Laser-induced periodic surface structure (LIPSS), which has a period smaller than the laser wavelength, is expected to become a potential technique for fine surface processing. We report the microscopic and macroscopic observations of the crystallinity of LIPSSs, where the characteristics such as defects generation and residual strain were analyzed, respectively. The LIPSSs were formed on a Si substrate using two different femtosecond pulses from Ti:Sapphire laser with near-infrared wavelength (0.8 μm) and free-electron laser (FEL) with mid-infrared wavelength (11.4 μm). The photon energies of the former and latter lasers used here are higher and lower than the Si bandgap energies, respectively. These LIPSSs exhibit different crystalline states, where LIPSS induced by Ti:Sapphire laser show residual strain while having a stable crystallinity; in contrast, FEL-LIPSS generates defects without residual strain. This multiple analysis (microscopic and macroscopic observations) provides such previously-unknown structural characteristics with high spatial resolution. To obtain LIPSS with suitable properties and characteristics based on each application it is paramount to identify the laser sources that can achieve such properties. Therefore, identifying the structural information of the LIPSS generated by each specific laser is of great importance.
Laser-induced periodic surface structure (LIPSS), which is spontaneously formed by ultra-short laser pulse irradiation, has a periodic pattern much smaller than the laser wavelength. After the first reports on the observation of laser-induced periodic structures had immerged1, many researches experimentally and theoretically investigated the formation mechanisms2,3,4,5,6,7,8,9,10,11, so far, revealing predominant physical processes governing the periodic pattern, such as surface plasmon polariton (SPP) excitation11,12,13, parametric decay15, and second-harmonic generation16,17. According to the previous works, critical laser parameters affecting the LIPSS period are wavelength, energy fluence, the number of superimposed pulses, and the ambient air pressure18,19,20,21,22. While these parameters affect the period of the LIPSS, actively controlling the period itself via coating material different from the sample substrate, has shown to be possible23. Recently, the use of femtosecond pulses from terahertz free-electron laser (THz-FEL)24,25,26,27,28, as well as conventional femtosecond lasers, has enabled the all-optical, contactless fabrication of structured surfaces with various periods ranging from nanoscale to microscale.
The LIPSS is a promising technique that can be applied in fine surface processing, which exceeds the wavelength limit, especially in the case using THz-FEL the periods are much smaller than one-twenties of the wavelength. The LIPSS-based processing could be non-contact, damage-less and chemical-free as advantageous characteristics compared with the conventional processing techniques such as electron beam lithography and photolithography. And LIPSS can be formed on almost all solid materials. These advantages are applicable potentially to solar cells29,30,31, hydrophilic and hydrophobic functional materials32,33, quantum light-emitting diodes34, and microscale random-laser35. However, the lattice states and crystallinity of the LIPSS have not yet been fully understood, although it directly influences the final device properties for such applications.
The LIPSS examined in this study were formed on the Si substrate using pulses from two different infrared femtosecond sources, a Ti:Sapphire laser and a FEL, where center wavelengths are 800 nm and 11.4 μm respectively. Utilizing Ti:Sapphire laser as a conventional light source used for LIPPS formation, and FEL as a new light source to form LIPSS, we attempt to examine the effect of different photon energies for both higher and lower than Si bandgap energies. This holds significance as the main light absorption occurs at the band-edge in general laser processing. The absorption coefficient of Si for 800 nm and 11.4 μm at 300 K is 8.5E + 02 cm−136 and 2.32 cm−137, respectively. Si is a typical semiconductor material, which is applied for various opt- and power- devices such as solar cells or transistors, where the performance of these devices is controlled by the electronic states. Therefore, it has been chosen as the substrate for the samples used in this study. We investigated the crystallinity of the LIPSS by Synchrotron high-energy x-ray diffraction (XRD), through a correlation with crystallographic analysis of transmission electron microscope (TEM) observation38,39,40,41.
We used Ti:Sapphire laser (wavelength λ: 800 nm, pulse duration: 100 fs, repetition frequency: 1 kHz) and MIR-FEL42,43 (λ: 11.4 μm, micro-pulse duration: 500 fs, repetition frequency of micro-pulses: 2856 MHz, macro-pulse duration: 2 μs, repetition frequency of macro-pulses: 2 Hz) for the formation of LIPSS. Si (100) substrates were used as irradiated materials. The energy fluences per pulse were 0.092 J/cm2 in the case of irradiation using Ti:Sapphire laser, and 9.9 J/cm2 (macro-pulse) and 0.0017 J/cm2 (micro-pulse) in the case of MIR-FEL, respectively. The number of the laser pulses irradiated at the same point was calculated to be 30 for the Ti:Sapphire laser and 14 for the MIR-FEL.
The LIPSSs were analyzed by TEM (JEM-2100EX, JEOL) and high-energy XRD using two-dimensional detector44,45. The samples for TEM observation were prepared using a focused-ion-beam (FIB) processing machine (JEM-9320FIB, JEOL). The FIB process was applied to thin the sample and make observation of the transmitted images possible. During the FIB process, C was deposited to protect the sample surface and Ga was deposited by the processing ions to thin the sample. The thickness of the mixed layer can be calculated to be approximately 50 nm. The FIB process was performed before the TEM observation, and not performed on the sample for the XRD measurement.
The XRD analysis using two-dimensional detector provides not only the information of lattice constant but also the distribution of crystal azimuth. The XRD measurement was performed using beamline BL22XU in SPring-8. The photon energy of the x-rays was 30 keV, and the beam size was 20 μm. Transmitted x-ray diffraction spot/ring was detected by 2D detector (PILATUS300K, DECTRIS) as shown in Fig. 1, where the dotted arrows show the direction of the x-rays and the solid arrows represent the crystal orientation of Si substrate, respectively. The angular resolution of this XRD system is high at a 2θ level of 0.02°–0.04°.
Surface analysis by SEM observation
The surface images of LIPSS taken by a scanning electron microscope (SEM) are shown in Fig. 2. Figure 2a,b show the LIPSSs formed by Ti: sapphire laser and MIR-FEL, respectively. The applied laser was linearly-polarized and the direction of the laser polarization is shown in the figure as E. In the case of Ti:Sapphire laser, the LIPSS was formed perpendicular to the E and the period of the LIPSS was 582.5 ± 35 nm, which was measured by Fourier-transformed image. The period of the LIPSS corresponds to 70% of the laser wavelength. Meanwhile, the LIPSS formed by MIR-FEL are parallel to the E and the period is 1.09 ± 0.35 μm, which corresponds to a tenth of the applied laser wavelength. In some previously published literatures, it has been reported that the direction of the LIPSS depends on the irradiated materials or the ratio of LIPSS-period to the applied laser wavelength46,47,48. Bonse et al. reported that the LIPSS with a bit shorter period than the applied laser wavelength (0.5λ < period < λ) was formed parallel to the E, and the LIPSS with shorter period than half the laser wavelength (< 0.5λ) was formed perpendicular to the E in the case of Si substrate. Our results match reasonably well with these previous reports46,47.
Micro-characterization by TEM observation
Cross-sectional TEM images of LIPSS induced by Ti:Sapphire laser are presented in Fig. 3, where Fig. 3a is a bright-field image, Fig. 3b is a dark-field image (g ║ Si), Fig. 3c,d are selected area electron diffraction (SAED) patterns detected at the area 1 and 2 shown in Fig. 3a,e is high-resolution TEM image at the square-marked area in Fig. 3a. The surface layer of approximately 50 nm is C and Ga deposited during the FIB process. No defects are detected and the spot patterns were detected from both LIPSS and substrate areas. These results demonstrate that the LIPSS induced by Ti:Sapphire laser kept crystalline, comparable to the substrate. Moreover, the high-resolution TEM images presented in Fig. 3e depict that the Si atoms arrangement is kept regularly.
Figure 4 shows the TEM images of LIPSS induced by MIR-FEL, where Fig. 4a is a bright-field image, Fig. 4b is a dark-field image (g ║ Si), and Fig. 4c is SAED pattern detected at the circle area shown in Fig. 4a,d is high-resolution TEM image at the marked area in Fig. 4a. Figure 4a, b depict generation of the dislocation-like defects at LIPSS area and until the depth approximately 1 μm. Similar to previous reports on the defect evaluation of Si49, we believe that these defects are clusters of point defects, such as dislocation loops or voids. These defects can soccurr along the slip plane (111) when local temperature rise was happened by laser irradiation. The SAED pattern with both spot and ring depicts that the LIPSS kept crystalline but had local random orientation. These patterns have been reported to be observed at the amorphous area or at randomly oriented nanoparticles50. Our results of the high-resolution TEM observation shown in Fig. 4d also match these reports. Figure 4d shows the regular atomic arrangement, though including some local round-shaped disarrangement in 2–3 nm size. The results depict that the LIPSS was crystalline at the level that the atomic arrangement can be observed, but also some local nanoparticles rotated the alignment slightly.
Macro-characterization by high-energy XRD analysis
Two-dimensional (2D) XRD pattern of LIPSS induced by Ti:Sapphire laser is shown in Fig. 5a. The arrows indicate the diffraction angle (2θ) and the crystal azimuthal angle (γ), respectively. The diffraction peak of Si (1–1–1) plane was detected in the measurement condition shown in Fig. 1. The spot-shaped peak depicts that the LIPSS is crystalline oriented, however, the extension along like a part of the halo-pattern shows the crystalline fluctuation slightly. The lattice spacing (d) was calculated using Bragg’s equation, where the wavelength of incident x-rays of 0.4135 Å. For the LIPSS induced by the Ti:Sapphire laser pulses, the detected d value is 3.16049 Å whereas, in the case of the MIR-FEL, it is 3.13852 Å. The d value of the substrate, which is detected at 200 μm below the top surface of the LIPSS, was calibrated to 3.135 Å as Si (1–1–1) lattice spacing51. The lattice spacing of the LIPSS induced by Ti:Sapphire laser increased by 0.02549 Å compared with the substrate, whereas the difference between the LIPSS induced by MIR-FEL and substrate was just 0.00352 Å. Figure 5b,c show the lattice spacing-intensity profile of the LIPSS induced by Ti:Sapphire laser and MIR-FEL, and (I)–(VI) depict the depth dependence, in which the center position of the x-ray beam was at (I) 20 μm above the top surface of the LIPSS, (II) 10 μm above the top surface of the LIPSS, (III) at the top surface of the LIPSS, (IV) 10 μm below the top surface of the LIPSS, (V) 20 μm below the top surface of the LIPSS, and (VI) 200 μm below the top surface of the LIPSS. The dotted line indicates 3.135 Å. All the peaks detected from MIR-FEL and those detected 200 μm below the top surface of the Ti:Sapphire-LIPSS were broad because the samples were set slightly-shifted from the position that satisfies the Bragg’s equation, where this is to detect small change. As a result, at the position 200 μm below the top surface of LIPSS the diffraction is caused by the substrate area, not-including the LIPSS area. The profile of LIPSS induced by Ti:Sapphire laser demonstrates two sharp peaks at 3.160 Å and 3.135 Å. The lattice spacing at 20 μm above the top surface of the LIPSS, which means that it was diffracted only by the LIPSS area, was 3.16049 Å as mentioned above. With moving the diffraction area from LIPSS to the substrate, the intensity of the peak at 3.160 Å decreased while the peak at 3.135 Å became dominant. These results depict that residual tensile strain was obtained at the area of the LIPSS induced by Ti:Sapphire laser, and the strain value was calculated as 0.00852. According to theoretical research on the multi-physical model of LIPSS formation53, nanocavities are formed especially at the tips of LIPSS. Hence, the nanocavities might cause the lattice expansion and the residual tensile strain. On the other hand, only one peak was detected from the LIPSS induced by MIR-FEL, while its peak slightly shifted from 3.135 to 3.138 Å moving the center position of the x-ray beam from LIPSS to the substrate.
The results of LIPSS formed by Ti:Sapphire laser, TEM observation demonstrated a crystallinity comparable to the substrate without significant defects, and the XRD measurement depict that residual tensile strain was generated in (1–1–1) plane at LIPSS area. The high-energy XRD measurement provided unknown information about residual strain in LIPSS with high spatial resolution at a level less than 0.1 Å, where the measurement resolution of the equipment setup is 0.004 Å. The angular resolution of this XRD observation is high enough at 2θ levels of 0.02°–0.04°, corresponding to atomic displacements of 5 × 10–3 Ȧ or less. This residual strain would not affect electronic or optical device properties significantly, however, the pivotal point is that it is possible to evaluate the strain with this high resolution.
For the case of LIPSS formed by MIR-FEL, it exhibited defects while some local nanoparticles rotated the alignment slightly. For amorphous-like state with rotated nanoparticles, the distance to first neighbor atom is the same as in crystalline Si. Therefore, the crystal state evaluated by TEM shows a good correlation with the result of XRD which is that the lattice spacing of (1–1–1) plane did not present the difference between LIPSS and substrate. Moreover, the generation of defects might reduce the residual strain.
The crystallinity difference could originate from the difference in the optical absorption process during LIPSS formation. In the case of Ti:Sapphire laser, which the photon energy is higher than Si bandgap, the absorption occurred through the electron transitions from the valence band to the conduction band. On the other hand, in the case of MIR-FEL, whose photon energy is much lower than the bandgap. These lasers differ significantly in wavelength and pulse structure. Therefore, their LIPSSs could be caused by each different predominant absorption process, which is not yet fully understood. One possible process is, for example, the nonlinear absorption enhancement discovered recently in highly repetitive MIR-FEL pulses (2856 MHz) irradiation54.
These defects or residual strain in LIPSS, in general, are not supposed to have a significant impact on the optical or electronic device properties where they are utilized such as solar cells or LED, the residual strain and consequent stress may affect the mechanical properties of the device surface. Continuous investigation of any positive and negative effects on the device properties due to these defects in detail is important and we will intend to as our future research.
We demonstrated that the combination of analysis by TEM and high-energy XRD complemented each other as the micro-scopic and macro-scopic analysis, respectively. These evaluations, where micro characteristics such as defects or atomic arrangement by TEM and macro characteristics such as residual strain by XRD, provide valuable information in order to utilize LIPSS for prospective applications in devices. We also demonstrated the crystallinity difference of LIPSS depending on the applied laser. We used Ti:Sapphire laser, whose photon energy is higher than the bandgap energy of Si, and MIR-FEL, whose photon energy is lower than the bandgap energy of Si. The LIPSS induced by Ti:Sapphire laser kept high crystalline but occurred slight residual strain. In contrast, the LIPSS induced by MIR-FEL generated the defects but no observable strain. The crystallinity difference could be caused by each different predominant absorption process during LIPSS formation, which is not yet fully understood. And the period of the LIPSS strongly depends on the applied laser, since the laser wavelength is known as the most effective parameter. We can prioritize the characteristic of the LIPSS, such as periods, strain and effects, for the expecting application and the desired structures (Supplementary Information S1).
The datasets used and/or analyzed during the current study available from the corresponding author on reasonable request.
Birnbaum, M. Semiconductor surface damage produced by ruby lasers. J. Appl. Phys. 36, 3688 (1965).
Driel, H. M., Sipe, J. E. & Young, J. F. Laser-induced periodic surface structure on solids: a universal phenomenon. Phys. Rev. Lett. 49, 1955 (1982).
Guosheng, Z., Fauchet, P. M. & Siegman, A. E. Growth of spontaneous periodic surface structures on solids during laser illumination. Phys. Rev. B 26, 5366 (1982).
Sipe, J. E., Young, J. F., Preston, J. S. & Driel, H. M. Laser-induced periodic surface structure I Theory. Phys. Rev. B 27, 1141 (1983).
Young, J. F., Preston, J. S., Driel, H. M. & Sipe, J. E. Laser-induced periodic surface structure II experiments on Ge, Si, Al, and brass. Phys. Rev. B 27, 1155 (1983).
Young, J. F., Sipe, J. E. & Driel, H. M. Laser induced periodic surface structure III Influence regimes, the role of feedback, and details of the induced topography in germanium. Phys. Rev. B 30, 2001 (1984).
Momma, C., Nolte, S., Chichkov, B. N. & Alvensleben, F. V. Precise laser ablation with ultrashort pulses. Appl. Surf. Sci. 109, 15 (1997).
Ashkenasi, D., Rosenfeld, A., Varel, H., Wahmer, M. & Campbell, E. E. B. Laser processing of sapphire with picosecond and sub-picosecond pulses. Appl. Surf. Sci. 120, 65 (1997).
Varel, H., Wahmer, M., Rosenfeld, A., Ashkenasi, D. & Campbell, E. E. B. Femtosecond laser ablation of sapphire: time-of-flight analysis of ablation plume. Appl. Surf. Sci. 127–129, 128 (1998).
Bonse, J. & Gräf, S. T. open questions about laser-induced periodic surface structures. Nanomater. 11(12), 3326 (2021).
Reif, J., Varlamova, O., Uhlig, S. & Bestehorn, M. On the physics of self-organized nanostructure formation upon femtosecond laser ablation. Appl. Phys. A 117, 179–184 (2014).
Miyaji, G. & Miyazaki, K. Origin of periodicity in nanostructuring on thin film surfaces ablated with femtosecond laser pulses. Opt. Express 16, 16265 (2008).
Derrien, T.J.-Y., Itina, T. E., Torres, R., Sarnet, T. & Sentis, M. Possible surface plasmon polariton excitation under femtosecond laser irradiation of silicon. J. Appl. Phys. 114, 083104 (2013).
Miyaji, G., Miyazaki, K., Zhang, K., Yoshifuji, T. & Fujita, J. Mechanism of femtosecond-laser-induced periodic nanostructure formation on crystalline silicon surface immersed in water. Opt. Express 20, 14848 (2012).
Sakabe, S., Hashida, M., Tokita, S., Namba, S. & Okamuro, K. Mechanism for self-formation of periodic grating structures on a metal surface by a femtosecond laser pulse. Phys. Rev. B 79, 033409 (2009).
Borowiec, A. & Haugen, H. K. Subwavelength ripple formation on the surfaces of compound semiconductors irradiated with femtosecond laser pulses. Appl. Phys. Lett. 82, 4462 (2003).
Jia, T. Q. et al. Formation of nanogratings on the surface of a ZnSe crystal irradiated by femtosecond laser pulses. Phys. Rev. B 72, 125429 (2005).
Shinonaga, T., Tsukamoto, M. & Miyaji, G. Periodic nanostructures on titanium dioxide film produced using femtosecond laser with wavelengths of 388 nm and 775 nm. Opt. Express 22, 14696 (2014).
Bonse, J. & Kruger, J. Pulse number dependence of laser-induced periodic surface structures for femtosecond laser irradiation of silicon. J. Appl. Phys. 108, 034903 (2010).
Miyaji, G. & Miyazaki, K. Nanoscale ablation on patterned diamondlike carbon film with femtosecond laser pulses. Appl. Phys. Lett. 91, 123102 (2007).
Hashida, M., Ikuta, Y., Miyasaka, Y., Tokita, S. & Sakabe, S. Simple formula for the interspaces of periodic grating structures self-organized on metal surfaces by femtosecond laser ablation. Appl. Phys. Lett. 102, 174106 (2013).
Nivas, J. et al. Effects of ambient air pressure on surface structures produced by ultrashort laser pulses irradiation. Opt. Lett. 42, 2710–2713 (2017).
Miyagawa, R., Goto, K. & Eryu, O. Periodicity control of laser-induced periodic nanostructures by thin deposition layer on sapphire substrate. Appl. Phys. Express 13, 096503 (2020).
Irizawa, A. et al. Laser induced fine structures on silicon exposed to THz-FEL. Appl. Phys. Lett. 111, 251602 (2017).
Nagashima, T., Irizawa, A., Hashida, M., Higashiya, A., Suga, S., & Sakabe, S. In situ observation of LIPSS formation on Si wafers under THz-FEL irradiation. IEEE The 43rd Int. Conf. IRMMW-THz 18227543 (2018).
Makino, K. et al. Significant volume expansion as a precursor to ablation and micropattern formation in phase change material induced by intense terahertz pulses. Sci. Rep. 8, 2914 (2018).
Agranat, M. B., Chefonov, O. V., Ovchinnikov, A. V., Ashitkov, S. I. & Fortov, V. E. Damage in a thin metal film by high-power terahertz radiation. Phys. Rev. Lett. 120, 085704 (2018).
Maeda, Y., Zen, H., Kitada, A., Murase, K. & Fukami, K. Enhancement of oxidation of silicon carbide originating from stacking faults formed by mode-selective phonon excitation using a mid-infrared free electron laser. J. Phys. Chem. Lett. 13, 2956 (2022).
Isabella, O., Krč, J. & Zeman, M. Modulated surface textures for enhanced light trapping in thin-film silicon solar cells. Appl. Phys. Lett. 97, 101106 (2010).
Nigo, F., Hashida, M., Tsukamoto, M., Sakabe, S. & Kusaba, M. Surface roughness and crystallinity of silicon solar cells irradiated by ultraviolet femtosecond laser pulses. IEEJ Trans. Fund. Mater. 140, 401 (2020).
Nigo, F., Hashida, M., Tsukamoto, M., Sakabe, S. & Kusaba, M. Reflectance and crystallinity of silicon solar cells with LIPSS produced by XeCl excimer laser pulses. Appl. Phys. A 126, 129 (2020).
Long, J. et al. Superhydrophobic and colorful copper surfaces fabricated by picosecond laser induced periodic nanostructures. Appl. Surf. Sci. 311, 461 (2014).
Martínez-Calderon, M. et al. Femtosecond laser fabrication of highly hydrophobic stainless steel surface with hierarchical structures fabricated by combining ordered microstructures and LIPSS. Appl. Surf. Sci. 374, 81 (2016).
Lai, Y. C. et al. Nanometer scale fabrication and optical response of InGaN/GaN quantum disks. Nanotech. 27, 425401 (2016).
Fujiwara, H. & Sasaki, K. Amplified spontaneous emission from a surface-modified GaN film fabricated under pulsed intense UV laser irradiation. Appl. Phys. Lett. 113, 171606 (2018).
Green, M. A. & Keevers, M. Optical properties of intrinsic silicon at 300 K. Prog. Photovolt. 3, 189–192 (1995).
Chandler-Horowitz, D. & Amirtharaj, P. M. High-accuracy midinfrared (450 cm-1≤ω≤4000 cm-1) refractive index values of silicon. J. Appl. Phys. 97, 123526 (2005).
Miyagawa, R., Ohno, Y., Deura, M., Yonenaga, I. & Eryu, O. Characterization of femtosecond-laser-induced periodic structures on SiC substrates. Jpn. J. Appl. Phys. 57, 025602 (2018).
Yamaguchi, M. et al. Raman spectroscopic study of femtosecond laser-induced phase transformation associated with ripple formation on single-crystal SiC. Appl. Phys. A 99, 23 (2010).
Okada, T. et al. Cross-sectional TEM analysis of laser-induced ripple structures on the 4H-SiC single-crystal surface. Appl. Phys. A 92, 665 (2008).
Kim, E., Shimotsuma, Y., Sakakura, M. & Miura, K. Nano periodic structure formation in 4H-SiC crystal using femtosecond laser double-pulses. J. Superhard Mater. 40, 259 (2018).
Zen, H., Suphakul, S., Kii, T. & Ohgaki, H. Present Status and Perspectives of Long Wavelength Free Electron Lasers at Kyoto University. Phys. Procedia 87, 47–53 (2016).
Qin, Y. et al. Pulse duration and wavelength stability measurement of a midinfrared free-electron laser. Opt. Lett. 38, 1068 (2013).
He, B. B., Preckwinkel, U. & Smith, K. L. Advances in x-ray analysis -Fundamentals of two-dimensional x-ray diffraction (XRD2). JSPDS Int. Centre Diff. Data 43, 273 (2000).
Park, C. et al. New developments in micro-x-ray diffraction and x-ray absorption spectroscopy for high-pressure research at 16-BM-D at the advanced photon source. Rev. Sci. Inst. 86, 072205 (2015).
Bonse, J., Krüger, J., Höhm, S. & Rosenfeld, A. Femtosecond laser-induced periodic surface structures. J. Laser Appl. 24, 042006 (2012).
Höhm, S., Herzlieb, M., Rosenfeld, A., Krüger, J. & Bonse, J. Dynamics of the formation of laser-induced periodic surface structures (LIPSS) upon femtosecond two-color double-pulse irradiation of materials, semiconductors, and dielectrics. Appl. Surf. Sci. 374, 331 (2016).
Wagner, R. & Gottmann, J. Sub-wavelength ripple formation on various materials induced by tightly focused femtosecond laser radiation. J. Phys. 59, 333 (2007).
Ohno, Y., Hirata, M., Takeda, S., Fujimoto, R. & Oshima, R. Atomic structure of a defect colony in silicon introduced during neutron irradiation in JOYO reactor. J. Electron Microsc. 45, 380 (1996).
Viera, G. M., Bertran, E., RocaiCabarrocas, P. & Boufendi, L. Atomic structure of the nanocrystalline Si particles appearing in nanostructured Si thin films produced in low-temperature radiofrequency plasmas. J. Appl. Phys. 92, 4684 (2002).
Wyckoff, R. W. G. Crystal structures 1, 73 (1963).
Stoney, G. G. The tension of metallic films deposited by electrolysis. Proc. Roy. Soc. London 82, 172 (1909).
Rudenko, A., Mauclair, C., Garrelie, F., Stoian, R. & Colombier, J.-P. Amplification and regulation of periodic nanostructures in multipulse ultrashort laser-induced surface evolution by electromagnetic-hydrodynamic simulations. Phys. Rev. B 99, 235412 (2019).
Jupé, M., Jensen, L., Melninkaitis, A., Sirutkaitis, V. & Ristau, D. Calculations and experimental demonstration of multi-photon absorption governing fs laser-induced damage in titania. Opt. Express 17, 12269 (2009).
This work was supported by Grant-in-Aid for Scientific Research on Innovative Areas Grant Number JP16H06415, Grant-in-Aid for Young Scientists (B) Grant Number JP17K14111, Grant-in-Aid for Challenging Research Pioneering 18H05338, the Amada Foundation Research Grant, MEXT Quantum Leap Flagship Program (MEXT Q-LEAP) Grant No. JPMXS0118070187 and Genesis Research Institute, Inc. (Konpon-ken, Toyota), and ZE Research Program, IAE (ZE2020B-51, ZE2021B-41). The XRD experiments were performed at the BL22XU of Spring-8 with the approval of the Japan Synchrotron Radiation Research Institute (proposal Nos. 2018A3738, 2019A3741, and 2020A3739). We are grateful to Prof. Ryuji Katayama, Prof. Tomoyuki Tanikawa and Prof. Masahiro Uemukai (Osaka Univ.) for helpful discussions. The authors would like to thank Dr. SeyedAli Rezvani (Santec corp.) for great support with professional English proofreading.
The authors declare no competing interests.
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Miyagawa, R., Kamibayashi, D., Nakamura, H. et al. Crystallinity in periodic nanostructure surface on Si substrates induced by near- and mid-infrared femtosecond laser irradiation. Sci Rep 12, 20955 (2022). https://doi.org/10.1038/s41598-022-25365-1
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.