Publications

  1. [2025a]
    V. A. Markel, M. Machida, and J. C. Schotland,
    Collision expansion for the radiative transport equation: analytical results and numerical simulations,
    Journal of Quantitative Spectroscopy and Radiative Transfer 333, 109311, March 2025.
    doi: 10.1016/j.jqsrt.2024.109311

  2. [2024d]  pdf   (arXiv:2208.07718)
    M. Machida, K. Osada, and K. Kagawa,
    Diffuse optical tomography with the impulse stripe illumination and the depth of the banana,
    Journal of Modern Optics 71:4-6, 135–149, October 2024.
    doi: 10.1080/0950 0340.2024.2400193

  3. [2024c]   (arXiv:2405.09447)
    M. Machida,
    Rotated reference frames in radiative transport theory,
    Progress in Optics 69, 1–78, April 25, 2024.
    doi: 10.1016/bs.po.2023.06.001

  4. [2024b]
    N. Yoneyama, S. Nakazawa, K. Iyanagi, Y. Tanihata, R. Mori, M. Machida, G. T. Kennedy, A. J. Durkin, and K. Kagawa,
    Simultaneous imaging of shallow and deep tissues based on multi-line scanning,
    Proc. SPIE 12816, Photonics in Dermatology and Plastic Surgery 2024, 1281608, March 2024.
    doi: 10.1117/12.3000865

  5. [2024a]   (arXiv:2303.05220)
    L. Xu, C. Zhang, S. Oyama, M. Machida, T. Kahyo, and M. Setou,
    Coarse-graining of the perplexity for the spatial distribution of molecules,
    Physical Review E 109:1, 014402, January 2024.
    doi: 10.1103/PhysRevE.109.014402

  6. [2023e]
    M. Machida,
    Radiative Transport Equation in Optical Tomography,
    in: T. Takiguchi, T. Ohe, J. Cheng, and C. Hua (eds) Practical Inverse Problems and Their Prospects, PIPTP 2022. Mathematics for Industry, vol 37. Springer, Singapore. pp 69–80, September 2023.
    doi: 10.1007/978-981-99-2408-0_5

  7. [2023d]  pdf   (arXiv:2201.08651)
    M. Machida,
    The inverse Rytov series for diffuse optical tomography,
    Inverse Problems 39:10, 105012, September 2023.
    doi: 10.1088/1361-6420/acf51b

  8. [2023c]  link   (arXiv:2303.01798)
    A. Kawamoto, M. Machida, and M. Yamamoto,
    Homogenization and inverse problems for fractional diffusion equations,
    Fractional Calculus and Applied Analysis 26:5, 2118–2165, August 2023.
    doi: 10.1007/s13540-023-00195-8

  9. [2023b]   (arXiv:1907.00719)
    J. Eom, M. Machida, G. Nakamura, G. Nishimura, and C. Sun,
    Expressions of the peak time for time-domain boundary measurements of diffuse light,
    Journal of Mathematical Physics 64, 083504, August 2023.
    doi: 10.1063/5.0081169

  10. [2023a]
    L. Xu, K. Kikushima, S. Sato, A. Islam, T. Sato, S. Aramaki, C. Zhang, T. Sakamoto, F. Eto, Y. Takahashi, I. Yao, M. Machida, T. Kahyo, and M. Setou,
    Spatial distribution of the Shannon entropy for mass spectrometry imaging,
    PLoS ONE 18:4, e0283966, April 2023.
    doi: 10.1371/journal.pone.0283966

  11. [2022b]
    H. Yamada, L. Xu, F. Eto, R. Takeichi, A. Islam, M. A. Mamun, C. Zhang, I. Yao, T. Sakamoto, S. Aramaki, K. Kikushima, T. Sato, Y. Takahashi, M. Machida, T. Kahyo, and M. Setou,
    Changes of Mass Spectra Patterns on a Brain Tissue Section Revealed by Deep Learning with Imaging Mass Spectrometry Data,
    Journal of the American Society for Mass Spectrometry 33:9, 1607–1614, September 2022.
    doi: 10.1021/jasms.2c00080
    (press release [Japanese])

  12. [2022a]
    J. J. Liu, M. Machida, G. Nakamura, G. Nishimura, and C. L. Sun,
    On fluorescence imaging: diffusion equation model and recovery of absorption coefficient of fluorophores,
    Science China Mathematics 65:6, 1179–1198, June 2022.
    doi: 10.1007/s11425-020-1731-y

  13. [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

  14. [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.

  15. [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

  16. [2021c]   (arXiv:1304.5207)
    M. Machida,
    Chandrasekhar polynomials - A brief review,
    RIMS Kokyuroku 2174, 88–92, February 2021.
    repository

  17. [2021b]  pdf
    A. Capart, S. Ikegaya, E. Okada, M. Machida, and Y. Hoshi,
    Experimental tests of indicators for the degree of validness of the diffusion approximation,
    Journal of Physics Communications 5:2, 025012 (17pp), February 2021.
    doi: 10.1088/2399-6528/abe4e1

  18. [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

  19. [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

  20. [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

  21. [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

  22. [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, January 2020.
    doi: 10.1364/JOSAA.37.000231

  23. [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

  24. [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.

  25. [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

  26. [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

  27. [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

  28. [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).

  29. [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

  30. [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

  31. [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

  32. [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

  33. [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

  34. [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, March 2016.
    doi: 10.1364/JOSAA.33.000551
     This paper was selected for the Virtual Journal for Biomedical Optics.

  35. [2015b]  pdf
    M. Machida and J. C. Schotland,
    Inverse Born series for the radiative transport equation,
    Inverse Problems 31:9, 095009 (20pp), August 2015.
    doi: 10.1088/0266-5611/31/9/095009

  36. [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), July 2015.
    doi: 10.1088/1751-8113/48/32/325001

  37. [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), February 2014.
    doi: 10.1088/0266-5611/30/3/035010

  38. [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.

  39. [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

  40. [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

  41. [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

  42. [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).

  43. [2009b]
    M. Machida, T. Iitaka, and 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

  44. [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.

  45. [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

  46. [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.75.063704

  47. [2006a]  pdf
    M. Machida, T. Iitaka, and S. Miyashita,
    ESR intensity and anisotropy of the nanoscale molecular magnet V15,
    AIP Conference Proceedings 850:1, 1143–1144, September 2006.
    doi: 10.1063/1.2355107

  48. [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

  49. [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

  50. [2005b]  pdf  (abstract)
    M. Machida,
    Eigenvalues of nanoscale molecular magnets,
    Bussei Kenkyu 84:3, 390–391, June 2005.

  51. [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

  52. [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

  53. [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

  54. [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

  55. [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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