Data availability
All data are available in the main text or the Supplementary Information. Source data are provided with this paper.
References
Wegst, U. G. K., Bai, H., Saiz, E., Tomsia, A. P. & Ritchie, R. O. Bioinspired structural materials. Nat. Mater. 14, 23–36 (2015).
Article CAS PubMed Google Scholar
Thomas, N. L. & Windle, A. H. A theory of case II diffusion. Polymer 23, 529–542 (1982).
Article ADS CAS Google Scholar
Luo, C. et al. Review of recent advances in inorganic photoresists. RSC Adv. 10, 8385–8395 (2020).
Article ADS CAS PubMed PubMed Central Google Scholar
Cen, J., Deng, Z. & Liu, S. Emerging trends in the chemistry of polymeric resists for extreme ultraviolet lithography. Polym. Chem. 15, 4599–4614 (2024).
Article CAS Google Scholar
Huang, Z. & Wang, H. A review on photochemical effects of common plastics and their related applications. J. Polym. Sci. 62, 969–997 (2024).
Article CAS Google Scholar
Vera, M. U., Saint-Jalmes, A. & Durian, D. J. Scattering optics of foam. Appl. Opt. 40, 4210–4214 (2001).
Article ADS CAS PubMed Google Scholar
Berkelaar, R. P. et al. Water-induced blister formation in a thin film polymer. Langmuir 31, 1017–1025 (2015).
Article CAS PubMed Google Scholar
Wilts, B. D. et al. Evolutionary-optimized photonic network structure in white beetle wing scales. Adv. Mater. 30, e1702057 (2018).
Article PubMed Google Scholar
Haataja, J. S., Jacucci, G., Parton, T. G., Schertel, L. & Vignolini, S. Topological invariance in whiteness optimisation. Commun. Phys. 6, 137 (2023).
Article PubMed PubMed Central Google Scholar
Burresi, M. et al. Bright-white beetle scales optimise multiple scattering of light. Sci Rep. 4, 6075 (2014).
Article ADS CAS PubMed PubMed Central Google Scholar
Wiersma, D. S. Disordered photonics. Nat. Photon. 7, 188–196 (2013).
Article ADS CAS Google Scholar
Miranda-Muñoz, J. M., Lozano, G. & Míguez, H. Design and realization of a novel optically disordered material: a demonstration of a Mie glass. Adv. Opt. Mater. 5, 1700025 (2017).
Article Google Scholar
Gibson, I. J. & Ashby, M. F. The mechanics of three-dimensional cellular materials. Proc. R. Soc. Lond. A Math. Phys. Sci. 382, 43–59 (1982).
ADS CAS Google Scholar
Wang, J., Nguyen, A. V. & Farrokhpay, S. A critical review of the growth, drainage and collapse of foams. Adv. Colloid Interface Sci. 228, 55–70 (2016).
Article ADS CAS PubMed Google Scholar
Yanagisawa, N., Tani, M. & Kurita, R. Dynamics and mechanism of liquid film collapse in a foam. Soft Matter 17, 1738–1745 (2021).
Article ADS CAS PubMed Google Scholar
Rio, E. & Biance, A.-L. Thermodynamic and mechanical timescales involved in foam film rupture and liquid foam coalescence. ChemPhysChem 15, 3692–3707 (2014).
Article CAS PubMed Google Scholar
Larson, R. G. The Structure and Rheology of Complex Fluids (Oxford Univ. Press, 1998).
Mita, I., Hisano, T., Horie, K. & Okamoto, A. Photoinitiated thermal degradation of polymers. I. Elementary processes of degradation of polystyrene. Macromolecules 21, 3003–3010 (1988).
Article ADS CAS Google Scholar
Knudsen, D., Harnish, B., Toth, R. & Yan, M. Creating microstructures on silicon wafers using UV-crosslinked polystyrene thin films. Polym. Eng. Sci. 49, 948–948 (2009).
Article Google Scholar
Kuyyakanont, A. & Iwata, M. Study of different degradation effects in UV-sensitive polymers using xenon lamp and deuterium lamp to simulate UV irradiation in space environment. Nucl. Instrum. Methods Phys. Res. B 549, 165267 (2024).
Article CAS Google Scholar
Decker, C. Photoinitiated crosslinking polymerisation. Prog. Polym. Sci. 21, 593–650 (1996).
Article CAS Google Scholar
Ye, Y. & Choi, K. Y. Preparation of micron-sized spherulitic bisphenol A polycarbonate particles in thin films. Macromol. Mater. Eng. 294, 847–854 (2009).
Article CAS Google Scholar
Yilbas, B. S. et al. Wetting and other physical characteristics of polycarbonate surface textured using laser ablation. Appl. Surf. Sci. 320, 21–29 (2014).
Article ADS CAS Google Scholar
Wang, S. & Jiang, L. Definition of superhydrophobic states. Adv. Mater. 19, 3423–3424 (2007).
Article CAS Google Scholar
Reuvers, A. J. & Smolders, C. A. Formation of membranes by means of immersion precipitation. J. Membr. Sci. 34, 67–86 (1987).
Article CAS Google Scholar
Bohr, S. J. et al. State-of-the-art review of porous polymer membrane formation characterization—How numerical and experimental approaches dovetail to drive innovation. Front. Sustain. 4, 1093911 https://doi.org/10.3389/frsus.2023.1093911 (2023).
Tang, Y. et al. A review on models and simulations of membrane formation via phase inversion processes. J. Membr. Sci. 640, 119810 (2021).
Article CAS Google Scholar
Wang, D.-M. & Lai, J.-Y. Recent advances in preparation and morphology control of polymeric membranes formed by nonsolvent induced phase separation. Curr. Opin. Chem. Eng. 2, 229–237 (2013).
Article Google Scholar
Tsay, C. S. & McHugh, A. J. Mass transfer modeling of asymmetric membrane formation by phase inversion. J. Polym. Sci. B Polym. Phys. 28, 1327–1365 (1990).
Article ADS CAS Google Scholar
Matsuyama, H., Nakagawa, K., Maki, T. & Teramoto, M. Studies on phase separation rate in porous polyimide membrane formation by immersion precipitation. J. Appl. Polym. Sci. 90, 292–296 (2003).
Article CAS Google Scholar
Garcia, J. U. et al. Mechanisms of asymmetric membrane formation in nonsolvent-induced phase separation. ACS Macro Lett. 9, 1617–1624 (2020).
Article CAS PubMed Google Scholar
Garcia, J. U. et al. Coarsening dynamics of ternary polymer solutions with mobility and viscosity contrasts. J. Chem. Phys. 159, 214904 (2023).
Article ADS CAS PubMed Google Scholar
Li, Y., Fu, Z.-Y. & Su, B.-L. Hierarchically structured porous materials for energy conversion and storage. Adv. Funct. Mater. 22, 4634–4667 (2012).
Article CAS Google Scholar
Lee, J. et al. Biomimetic reconstruction of butterfly wing scale nanostructures for radiative cooling and structural coloration. Nanoscale Horiz. 7, 1054–1064 (2022).
Article ADS CAS PubMed Google Scholar
Zhang, J. et al. Hierarchically porous ZnO architectures for gas sensor application. Cryst. Growth Des. 9, 3532–3537 (2009).
Article CAS Google Scholar
Yu, S., Chen, J., Gomard, G., Hölscher, H. & Lemmer, U. Recent progress in light-scattering porous polymers and their applications. Adv. Opt. Mater. 11, 2203134 (2023).
Article CAS Google Scholar
Burg, S. L. & Parnell, A. J. Self-assembling structural colour in nature. J. Phys. Condens. Matter 30, 413001 (2018).
Article PubMed Google Scholar
Zhao, X., Xiong, Y., Wang, W., Zhang, W. & Zhang, D. Achieving structural white inspired by quasiordered microstructures in Morpho theseus. NPG Asia Mater. 15, 20 (2023).
Article ADS Google Scholar
Jacucci, G., Schertel, L., Zhang, Y., Yang, H. & Vignolini, S. Light management with natural materials: from whiteness to transparency. Adv. Mater. 33, e2001215 (2021).
Article PubMed Google Scholar
Vukusic, P., Hallam, B. & Noyes, J. Brilliant whiteness in ultrathin beetle scales. Science 315, 348 https://doi.org/10.1126/science.1134666 (2007).
Article ADS CAS PubMed Google Scholar
Burg, S. L. et al. Liquid–liquid phase separation morphologies in ultra-white beetle scales and a synthetic equivalent. Commun. Chem. 2, 100 (2019).
Article Google Scholar
Syurik, J., Jacucci, G., Onelli, O. D., Hölscher, H. & Vignolini, S. Bio-inspired highly scattering networks via polymer phase separation. Adv. Funct. Mater. 28, 1706901 (2018).
Article Google Scholar
Chandra, D., Yang, S., Soshinsky, A. A. & Gambogi, R. J. Biomimetic ultrathin whitening by capillary-force-induced random clustering of hydrogel micropillar arrays. ACS Appl. Mater. Interfaces 1, 1698–1704 (2009).
Article CAS PubMed Google Scholar
Vogler-Neuling, V. V. et al. Biopolymer photonics: from nature to nanotechnology. Adv. Funct. Mater. 34, 2306528 (2024).
Article CAS Google Scholar
Ito, M. M. et al. Structural colour using organized microfibrillation in glassy polymer films. Nature 570, 363–367 (2019).
Article ADS CAS PubMed Google Scholar
Zhang, W., Wang, D., Sun, Z., Song, J. & Deng, X. Robust superhydrophobicity: mechanisms and strategies. Chem. Soc. Rev. 50, 4031–4061 (2021).
Article CAS PubMed Google Scholar
Vera, M. U. & Durian, D. J. Angular distribution of diffusely transmitted light. Phys. Rev. E 53, 3215–3224 (1996).
Article ADS CAS Google Scholar
Qin, D. et al. Structural colour enhanced microfluidics. Nat. Commun. 13, 2281 (2022).
Article ADS CAS PubMed PubMed Central Google Scholar
Legland, D., Arganda-Carreras, I. & Andrey, P. MorphoLibJ: integrated library and plugins for mathematical morphology with ImageJ. Bioinformatics 32, 3532–3534 (2016).
Article CAS PubMed Google Scholar
Download references
Acknowledgements
We thank J. Wu, S. Chen and L. Tang for assistance with sample preparation and image processing; H. Takahashi, S. Kishimura of Nanohub at Kyoto University for access to their facility and instruments; the Analysis Centre at iCeMS, KUIAS, Kyoto University for access to their SEM and confocal microscope; T. Fujiwara and F. Ishidate for their help with confocal microscope experiments; D. Yamaguchi, K. Nishida, Y. Nakanishi and H. Ogawa for their help with X-ray characterizations; H. Lu and L. Yang from H. Xu’s group at Kyoto Institute of Technology for their help with bending tests; Y. Nishioka of Otsuka Chemicals, and Higashiyama Films for kind donation of PET substrates; T. Kato and H. Cheong at the Venture Business Laboratory at Nagoya University for access to their clean room facilities and microLED; R. Kurita at the Tokyo Metropolitan University for the discussions; and the Louvre (Paris), the Mauritshuis (the Hague) and the Library of Congress for permission to use their artworks.
Funding
This work was supported by JSPS Kiban-S (23H05468) and the JST K-Program Grant (JPMJKP23H4), and the central facilities were supported by the World Premier International Research Initiative (WPI), MEXT, Japan.
Ethics declarations
Competing interests
The authors declare no competing interests.
Peer review
Peer review information
Nature thanks Seung Hwan Ko, Bodo Wilts and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. Peer reviewer reports are available.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Extended data figures and tables
Extended Data Fig. 1 Formation of Deepfoam Photolithography (DFP) structures in the absence and presence of photoinitiator.
a, A near-surface foam was formed in the absence of photoinitiator. A 192-kDa polystyrene (PS) film with a thickness of 6.1 μm was prepared by spin-casting a solution that does not contain any photoinitiator. The film was illuminated using UV 254 nm (CX-2000 UVP) for 2 h. Foaming is limited to a few microns in depth even with prolonged development in 32 °C acetic acid. b, DFP can generate foaming deep within the polymer film in the presence of photoinitiator. A 192-kDa PS film with a thickness of 120 μm was prepared by casting a solution that contains 5 wt% thioxanthone relative to the PS. The film was illuminated using a custom LED chamber (Thorlabs, λi: 385 nm) with an energy dosage of 3000 J cm−2. Then, the film was developed in 32 °C acetic acid for 2 h. The SEM cross-section of the developed film demonstrated foaming over hundreds of micrometres in depth for a film containing a photoinitiator. Scale bar is 10 μm in the primary panels and 1 μm in the zoom-in panels.
Extended Data Fig. 2 DFP film growth as a function of time.
a, Normalized DFP film thickness versus development time, normalized by the as-UV-exposed thickness. Error bars denote standard deviation (n = 3). b, SEM cross-section of the UV exposed film. c–l, SEM cross-section of the DFP film after a development time of 5 s (c), 15 s (d), 25 s (e), 60 s (f), 2 min (g), 3 min (h), 6 min (i), 15 min (j), 2 h (k), and 24 h (l), respectively. Scale bar: 2 μm in the zoom-in panels. In (a)–(l), DFP films were prepared under standard conditions: 5-μm-thickness, thioxanthone-to-polystyrene ratio of 5 wt%, 3000 J cm−2 (Thorlabs, λi: 385 nm), developed in 32 °C acetic acid. This result corresponds to the red-circle plot in Fig. 3a of the main text.
Source data
Extended Data Fig. 3 Workflow of the FIB-SEM analysis.
Firstly, a series of cross-sectional SEM images were obtained via FIB milling. Secondly, the FIB-SEM image stack was reconstructed into a three-dimensional (3D) volume using the software Dragonfly 3D World ZEISS edition (Version 2025.1). Thirdly, spatial segmentation of the reconstructed 3D volumes was performed using the machine learning model (Pre-trained U-Net Depth=5) implemented in the software. The segmented bubbles were used to determine their centroid positions and volume-equivalent diameters. Scale bars, 2 μm.
Extended Data Fig. 4 Confocal laser scanning microscopy (CLSM) and spectroscopic analysis of in situ DFP development.
a, Schematic of the sample configuration on the microscope objective. b, 3D reconstruction of in situ DFP development by CLSM. The thickness of the remaining original polymer layer (h1) was tracked to evaluate diffusion kinetics. For visualization purposes, polystyrene (PS) film (fluorescence from Rhodamine B) and the developer (acetic acid, fluorescence from SeTau-647-NHS) are pseudo-coloured as turquoise and red respectively. Scale bar, 5 μm. c, h1 thickness versus development time by in situ CLSM measurement. Inset is h1 reduction rate versus energy dose (Error bars denote standard deviation, n = 2). d, Schematic of the setup of in-situ spectroscopic measurement. e, Schematic of the bilayer optical model used for fitting the in situ reflectance spectra. See more details in Supplementary Note 1. f, Example of measured reflectance spectra. g, Example of simulated reflectance spectra. h, Change in film thickness and acetic acid fraction over development time by in situ spectroscopic analysis. i, h1 thickness versus development time under different development temperatures by in situ spectroscopic analysis. For (c) and (f)–(i), energy dose and development temperature were varied while all other parameters were kept at their standard values. Development temperature is 22 °C for (c). Energy dose and development temperature are 200 J cm−2 and 32 °C for (f)–(h). Development temperature is 32 °C for (i).
Source data
Extended Data Fig. 5 Structural evolution of 35-kDa polystyrene (PS) DFP film under a higher energy dosage.
a, Normalized DFP film thickness versus development time, normalized by the as-UV-exposed thickness. Error bars denote standard deviation (n = 3). b–h, SEM cross-section of the DFP film after a development time of 5 s (b), 25 s (c), 1 min (d), 1.5 min (e), 6 min (f), 0.5 h (g), and 2 h (h), respectively. Scale bar: 5 μm in the primary panels and 1 μm in the zoom-in panels. In (a)–(h), 2.7-μm-thick PS (35 kDa) film was prepared by spin-casting a solution containing 5 wt% thioxanthone relative to PS. UV exposure was performed in a custom LED chamber (Thorlabs, λi: 385 nm) with an energy dosage of 2000 J cm−2. The UV-exposed films were developed in acetic acid at 22 °C. This result corresponds to the green triangles in Fig. 3f of the main text.
Source data
Extended Data Fig. 6 DFP in a wide variety of polymers using various photoinitiators.
Photos of DFP printing and cross-sectional SEM images of the foams are given for different polymer systems: polycarbonate (PC) (a, f), cellulose triacetate (CTA) (b, e), polyethylene terephthalate (PET) (c, g), polysulfone (PSU) (d, h), and poly(methyl methacrylate) (PMMA) (i). Scale bars, 5 mm for the macrolens photos and 1 μm for the SEM cross-sections. 2.5-μm-thick polymer film was prepared by spin-casting a polymer solution (solvent: trifluoroacetic acid for PET and chloroform for the others) on cover glass. The photoinitiator (thioxanthone) to polymer ratio was maintained at 9 wt% for all the polymers. The films were illuminated using a custom LED chamber (Thorlabs, λi: 385 nm) at an energy dosage of 600 J cm−2. Photomask was made using an OHP sheet. Development was performed at room temperature (22 ± 1 °C) for all polymers: 10 min for 1-proponal: toluene (v/v: 8/2) for the PET film, 130 s in acetic acid for the PC film, 120 s in acetone: acetic acid (v/v: 6/5) for the PSU film, and 60 s in 1-propanol: acetone (v/v: 7/3) for the CTA film, and 60 s in acetic acid: H2O (v/v, 5/3) for PMMA film. All films were dried using an air blower upon completion of development. Note we have also successfully realized formation of DFP structures via a diverse set of photoinitiators, which includes thioxanthone, benzophenone and its derivatives e.g., 2-methylbenzophenone, 4,4′-bis-(diethylamino)-benzophenone, etc., anthraquinone, and phenanthrenequinone. These photoinitiators have a broad absorption window in the wavelength range of 300–400 nm.
Extended Data Fig. 7 Change in thickness and surface morphologies of polycarbonate (PC) DFP films over development time.
a, SEM cross-sections of PC DFP films at different development times. Panel number in (a) denotes as-illuminated film (1), and development time of 90 s (2), 30 min (3), and 2 h (4), respectively. b, Surface SEM images of PC films at different development times. c, Surface SEM images of 35-kDa polystyrene (PS) films at different development times. Panel number in (b) and (c) denotes as-illuminated film (1), and development time of 5 min (2), 15 min (3), 30 min (4), 1 h (5), 1.5 h (6), and 2 h (7). The polystyrene (35 kDa) and polycarbonate DFP films are prepared in the same conditions as those tested for the water contact angles (Fig. 4g in the main text). Briefly, photoinitiator (thioxanthone) to polymer ratio was kept at 7 wt% for both polymers. The films were illuminated using the custom LED chamber (Thorlabs, λi: 385 nm). The energy dose and development temperature for 35-kDa polystyrene films were 1000 J cm−2 and 22 °C, respectively. The energy dosage and development temperature for polycarbonate films were 3000 J cm−2 and 32 °C, respectively. Scale bars, 2 μm (a); 20 μm (primary panels, b, c); 1 μm (zoom-in panels, b, c).
Extended Data Fig. 8 DFP microfluidics and printing on flexible substrates.
a, Schematic of capillary flow in DFP microfluidics. b, SEM image of a DFP microfluidic film. c, Liquid (ethanol/water: 9/1, v/v, fluorescence from ATTO 495) flow in a high-resolution DFP microfluidics. 2-μm-thick polystyrene (PS, 35 kDa) film was prepared by spin casting a solution with thioxanthone content of 12.5 wt% (relative to PS) on a glass cover slip. The film was illuminated using a microLED instrument with an energy dosage of 80 J cm−2 and developed in 22 °C acetic acid for 90 sec. d–g, Photographs show bending of DFP films (d, f) and preservation of the patterns after releasing the bending (e, g). For (d) and (e), 2.5-μm-thick 192-kDa polystyrene film was cast on a 0.25-mm-thick polypropylene sheet. Thioxanthone (photoinitiator) was added at 9 wt% relative to PS in the casting solution. The film was illuminated using a large LED array (Micro Square, λi: 405 nm) with an energy dosage of 300 J cm−2. Photomask is made using an OHP sheet. For (f) and (g), a 2.5-μm-thick 192-kDa polystyrene film was cast on a 0.25-mm-thick polypropylene sheet. 2-methylbenzophenone (photoinitiator) was added at 9 wt% relative to PS in the casting solution. The film was illuminated using a large LED array (Micro Square, λi: 365 nm) with an energy dosage of 100 J cm−2. Photomask is made using an OHP sheet. Development used 22 °C acetic acid for (d) and (e), and 32 °C acetic acid for (f) and (g), respectively. Scale bars, 50 μm (b); 100 μm (c); 1 cm (e, g).
Extended Data Fig. 9 DFP fibers.
a, Schematic of the DFP process in fibers. b–d, SEM cross-sections of foamed 192-kDa polystyrene (PS) fibers after different development times: 25 s (b), 110 s (c), and 2 h (d). 192-kDa PS was dissolved in N,N-dimethylformamide (DMF) at a concentration of 35 wt% with a thioxanthone (THX) content of 4 wt% relative to PS. The prepared solution was electrospun at 16 kV with a flow rate of 2.0 mL h−1. The fibrous mat was illuminated using a large LED array (Micro Square, λi: 385 nm) with an energy dosage of 1500 J cm−2. The illuminated mat was developed in 32 °C acetic acid. e, Printing via the DFP process using a PS/THX electrospun mat. Blue colour of the fibers is from a dye (Disperse Blue 14) added to the polymer solution. A lower detail photomask from Fig. 5l was made using a OHP sheet. Ruler for scale (cm). f and g, Microscope photos of the sample in Fig. 5l at progressively higher magnifications. For (e)–(g), the sample was made under the same conditions, developed for 60 sec. Scale bar, 2 μm (b–d); 500 μm (f); 200 μm (g). Substrates: a glass cover slip (b–d); 1-mm-thick glass plate (e–g).
Supplementary information
Source data
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
Reprints and permissions
About this article
Cite this article
Qin, D., Liu, X., Kuang, B. et al. Foaming photopolymers as a high-resolution biomimetic printing platform. Nature (2026). https://doi.org/10.1038/s41586-026-10968-9
Download citation
Received:
Accepted:
Published:
Version of record:
DOI: https://doi.org/10.1038/s41586-026-10968-9