiang, M. Machida, and N. Todoroki,
    Diffuse optical tomography by simulated annealing via a spin Hamiltonian,
    Journal of the Optical Society of America A 38:7, 1032–1040, June 2021.
    doi: 10.1364/JOSAA.421219
    This paper was selected as an Editor's Pick.

  3. [2021d]
    K. Takada, K. Osada, M. Machida, Y. Hoshi, K. Yasutomi, S. Kawahito, and K. Kagawa,
    Spatio-temporal frequency domain imaging using time-resolving CMOS image sensor and stripe pattern projection,
    Proc. SPIE 11639, Optical Tomography and Spectroscopy of Tissue XIV, 116391C, March 2021.
    doi: 10.1117/12.2577981

  4. [2021c]   (arXiv:1304.5207)
    M. Machida,
    Chandrasekhar polynomials - A brief review,
    RIMS Kokyuroku 2174 88–92, February 2021.
    repository

  5. [2021b]  pdf
    A. Capart, S. Ikegaya, E. Okada, M. Machida, Y. Hoshi,
    Experimental tests of indicators for the degree of validness of the diffusion approximation,
    Journal of Physics Communications 5:2, 025012, February 2021.
    doi: 10.1088/2399-6528/abe4e1

  6. [2021a]  pdf   (arXiv:1608.07914)
    A. Kawamoto and M. Machida,
    Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates,
    Applicable Analysis 100:4, 752–771, February 2021.
    doi: 10.1080/00036811.2019.1620931

  7. [2020e]  pdf   (arXiv:2005.09937)
    M. Machida, Y. Hoshi, K. Kagawa, and K. Takada
    Decay behavior and optical parameter identification for spatial-frequency domain imaging by the radiative transport equation,
    Journal of the Optical Society of America A 37:12, 2020–2031, November 2020.
    doi: 10.1364/JOSAA.402124

  8. [2020d]  pdf   (arXiv:1908.00726)
    K. Amagai, M. Yamakawa, M. Machida, and Y. Hatano,
    The linear Boltzmann equation in column experiments of porous media,
    Transport in Porous Media 132:2, 311–331, March 2020.
    doi: 10.1007/s11242-020-01393-1

  9. [2020c]  pdf   (arXiv:1811.06223)
    A. Kawamoto and M. Machida,
    Lipschitz stability in inverse source and inverse coefficient problems for a first- and half-order time-fractional diffusion equation,
    SIAM Journal on Mathematical Analysis 52:1, 967–1005, February 2020.
    doi: 10.1137/18M1235776

  10. [2020b]  pdf   (arXiv:1903.01281)
    C. Sun, G. Nakamura, G. Nishimura, Y. Jiang, J. Liu, and M. Machida,
    Fast and robust reconstruction algorithm for fluorescence diffuse optical tomography assuming a cuboid target,
    Journal of the Optical Society of America A 37:2, 231–239, February 2020.
    doi: 10.1364/JOSAA.37.000231

  11. [2020a]  pdf   (arXiv:1706.04500)
    M. Machida and G. Nakamura,
    Born series for the photon diffusion equation perturbing the Robin boundary condition,
    Journal of Mathematical Physics 61:1, 013502 (17pp), January 2020.
    doi: 10.1063/1.5095179

  12. [2019e]  pdf   (arXiv:1802.00638)
    Y. Jiang, Y. Hoshi, M. Machida, and G. Nakamura,
    A hybrid inversion scheme combining Markov chain Monte Carlo and iterative methods for determining optical properties of random media,
    Applied Sciences 9:17, 3500 (17pp), August 2019.
    doi: 10.3390/app9173500
    This paper was selected as a feature paper.

  13. [2019d]
    M. Machida,
    Spatial-frequency-domain optical tomography in the radiative transport regime,
    Proc. SPIE 11074, Diffuse Optical Spectroscopy and Imaging VII, 1107421, July 2019.
    doi: 10.1117/12.2522662

  14. [2019c]
    S. Okawa, T. Mimura, H. Fujii, H. Kawaguchi, Y. Tanikawa, M. Machida, E. Okada, and Y. Hoshi,
    Time-domain diffuse optical tomography with lp sparsity regularization for thyroid cancer imaging,
    Proc. SPIE 11074, Diffuse Optical Spectroscopy and Imaging VII, 1107407, July 2019.
    doi: 10.1117/12.2526886

  15. [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, September 2019.
    doi: 10.1016/j.jqsrt.2019.06.009

  16. [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).

  17. [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

  18. [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

  19. [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

  20. [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

  21. [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

  22. [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.

  23. [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

  24. [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

  25. [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

  26. [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.

  27. [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

  28. [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

  29. [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

  30. [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).

  31. [2009b]
    M. Machida, T. Iitaka, S. Miyashita,
    Simulational study on the linear response for huge Hamiltonians: Temperature dependence of the ESR of a nanomagnet,
    In: D.P. Landau, S.P. Lewis, H.-B. Schüttler (eds) Computer Simulation Studies in Condensed-Matter Physics XIX. Springer Proceedings in Physics 123, 101–105, Springer, Berlin, Heidelberg, 2009.
    doi: 10.1007/978-3-540-85625-2_16

  32. [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.

  33. [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

  34. [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

  35. [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

  36. [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

  37. [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

  38. [2005b]  pdf  (abstract)
    M. Machida,
    Eigenvalues of nanoscale molecular magnets,
    Bussei Kenkyu 84:3, 390–391, June 2005.

  39. [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

  40. [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

  41. [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

  42. [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

  43. [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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