• Hayashi, Y., Setoyama, D., Hirose, Y., Yoshida, T. & Kimura, H. Intragranular three-dimensional stress tensor fields in plastically deformed polycrystals. Science 366, 1492–1496 (2019).

    Article 
    ADS 

    Google Scholar
     

  • Dave, A. et al. NeST: neural stress tensor tomography by leveraging 3D photoelasticity. ACM Trans. Graph. 44, 1–18 (2025).

    Article 

    Google Scholar
     

  • Zheng, J. & Archer, L. A. Crystallographically textured electrodes for rechargeable batteries: symmetry, fabrication, and characterization. Chem. Rev. 122, 14440–14470 (2022).

    Article 

    Google Scholar
     

  • Jariwala, S. et al. Local crystal misorientation influences non-radiative recombination in halide perovskites. Joule 3, 3048–3060 (2019).

    Article 

    Google Scholar
     

  • Yun, S. et al. Flexopiezoelectricity at ferroelastic domain walls in WO3 films. Nat. Commun. 11, 4898 (2020).

    Article 
    ADS 

    Google Scholar
     

  • Xue, X. et al. Oriented liquid crystalline polymer semiconductor films with large ordered domains. ACS Appl. Mater. Interfaces 7, 26726–26734 (2015).

    Article 

    Google Scholar
     

  • Warren, B. E. X-Ray Diffraction (Courier Corporation, 1990).

  • Larson, B. C., Yang, W., Ice, G. E., Budai, J. D. & Tischler, J. Z. Three-dimensional X-ray structural microscopy with submicrometre resolution. Nature 415, 887–890 (2002).

    Article 
    ADS 

    Google Scholar
     

  • Oh, S. et al. Taking three-dimensional X-ray diffraction (3DXRD) from the synchrotron to the laboratory scale. Nat. Commun. 16, 3964 (2025).

    Article 
    ADS 

    Google Scholar
     

  • McDonald, S. A. et al. Non-destructive mapping of grain orientations in 3D by laboratory X-ray microscopy. Sci. Rep. 5, 14665 (2015).

    Article 
    ADS 

    Google Scholar
     

  • Zaefferer, S., Wright, S. I. & Raabe, D. Three-dimensional orientation microscopy in a focused ion beam–scanning electron microscope: a new dimension of microstructure characterization. Metall. Mater. Trans. A 39, 374–389 (2008).

    Article 

    Google Scholar
     

  • Schwartz, A. J., Kumar, M., Adams, B. L. & Field, D. P. Electron Backscatter Diffraction in Materials Science Vol. 2 (Springer, 2009).

  • Dingley, D. Progressive steps in the development of electron backscatter diffraction and orientation imaging microscopy. J. Microsc. 213, 214–224 (2004).

    Article 
    MathSciNet 

    Google Scholar
     

  • Humphreys, F. Review grain and subgrain characterisation by electron backscatter diffraction. J. Mater. Sci. 36, 3833–3854 (2001).

    Article 
    ADS 

    Google Scholar
     

  • Williams, D. B. & Carter, C. B. in Transmission Electron Microscopy: A Textbook for Materials Science 3–17 (Springer, 1996).

  • He, C. et al. Polarisation optics for biomedical and clinical applications: a review. Light Sci. Appl. 10, 194 (2021).

    Article 
    ADS 

    Google Scholar
     

  • Kim, G. et al. Holotomography. Nat. Rev. Methods Primer 4, 51 (2024).

    Article 

    Google Scholar
     

  • Jin, D., Zhou, R., Yaqoob, Z. & So, P. T. Tomographic phase microscopy: principles and applications in bioimaging. J. Opt. Soc. Am. B 34, B64–B77 (2017).

    Article 

    Google Scholar
     

  • Balasubramani, V. et al. Roadmap on digital holography-based quantitative phase imaging. J. Imaging 7, 252 (2021).

    Article 

    Google Scholar
     

  • Oldenbourg, R. Polarized light microscopy: principles and practice. Cold Spring Harb. Protoc. 2013, pdb-top078600 (2013).

    Article 

    Google Scholar
     

  • He, H. et al. Mueller matrix polarimetry—an emerging new tool for characterizing the microstructural feature of complex biological specimen. J. Light. Technol. 37, 2534–2548 (2019).

    Article 
    ADS 

    Google Scholar
     

  • Wang, Z., Millet, L. J., Gillette, M. U. & Popescu, G. Jones phase microscopy of transparent and anisotropic samples. Opt. Lett. 33, 1270–1272 (2008).

    Article 
    ADS 

    Google Scholar
     

  • Park, K. et al. Jones matrix microscopy for living eukaryotic cells. ACS Photonics 8, 3042–3050 (2021).

    Article 

    Google Scholar
     

  • Kim, Y., Jeong, J., Jang, J., Kim, M. W. & Park, Y. Polarization holographic microscopy for extracting spatio-temporally resolved Jones matrix. Opt. Express 20, 9948–9955 (2012).


    Google Scholar
     

  • Park, J., Yu, H., Park, J.-H. & Park, Y. LCD panel characterization by measuring full Jones matrix of individual pixels using polarization-sensitive digital holographic microscopy. Opt. Express 22, 24304–24311 (2014).

    Article 
    ADS 

    Google Scholar
     

  • Wahlstrom, E. E. & Fankuchen, I. Optical crystallography. Phys. Today 13, 52–53 (1960).

    Article 
    ADS 

    Google Scholar
     

  • Van Horn, B. L. & Winter, H. H. Conoscopic measurement of birefringence and orientation in biaxially stretched polymer films and sheets. Macromolecules 36, 8513–8521 (2003).

    Article 
    ADS 

    Google Scholar
     

  • Saba, A., Lim, J., Ayoub, A. B., Antoine, E. E. & Psaltis, D. Polarization-sensitive optical diffraction tomography. Optica 8, 402–408 (2021).

    Article 
    ADS 

    Google Scholar
     

  • Yao, G. & Wang, L. V. Two-dimensional depth-resolved Mueller matrix characterization of biological tissue by optical coherence tomography. Opt. Lett. 24, 537–539 (1999).

    Article 
    ADS 

    Google Scholar
     

  • Song, S. et al. Polarization-sensitive intensity diffraction tomography. Light Sci. Appl. 12, 124 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Yamanari, M., Makita, S., Madjarova, V. D., Yatagai, T. & Yasuno, Y. Fiber-based polarization-sensitive Fourier domain optical coherence tomography using B-scan-oriented polarization modulation method. Opt. Express 14, 6502–6515 (2006).

    Article 
    ADS 

    Google Scholar
     

  • Saytashev, I. et al. Self validating Mueller matrix micro–mesoscope (SAMMM) for the characterization of biological media. Opt. Lett. 45, 2168–2171 (2020).

    Article 
    ADS 

    Google Scholar
     

  • van Rooij, J. & Kalkman, J. Polarization contrast optical diffraction tomography. Biomed. Opt. Express 11, 2109–2121 (2020).

    Article 

    Google Scholar
     

  • Yeh, L.-H. et al. Permittivity tensor imaging: modular label-free imaging of 3D dry mass and 3D orientation at high resolution. Nat. Methods 21, 1257–1274 (2024).

    Article 

    Google Scholar
     

  • Shin, S. et al. Tomographic measurement of dielectric tensors at optical frequency. Nat. Mater. 21, 317–324 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Sentenac, A., Maire, G. & Chaumet, P. C. Volume imaging of anisotropic materials. Nat. Mater. 21, 269–271 (2022).

    Article 
    ADS 

    Google Scholar
     

  • Chen, M., Tian, L. & Waller, L. 3D differential phase contrast microscopy. Biomed. Opt. Express 7, 3940–3950 (2016).

    Article 

    Google Scholar
     

  • Jenkins, M. H. & Gaylord, T. K. Three-dimensional quantitative phase imaging via tomographic deconvolution phase microscopy. Appl. Opt. 54, 9213–9227 (2015).

    Article 
    ADS 

    Google Scholar
     

  • Streibl, N. Three-dimensional imaging by a microscope. J. Opt. Soc. Am. A 2, 121–127 (1985).

    Article 
    ADS 

    Google Scholar
     

  • Lee, J. et al. Visualizing 3D anisotropic molecular orientation in polarization holographic optical elements via dielectric tensor tomography. Adv. Opt. Mater. 12, 2302346 (2024).

    Article 

    Google Scholar
     

  • Ghosh, G. Dispersion-equation coefficients for the refractive index and birefringence of calcite and quartz crystals. Opt. Commun. 163, 95–102 (1999).

    Article 
    ADS 

    Google Scholar
     

  • Palache, C., Berman, H. & Frondel, C. Dana’s system of mineralogy. Geol. Fören. Stockh. Förh. 74, 218–219 (1952).

    Article 

    Google Scholar
     

  • Larsen, E. S. The Microscopic Determination of the Nonopaque Minerals (US Government Printing Office, 1921).

  • Murdoch, J. Crystallography of ulexite. Am. Mineral. J. Earth Planet. Mater. 25, 754–762 (1940).


    Google Scholar
     

  • Hugonnet, H., Shin, S. & Park, Y. Regularization of dielectric tensor tomography. Opt. Express 31, 3774–3783 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Lee, M., Shin, S. & Park, Y. Reconstructions of refractive index tomograms via a discrete algebraic reconstruction technique. Opt. Express 25, 27415–27430 (2017).

    Article 
    ADS 

    Google Scholar
     

  • He, C. et al. A reconfigurable arbitrary retarder array as complex structured matter. Nat. Commun. 16, 4902 (2025).

    Article 
    ADS 

    Google Scholar
     

  • Ma, Y. et al. Using optical skyrmions to assess vectorial adaptive optics capabilities in the presence of complex aberrations. Sci. Adv. 11, eadv7904 (2025).

    Article 
    ADS 

    Google Scholar
     

  • Hugonnet, H., Lee, M. & Park, Y. Optimizing illumination in three-dimensional deconvolution microscopy for accurate refractive index tomography. Opt. Express 29, 6293–6301 (2021).

    Article 

    Google Scholar
     

  • Hugonnet, H., Oh, C., Park, J. & Park, Y. Pupil phase series: a fast, accurate, and energy-conserving model for forward and inverse light scattering in thick biological samples. Opt. Express 33, 34255–34266 (2025).

  • Chung, Y., Hugonnet, H., Hong, S.-M. & Park, Y. Fourier space aberration correction for high resolution refractive index imaging using incoherent light. Opt. Express 32, 18790–18799 (2024).

    Article 
    ADS 

    Google Scholar
     

  • Oh, C., Hugonnet, H., Lee, M. & Park, Y. Digital aberration correction for enhanced thick tissue imaging exploiting aberration matrix and tilt-tilt correlation from the optical memory effect. Nat. Commun. 16, 1685 (2025).

    Article 
    ADS 

    Google Scholar
     

  • Zhao, Z. et al. Intensity adaptive optics. Light Sci. Appl. 14, 128 (2025).

    Article 
    ADS 

    Google Scholar
     

  • He, C., Antonello, J. & Booth, M. J. Vectorial adaptive optics. eLight. 3, 23 (2023).

    Article 

    Google Scholar
     

  • Lee, K., Hugonnet, H., Lim, J. H. & Park, Y. Speckle-based X-ray microtomography via preconditioned Wirtinger flow. Light Sci. Appl. 15, 121 (2026).

    Article 

    Google Scholar
     

  • Lee, K., Lim, J. & Park, Y. Full-field quantitative X-ray phase nanotomography via space-domain Kramers–Kronig relations. Optica 10, 407–414 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Chung, Y. et al. Quantitative absorption tomography. Preprint at https://arxiv.org/abs/2601.15925 (2026).

  • Ameh, E. A review of basic crystallography and X-ray diffraction applications. Int. J. Adv. Manuf. Technol. 105, 3289–3302 (2019).

    Article 

    Google Scholar
     

  • Kunz, M. B. et al. Collagen microarchitecture from polarized light imaging: a biomechanics perspective. J. Biomed. Opt. 31, 010902 (2026).

    Article 

    Google Scholar
     

  • Zhang, Y. et al. Skyrmions based on optical anisotropy for topological encoding. Preprint at https://arxiv.org/abs/2508.16483 (2025).

  • Wang, Q. et al. High-capacity optical data storage by ultraviolet femtosecond laser writing in silica glass. Opt. Express 32, 46140–46149 (2024).

    Article 
    ADS 

    Google Scholar
     

  • Dorohoi, D. O. et al. Review on optical methods used to characterize the linear birefringence of polymer materials for various applications. Molecules 28, 2955 (2023).

    Article 

    Google Scholar
     

  • Scafidi, M. et al. Review of photoelastic image analysis applied to structural birefringent materials: glass and polymers. Opt. Eng. 54, 081206 (2015).

    Article 

    Google Scholar
     

  • Park, C., Shin, S. & Park, Y. Generalized quantification of three-dimensional resolution in optical diffraction tomography using the projection of maximal spatial bandwidths. J. Opt. Soc. Am. A 35, 1891–1898 (2018).

    Article 
    ADS 

    Google Scholar
     

  • Born, M. & Wolf, E. Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Elsevier, 2013).

  • Vennes, M., Zentel, R., Rössle, M., Stepputat, M. & Kolb, U. Smectic liquid-crystalline colloids by miniemulsion techniques. Adv. Mater. 17, 2123–2127 (2005).

    Article 

    Google Scholar
     

  • Lee, J.-H., Kamal, T., Roth, S. V., Zhang, P. & Park, S.-Y. Structures and alignment of anisotropic liquid crystal particles in a liquid crystal cell. RSC Adv. 4, 40617–40625 (2014).

    Article 
    ADS 

    Google Scholar
     

  • Cairns, D. R., Sibulkin, M. & Crawford, G. P. Switching dynamics of suspended mesogenic polymer microspheres. Appl. Phys. Lett. 78, 2643–2645 (2001).

    Article 
    ADS 

    Google Scholar
     

  • Kim, K. et al. Optical Fourier volumes: a revisiting of holographic photopolymers and photoaddressable polymers. Adv. Opt. Mater. 10, 2201421 (2022).

    Article 

    Google Scholar