Abstract

We present a kind of “one-step strategy” to produce black silicon film where the antireflection/light-trapping structures and the silicon film itself are fabricated simultaneously and directly from a silicon wafer. We first demonstrate that the macroporous black silicon has better light harvesting capability and longer lifetime of minority carriers than silicon nanowires of the same thickness, leading to higher efficiency when assembled into liquid junction photoelectrochemical solar cells. A free-standing macroporous black silicon film is further detached from the substrate and the measured absorption in the near infrared region is close to the theoretical limit without the help of back reflectors. FDTD simulations reveal that the modulation on the micrometer scale can scatter strongly and thus enhance the absorption of the originally weakly absorbed light.

© 2015 Optical Society of America

1. Introduction

Textures produced by anisotropic alkaline etching, with a typical size of several microns, have good light-trapping properties in crystalline silicon (c-Si) solar cells [1], but antireflection coatings are still necessary in order to get high conversion efficiency. Nano-structured c-Si (with cones, wires, or holes on the wafer surface) [2–9] has received steadily increasing interest as possible architectures for high efficiency and low cost solar cells, because they exhibit very low reflection especially in the visible region. Many approaches were developed to prepare these nanostructures [10,11], e.g., reactive ion etching, irradiating silicon with fs-laser pulses and metal-assisted chemical etching. However, the recombination loss associated with the dramatically increased surface area limits the efficiency of real cells [7].

To reduce the material cost and improve the efficiency further, designs of solar cells based on c-Si film of several microns thick have also been explored. Two typical models are silicon nanowire array and nanohole array in silicon [12–15]. But it is difficult to get high efficiency from such nano-structured c-Si film, due to the increased recombination loss and contact resistance arising from nano-structures [16]. A better design would be nano-holes or cones on a solid c-Si film [17,18]. However, in principle, there should be a somehow pre-existing silicon thin film in order to realize these designs experimentally. By etching a silicon wafer down to several microns one can obtain a free-standing c-Si film, and Wang et al. demonstrated a solar cell with nanocones on such a c-Si film [19]. Silicon-on-insulator (SOI) wafers can also provide thin c-Si films, and solar cells with nanocones or nanopyramids based on expensive SOI wafers were reported very recently [20,21]. On the other hand, c-Si thin films full of straight pores of micrometers in diameter (“macropores”) can be detached from a silicon substrate by electrochemical etching (the remaining substrate could be used to produce macroporous c-Si films continuously [22]). Recently solar cells based on macroporous c-Si films were demonstrated by Ernst et al. [23,24], but lacking efficient light-trapping structures.

In this paper, we present a kind of “one-step strategy” in which the c-Si thin film itself and the antireflection/light-trapping structures are fabricated simultaneously and directly from a silicon wafer, rather than relying on a pre-existing c-Si film. We first present the comparison of absorptivity, minority charge carrier lifetime, and photovoltaic characteristics between macroporous black silicon and silicon nanowires (both with substrates) in Section 2, and then show in Section 3 the macroporous black silicon film (detached from the substrate) and analyze its optical property in view of thin film c-Si photovoltaic applications.

2. Macroporous black silicon

The macroporous black silicon was fabricated by exposing an anodically biased n-type <100> silicon wafer (500 μm thick, Czochralski, bulk resistivity 2~6 Ω·cm) to dilute hydrofluoric acid (5 wt % HF), as described previously [25]. A hexagonal pattern of inverted pyramidal pits on the exposed surface, defined by photolithography, served as the initial seeds for pore growth (interpore distance 6 µm). The back side of the wafer was highly doped with phosphorus for ohmic contacts (by rapid thermal processing at 1000°C for 120 s with spin-on dopant P509 from Filmtronics). For a given interpore distance and fixed etching conditions, the pore diameter is determined by the current density flowing across the Si/HF interface, so that the diameter can be modulated by tuning the current density via backside illumination. Here the pore shape was chosen intuitively with some arbitrariness. As the cross-sectional SEM image shown in Fig. 1(a), blade-like tapered silicon walls at the entrance of the pore and the kinks inside the pore serve as antireflection and light-trapping structures, respectively.

 

Fig. 1 Cross-sectional SEM images of (a) macroporous black silicon and (b) silicon nanowires. The etch depth is around 17 μm for both cases.

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Optical absorptivity is a key factor to be considered before evaluating the photoelectrical conversion performance of solar cells. Reflection and transmission were measured by a spectrophotometer (Perkin Elmer Lambda 950) with a 150 mm integrating sphere, and the spectra are shown in Figs. 2(a)–2(b). For comparison, samples of silicon nanowires (with diameter in the range of 20–200 nm, filling fraction ~50%), as shown in Fig. 1(b), were also prepared, by metal-assisted chemical etching [26]. Figure 2(a) shows that the reflectance of both the macroporous black silicon and silicon nanowires is below 5% in the range of 300 nm to 1000 nm. It is clear from Fig. 2(b) that the macroporous black silicon absorbs more energy than the silicon nanowires for wavelengths above 800 nm, indicating the excellent light trapping capability of the macroporous black silicon especially in the near infrared region. For wavelengths below 500 nm the nanowires may absorb a little bit more, but the corresponding photon number seen from the solar spectra is relatively small, and therefore this part would not hinder the fact that the macroporous black silicon has overall higher absorptivity than the silicon nanowires (as is confirmed by integrating the product of the measured absorptance and AM 1.5G photon flux).

 

Fig. 2 (a,b) Reflectance, transmittance, and absorptance (A = 1 - R - T) spectra for a planar silicon, silicon nanowires, and macroporous black silicon. (c) Lifetime of minority carriers of the planar silicon, silicon nanowires, and macroporous black silicon.

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Lifetime of minority carriers is another key factor for solar cells. To track the effect from surface structures, the lifetime of different silicon structures were measured by microwave photoconductivity decay (µ-PCD) technique (Semilab WT-1200). To be fair, all samples were highly doped on the backside. The number shown in Fig. 2(c) was an average of multiple measurements. The lifetime does not decline much after electrochemical etching (the lifetime is 45.72 µs for the planar silicon, while it is 43.31 µs for the macroporous black silicon), however, the sharp decline of the lifetime for silicon nanowires (24.5 µs) reveals that the surface of silicon nanowires has large amount of lattice defects.

The different silicon samples were assembled into photoelectrochemical (PEC) solar cells for further comparison. It is a simple way to measure the photovoltaic characteristics by using the semiconductor/liquid junction, which provides a conformal contact to the structured silicon and allows assessment of the trade-offs between increased surface area and decreased carrier collection distances in such systems [27]. The electrolyte used here was consisting of 8.6 M hydrogen bromide (HBr) and 0.05 M bromine (Br2) [28]. We chose such an aqueous solution because of its easy handling. Since silicon is susceptible to oxidization in water under anodic bias, platinum nanoparticles (size 5-10 nm) were deposited on the surface of silicon, by electroless deposition in a bath consisting of 2 vol% HF solution and 1 mM H2PtCl6 for 25 minutes, as described in Ref [28]. Then the Pt-loaded samples were assembled into PEC cells with a Pt circle as the counter electrode in a Teflon cell with a quartz window. The photocurrent of the cells was measured by using a sourcemeter (Keithley 2420) under irradiation from a Class AAA solar simulator (Newport 94023A) which was used to simulate AM 1.5 illumination (100 mW/cm2), and the intensity of the light source was calibrated with a reference cell (Newport 91150V). The incident photon-to-current conversion efficiency (IPCE) was measured by using the IPCE Measurement Kit from Newport (QEPVSI-b).

Figure 3(a) shows that the macroporous black silicon has the highest short-circuit photocurrent density (Jsc) of 28.9 mA/cm2 and conversion efficiency (η) of 8.2%, while the silicon nanowires and the planar silicon only get Jsc = 19.9 mA/cm2 (η = 5.2%) and Jsc = 11.9 mA/cm2 (η = 3.4%), respectively (comparable to those reported in the literature [28]). The corresponding IPCE spectra are shown in Fig. 3(b). In agreement with the optical absorption measurement, the macroporous black silicon has the highest IPCE for wavelengths above 600 nm (light with wavelength shorter than 550 nm is absorbed by the Br2/HBr electrolyte as indicated by Fig. 3(c)). IPCE is mainly affected by three fundamental processes, including charge generation, transport within the material, and collection at the electrode/electrolyte interface. The charge generation efficiency is closely related to the amount of light absorbed by the semiconductor, and the charge transport efficiency is related to the recombination rate. The excellent light-trapping mechanisms especially for long wavelength light and low recombination loss render a high Jsc for the macroporous black silicon.

 

Fig. 3 (a) Photocurrent densities versus voltage (J - V curves) for PEC cells of the planar silicon, silicon nanowires, and macroporous black silicon. (b) IPCE spectra of the planar silicon, silicon nanowires, and macroporous black silicon. (c) The transmittance spectrum of Br2/HBr electrolyte in a quartz cuvette of 1 mm thick. The shorter cut-off wavelength in (c) than in (b) is due to the smaller thickness of the electrolyte in (c).

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3. Macroporous black silicon film

After the macroporous black silicon structures were fabricated, the diameter of the nethermost pores was enlarged by increasing the applied etching current, until the adjacent pores got connected, and then the film can be detached from the silicon substrate, as illustrated in Fig. 4(a). Figure 4(b) shows the SEM image of a macroporous black silicon film with thickness of about 56 µm, and Fig. 4(c) shows the measured absorptance, with the data given by the Yablonovitch limit [18] (AYablonovitch = 1 – 1/(1 + 4n2αdeq), α = 4πk/λ, deq the equivalent silicon thickness) for reference. The c-Si filling fraction is estimated to be 0.45 (from several different SEM images) when calculating deq, and the extinction coefficient k of silicon is from Ref [29]. It is clear from Fig. 4(c) that the absorptance of the detached film in the near infrared region is close to the Yablonovitch limit. Intuitively, some light can escape through the pores, especially for the visible region, but in practice this part can be reflected back into silicon by, e.g., the back electrode at the bottom. The integrated Jsc from the measured absorptance is 39.95 mA/cm2, close to 41.17 mA/cm2 calculated from the Yablonovitch limit. Note that no back reflectors were used in our measurement, in contrast to Ref [30]. with a similar equivalent thickness.

 

Fig. 4 (a) Schematic illustration of the detachment of a macroporous black silicon film from the silicon substrate. (b) Cross-sectional SEM image of a black macroporous silicon film. (c) Absorptance spectrum of the macroporous black silicon film and the Yablonovitch limit of an equivalent solid silicon film.

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To help understand the role of different structures in light absorption enhancement, we built a model as shown in Fig. 5(a). In order to release the burden to computer memory, the model has smaller interpore distance and smaller thickness than in Fig. 4(b), but it is chosen to mimic a real structure shown in Fig. 5(b) which was fabricated several years ago. Calculations were performed with the finite-difference time-domain method (using the code MEEP [31]). The unit cell is a × a × 20 μm3 (a is the lattice constant), treated with perfectly matched layers (PML) on the top and bottom, and periodic boundary conditions in the lateral directions. The excitation is a normal incident plane-wave pulse placed close to the top PML. The dielectric function of c-Si (only simulate the range of 1.2−4.0 eV) was fitted from the experimental data in [29]. The calculated absorptance is plotted in Fig. 5(c), together with that of a non-porous (solid) planar film and a film with straight nanoholes (with the c-Si filling fraction 0.5 and the lattice constant 500 nm as in [14]), with the same physical thickness (8.25 μm). We see that the macroporous black silicon film has the highest absorptance over the whole wavelength range, even though the macroporous film has the smallest c-Si filling fraction (0.46) among these three films. We also performed calculations for macroporous films with straight pores (without kinks) in the middle part (keeping the blade-like structures on the top and the bottom unchanged) and with different c-Si filling fraction, and found that the kinks inside the pore really helps to enhance light absorption. Another advantage of the macroporous silicon film over a nano-structured film is that the former has a much smaller surface area. The total surface area over the projected area is about 8.85 for the macroporous film, whereas it is 42.36 for the nanohole film. The increased carrier recombination that occurs at or near a textured surface is a direct consequence of the increased surface area, and thus a smaller total surface area is undoubtedly beneficial. We further calculated the case when we scaled the macroporous structure down to a lattice constant of 500 nm (keeping the profile along the pore axis unchanged), though it is difficult to produce such structures by electrochemical etching. The absorptance is shown in Fig. 5(c) as well. In the visible region, the absorptance of the scaled-down structure is close to 100%, mainly due to the much sharper tapers on the top surface. However, in the near infrared region, the absorptance of the scaled-down structure is lower than that of the original macroporous structure. This confirms that the interpore distance does influence the absorption of light with photon energy close to the band edge of silicon. Efficient light-trapping mechanisms especially for long wavelength light are necessary to achieve a high short-circuit current density for a thin-film solar cell. Dielectric structures with feature size comparable with the wavelength can scatter strongly the incident light and thus enhance the absorption.

 

Fig. 5 (a) Schematic drawing of a macroporous black silicon film, consisting of truncated cones and ellipsoids of air in a silicon film of thickness 8.25 μm (the dimensions are shown in the axial cross section on the right). The pore shape is chosen to mimic an experimentally realized structure shown in (b). (b) Cross-sectional SEM image of a black macroporous silicon sample. The pores were arranged in a square pattern with a lattice constant of a = 2 μm. (c) Calculated absorptance spectra for a non-porous planar film (gray dashed), a film with straight nanoholes (red square), and the macroporous black silicon film (blue dot), while keeping the same silicon film thickness of 8.25 μm. The c-Si filling fraction and the lattice constant for the nanohole film are 0.5 and 500 nm, respectively. For the macroporous film, the lattice constant is 2 μm and the c-Si filling faction is about 0.46. We also show the absorptance by a film scaled down from the macroporous film to a lattice constant of 500 nm (magenta solid).

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4. Conclusion

We have demonstrated a black silicon film with modulated macropores produced by electrochemical etching. Here the through pores were modulated also to function as antireflection and light-trapping elements. We have shown that the collaborative effects from the blade-like tapered silicon walls and the micrometer-scale modulation inside the pore render the macroporous black silicon superior in light harvesting, and the latter also helps for light absorption enhancement especially in the near infrared region. The macroporous silicon film has much smaller surface area than a film with pure nano-holes. This is important since the enhancement in optical absorption should overwhelm the increase in surface recombination loss. The present macroporous black silicon film is thus believed to be promising as a thin active layer for a high efficiency silicon solar cell.

Acknowledgments

This work was partially supported by Guangdong Innovative Research Team Program (201001D0104799318), NSFC (61204074 and 91233208), the 863 Program of China (2012AA030402), and also a grant from Department of Education of Guangdong Province. We are grateful to Prof. Xin Wang for access to the µ-PCD instrument and helpful discussion.

References and links

1. P. Campbell and M. A. Green, “Light trapping properties of pyramidally textured surfaces,” J. Appl. Phys. 62(1), 243–249 (1987). [CrossRef]  

2. Y. Chen, Z. Xu, M. R. Gartia, D. Whitlock, Y. Lian, and G. L. Liu, “Ultrahigh throughput silicon nanomanufacturing by simultaneous reactive ion synthesis and etching,” ACS Nano 5(10), 8002–8012 (2011). [CrossRef]   [PubMed]  

3. K. Q. Peng and S. T. Lee, “Silicon nanowires for photovoltaic solar energy conversion,” Adv. Mater. 23(2), 198–215 (2011). [CrossRef]   [PubMed]  

4. S. Koynov, M. S. Brandt, and M. Stutzmann, “Black nonreflecting silicon surfaces for solar cells,” Appl. Phys. Lett. 88(20), 203107 (2006). [CrossRef]  

5. H. M. Branz, V. E. Yost, S. Ward, K. M. Jones, B. To, and P. Stradins, “Nanostructured black silicon and the optical reflectance of graded-density surfaces,” Appl. Phys. Lett. 94(23), 231121 (2009). [CrossRef]  

6. M. Otto, M. Kroll, T. Käsebier, S. M. Lee, M. Putkonen, R. Salzer, P. T. Miclea, and R. B. Wehrspohn, “Conformal transparent conducting oxides on black silicon,” Adv. Mater. 22(44), 5035–5038 (2010). [CrossRef]   [PubMed]  

7. J. Oh, H.-C. Yuan, and H. M. Branz, “An 18.2%-efficient black-silicon solar cell achieved through control of carrier recombination in nanostructures,” Nat. Nanotechnol. 7(11), 743–748 (2012). [CrossRef]   [PubMed]  

8. L. Sainiemi, V. Jokinen, A. Shah, M. Shpak, S. Aura, P. Suvanto, and S. Franssila, “Non-Reflecting Silicon and Polymer Surfaces by Plasma Etching and Replication,” Adv. Mater. 23(1), 122–126 (2011). [CrossRef]   [PubMed]  

9. M. Steglich, D. Lehr, S. Ratzsch, T. Käsebier, F. Schrempel, E.-B. Kley, and A. Tünnermann, “An ultra-black silicon absorber,” Laser Photonics Rev. 8(2), L13–L17 (2014). [CrossRef]  

10. M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015). [CrossRef]  

11. X. Liu, P. R. Coxon, M. Peters, B. Hoex, J. M. Cole, and D. J. Fray, “Black silicon: fabrication methods, properties and solar energy applications,” Energy Environ. Sci. 7(10), 3223–3263 (2014). [CrossRef]  

12. L. Hu and G. Chen, “Analysis of optical absorption in silicon nanowire arrays for photovoltaic applications,” Nano Lett. 7(11), 3249–3252 (2007). [CrossRef]   [PubMed]  

13. C. Lin and M. L. Povinelli, “Optical absorption enhancement in silicon nanowire arrays with a large lattice constant for photovoltaic applications,” Opt. Express 17(22), 19371–19381 (2009). [CrossRef]   [PubMed]  

14. S. E. Han and G. Chen, “Optical absorption enhancement in silicon nanohole arrays for solar photovoltaics,” Nano Lett. 10(3), 1012–1015 (2010). [CrossRef]   [PubMed]  

15. Z. Xiong, F. Zhao, J. Yang, and X. Hu, “Comparison of optical absorption in Si nanowire and nanoporous Si structures for photovoltaic applications,” Appl. Phys. Lett. 96(18), 181903 (2010). [CrossRef]  

16. E. Garnett and P. Yang, “Light trapping in silicon nanowire solar cells,” Nano Lett. 10(3), 1082–1087 (2010). [CrossRef]   [PubMed]  

17. F. Wang, H. Yu, J. Li, X. Sun, X. Wang, and H. Zheng, “Optical absorption enhancement in nanopore textured-silicon thin film for photovoltaic application,” Opt. Lett. 35(1), 40–42 (2010). [CrossRef]   [PubMed]  

18. K. X. Wang, Z. Yu, V. Liu, Y. Cui, and S. Fan, “Absorption enhancement in ultrathin crystalline silicon solar cells with antireflection and light-trapping nanocone gratings,” Nano Lett. 12(3), 1616–1619 (2012). [CrossRef]   [PubMed]  

19. S. Wang, B. D. Weil, Y. Li, K. X. Wang, E. Garnett, S. Fan, and Y. Cui, “Large-area free-standing ultrathin single-crystal silicon as processable materials,” Nano Lett. 13(9), 4393–4398 (2013). [CrossRef]   [PubMed]  

20. S. Jeong, M. D. McGehee, and Y. Cui, “All-back-contact ultra-thin silicon nanocone solar cells with 13.7% power conversion efficiency,” Nat. Commun. 4, 2950 (2013). [CrossRef]   [PubMed]  

21. M. S. Branham, W. C. Hsu, S. Yerci, J. Loomis, S. V. Boriskina, B. R. Hoard, S. E. Han, and G. Chen, “15.7% Efficient 10 μm Thick Crystalline Silicon Solar Cells Using Periodic Nanostructures,” Adv. Mater. 27, 849–855 (2015). [PubMed]  

22. V. Lehmann, R. Stengl, H. Wendt, W. Hoenlein, and J. Willer, “Method for manufacturing a solar cell from a substrate wafer,” US Patent 5306647 (1994).

23. M. Ernst and R. Brendel, “Macroporous silicon solar cells with an epitaxial emitter,” IEEE J. Photovolt. 3, 723–729 (2013).

24. M. Ernst, R. Brendel, R. Ferré, and N. P. Harder, “Thin macroporous silicon heterojunction solar cells,” Phys. Status Solidi Rapid Res. Lett. 6(5), 187–189 (2012). [CrossRef]  

25. X. Ao, X. Tong, D. S. Kim, L. Zhang, M. Knez, F. Müller, S. He, and V. Schmidt, “Black silicon with controllable macropore array for enhanced photoelectrochemical performance,” Appl. Phys. Lett. 101(11), 111901 (2012). [CrossRef]  

26. K. Q. Peng, A. Lu, R. Zhang, and S. T. Lee, “Motility of metal nanoparticles in silicon and induced anisotropic silicon etching,” Adv. Funct. Mater. 18(19), 3026–3035 (2008). [CrossRef]  

27. B. M. Kayes, H. A. Atwater, and N. S. Lewis, “Comparison of the device physics principles of planar and radial pn junction nanorod solar cells,” J. Appl. Phys. 97(11), 114302 (2005). [CrossRef]  

28. K. Q. Peng, X. Wang, X. L. Wu, and S. T. Lee, “Platinum nanoparticle decorated silicon nanowires for efficient solar energy conversion,” Nano Lett. 9(11), 3704–3709 (2009). [CrossRef]   [PubMed]  

29. E. D. Palik, Handbook of Optical Constants of Solids (Academic Press, 1998).

30. M. Ernst and R. Brendel, “Lambertian light trapping in thin crystalline macroporous Si layers,” Phys. Status Solidi Rapid Res. Lett. 8(3), 235–238 (2014). [CrossRef]  

31. A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181(3), 687–702 (2010). [CrossRef]  

References

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  1. P. Campbell and M. A. Green, “Light trapping properties of pyramidally textured surfaces,” J. Appl. Phys. 62(1), 243–249 (1987).
    [Crossref]
  2. Y. Chen, Z. Xu, M. R. Gartia, D. Whitlock, Y. Lian, and G. L. Liu, “Ultrahigh throughput silicon nanomanufacturing by simultaneous reactive ion synthesis and etching,” ACS Nano 5(10), 8002–8012 (2011).
    [Crossref] [PubMed]
  3. K. Q. Peng and S. T. Lee, “Silicon nanowires for photovoltaic solar energy conversion,” Adv. Mater. 23(2), 198–215 (2011).
    [Crossref] [PubMed]
  4. S. Koynov, M. S. Brandt, and M. Stutzmann, “Black nonreflecting silicon surfaces for solar cells,” Appl. Phys. Lett. 88(20), 203107 (2006).
    [Crossref]
  5. H. M. Branz, V. E. Yost, S. Ward, K. M. Jones, B. To, and P. Stradins, “Nanostructured black silicon and the optical reflectance of graded-density surfaces,” Appl. Phys. Lett. 94(23), 231121 (2009).
    [Crossref]
  6. M. Otto, M. Kroll, T. Käsebier, S. M. Lee, M. Putkonen, R. Salzer, P. T. Miclea, and R. B. Wehrspohn, “Conformal transparent conducting oxides on black silicon,” Adv. Mater. 22(44), 5035–5038 (2010).
    [Crossref] [PubMed]
  7. J. Oh, H.-C. Yuan, and H. M. Branz, “An 18.2%-efficient black-silicon solar cell achieved through control of carrier recombination in nanostructures,” Nat. Nanotechnol. 7(11), 743–748 (2012).
    [Crossref] [PubMed]
  8. L. Sainiemi, V. Jokinen, A. Shah, M. Shpak, S. Aura, P. Suvanto, and S. Franssila, “Non-Reflecting Silicon and Polymer Surfaces by Plasma Etching and Replication,” Adv. Mater. 23(1), 122–126 (2011).
    [Crossref] [PubMed]
  9. M. Steglich, D. Lehr, S. Ratzsch, T. Käsebier, F. Schrempel, E.-B. Kley, and A. Tünnermann, “An ultra-black silicon absorber,” Laser Photonics Rev. 8(2), L13–L17 (2014).
    [Crossref]
  10. M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
    [Crossref]
  11. X. Liu, P. R. Coxon, M. Peters, B. Hoex, J. M. Cole, and D. J. Fray, “Black silicon: fabrication methods, properties and solar energy applications,” Energy Environ. Sci. 7(10), 3223–3263 (2014).
    [Crossref]
  12. L. Hu and G. Chen, “Analysis of optical absorption in silicon nanowire arrays for photovoltaic applications,” Nano Lett. 7(11), 3249–3252 (2007).
    [Crossref] [PubMed]
  13. C. Lin and M. L. Povinelli, “Optical absorption enhancement in silicon nanowire arrays with a large lattice constant for photovoltaic applications,” Opt. Express 17(22), 19371–19381 (2009).
    [Crossref] [PubMed]
  14. S. E. Han and G. Chen, “Optical absorption enhancement in silicon nanohole arrays for solar photovoltaics,” Nano Lett. 10(3), 1012–1015 (2010).
    [Crossref] [PubMed]
  15. Z. Xiong, F. Zhao, J. Yang, and X. Hu, “Comparison of optical absorption in Si nanowire and nanoporous Si structures for photovoltaic applications,” Appl. Phys. Lett. 96(18), 181903 (2010).
    [Crossref]
  16. E. Garnett and P. Yang, “Light trapping in silicon nanowire solar cells,” Nano Lett. 10(3), 1082–1087 (2010).
    [Crossref] [PubMed]
  17. F. Wang, H. Yu, J. Li, X. Sun, X. Wang, and H. Zheng, “Optical absorption enhancement in nanopore textured-silicon thin film for photovoltaic application,” Opt. Lett. 35(1), 40–42 (2010).
    [Crossref] [PubMed]
  18. K. X. Wang, Z. Yu, V. Liu, Y. Cui, and S. Fan, “Absorption enhancement in ultrathin crystalline silicon solar cells with antireflection and light-trapping nanocone gratings,” Nano Lett. 12(3), 1616–1619 (2012).
    [Crossref] [PubMed]
  19. S. Wang, B. D. Weil, Y. Li, K. X. Wang, E. Garnett, S. Fan, and Y. Cui, “Large-area free-standing ultrathin single-crystal silicon as processable materials,” Nano Lett. 13(9), 4393–4398 (2013).
    [Crossref] [PubMed]
  20. S. Jeong, M. D. McGehee, and Y. Cui, “All-back-contact ultra-thin silicon nanocone solar cells with 13.7% power conversion efficiency,” Nat. Commun. 4, 2950 (2013).
    [Crossref] [PubMed]
  21. M. S. Branham, W. C. Hsu, S. Yerci, J. Loomis, S. V. Boriskina, B. R. Hoard, S. E. Han, and G. Chen, “15.7% Efficient 10 μm Thick Crystalline Silicon Solar Cells Using Periodic Nanostructures,” Adv. Mater. 27, 849–855 (2015).
    [PubMed]
  22. V. Lehmann, R. Stengl, H. Wendt, W. Hoenlein, and J. Willer, “Method for manufacturing a solar cell from a substrate wafer,” US Patent 5306647 (1994).
  23. M. Ernst and R. Brendel, “Macroporous silicon solar cells with an epitaxial emitter,” IEEE J. Photovolt. 3, 723–729 (2013).
  24. M. Ernst, R. Brendel, R. Ferré, and N. P. Harder, “Thin macroporous silicon heterojunction solar cells,” Phys. Status Solidi Rapid Res. Lett. 6(5), 187–189 (2012).
    [Crossref]
  25. X. Ao, X. Tong, D. S. Kim, L. Zhang, M. Knez, F. Müller, S. He, and V. Schmidt, “Black silicon with controllable macropore array for enhanced photoelectrochemical performance,” Appl. Phys. Lett. 101(11), 111901 (2012).
    [Crossref]
  26. K. Q. Peng, A. Lu, R. Zhang, and S. T. Lee, “Motility of metal nanoparticles in silicon and induced anisotropic silicon etching,” Adv. Funct. Mater. 18(19), 3026–3035 (2008).
    [Crossref]
  27. B. M. Kayes, H. A. Atwater, and N. S. Lewis, “Comparison of the device physics principles of planar and radial pn junction nanorod solar cells,” J. Appl. Phys. 97(11), 114302 (2005).
    [Crossref]
  28. K. Q. Peng, X. Wang, X. L. Wu, and S. T. Lee, “Platinum nanoparticle decorated silicon nanowires for efficient solar energy conversion,” Nano Lett. 9(11), 3704–3709 (2009).
    [Crossref] [PubMed]
  29. E. D. Palik, Handbook of Optical Constants of Solids (Academic Press, 1998).
  30. M. Ernst and R. Brendel, “Lambertian light trapping in thin crystalline macroporous Si layers,” Phys. Status Solidi Rapid Res. Lett. 8(3), 235–238 (2014).
    [Crossref]
  31. A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181(3), 687–702 (2010).
    [Crossref]

2015 (2)

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

M. S. Branham, W. C. Hsu, S. Yerci, J. Loomis, S. V. Boriskina, B. R. Hoard, S. E. Han, and G. Chen, “15.7% Efficient 10 μm Thick Crystalline Silicon Solar Cells Using Periodic Nanostructures,” Adv. Mater. 27, 849–855 (2015).
[PubMed]

2014 (3)

M. Ernst and R. Brendel, “Lambertian light trapping in thin crystalline macroporous Si layers,” Phys. Status Solidi Rapid Res. Lett. 8(3), 235–238 (2014).
[Crossref]

X. Liu, P. R. Coxon, M. Peters, B. Hoex, J. M. Cole, and D. J. Fray, “Black silicon: fabrication methods, properties and solar energy applications,” Energy Environ. Sci. 7(10), 3223–3263 (2014).
[Crossref]

M. Steglich, D. Lehr, S. Ratzsch, T. Käsebier, F. Schrempel, E.-B. Kley, and A. Tünnermann, “An ultra-black silicon absorber,” Laser Photonics Rev. 8(2), L13–L17 (2014).
[Crossref]

2013 (3)

S. Wang, B. D. Weil, Y. Li, K. X. Wang, E. Garnett, S. Fan, and Y. Cui, “Large-area free-standing ultrathin single-crystal silicon as processable materials,” Nano Lett. 13(9), 4393–4398 (2013).
[Crossref] [PubMed]

S. Jeong, M. D. McGehee, and Y. Cui, “All-back-contact ultra-thin silicon nanocone solar cells with 13.7% power conversion efficiency,” Nat. Commun. 4, 2950 (2013).
[Crossref] [PubMed]

M. Ernst and R. Brendel, “Macroporous silicon solar cells with an epitaxial emitter,” IEEE J. Photovolt. 3, 723–729 (2013).

2012 (4)

M. Ernst, R. Brendel, R. Ferré, and N. P. Harder, “Thin macroporous silicon heterojunction solar cells,” Phys. Status Solidi Rapid Res. Lett. 6(5), 187–189 (2012).
[Crossref]

X. Ao, X. Tong, D. S. Kim, L. Zhang, M. Knez, F. Müller, S. He, and V. Schmidt, “Black silicon with controllable macropore array for enhanced photoelectrochemical performance,” Appl. Phys. Lett. 101(11), 111901 (2012).
[Crossref]

J. Oh, H.-C. Yuan, and H. M. Branz, “An 18.2%-efficient black-silicon solar cell achieved through control of carrier recombination in nanostructures,” Nat. Nanotechnol. 7(11), 743–748 (2012).
[Crossref] [PubMed]

K. X. Wang, Z. Yu, V. Liu, Y. Cui, and S. Fan, “Absorption enhancement in ultrathin crystalline silicon solar cells with antireflection and light-trapping nanocone gratings,” Nano Lett. 12(3), 1616–1619 (2012).
[Crossref] [PubMed]

2011 (3)

L. Sainiemi, V. Jokinen, A. Shah, M. Shpak, S. Aura, P. Suvanto, and S. Franssila, “Non-Reflecting Silicon and Polymer Surfaces by Plasma Etching and Replication,” Adv. Mater. 23(1), 122–126 (2011).
[Crossref] [PubMed]

Y. Chen, Z. Xu, M. R. Gartia, D. Whitlock, Y. Lian, and G. L. Liu, “Ultrahigh throughput silicon nanomanufacturing by simultaneous reactive ion synthesis and etching,” ACS Nano 5(10), 8002–8012 (2011).
[Crossref] [PubMed]

K. Q. Peng and S. T. Lee, “Silicon nanowires for photovoltaic solar energy conversion,” Adv. Mater. 23(2), 198–215 (2011).
[Crossref] [PubMed]

2010 (6)

M. Otto, M. Kroll, T. Käsebier, S. M. Lee, M. Putkonen, R. Salzer, P. T. Miclea, and R. B. Wehrspohn, “Conformal transparent conducting oxides on black silicon,” Adv. Mater. 22(44), 5035–5038 (2010).
[Crossref] [PubMed]

S. E. Han and G. Chen, “Optical absorption enhancement in silicon nanohole arrays for solar photovoltaics,” Nano Lett. 10(3), 1012–1015 (2010).
[Crossref] [PubMed]

Z. Xiong, F. Zhao, J. Yang, and X. Hu, “Comparison of optical absorption in Si nanowire and nanoporous Si structures for photovoltaic applications,” Appl. Phys. Lett. 96(18), 181903 (2010).
[Crossref]

E. Garnett and P. Yang, “Light trapping in silicon nanowire solar cells,” Nano Lett. 10(3), 1082–1087 (2010).
[Crossref] [PubMed]

F. Wang, H. Yu, J. Li, X. Sun, X. Wang, and H. Zheng, “Optical absorption enhancement in nanopore textured-silicon thin film for photovoltaic application,” Opt. Lett. 35(1), 40–42 (2010).
[Crossref] [PubMed]

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181(3), 687–702 (2010).
[Crossref]

2009 (3)

K. Q. Peng, X. Wang, X. L. Wu, and S. T. Lee, “Platinum nanoparticle decorated silicon nanowires for efficient solar energy conversion,” Nano Lett. 9(11), 3704–3709 (2009).
[Crossref] [PubMed]

C. Lin and M. L. Povinelli, “Optical absorption enhancement in silicon nanowire arrays with a large lattice constant for photovoltaic applications,” Opt. Express 17(22), 19371–19381 (2009).
[Crossref] [PubMed]

H. M. Branz, V. E. Yost, S. Ward, K. M. Jones, B. To, and P. Stradins, “Nanostructured black silicon and the optical reflectance of graded-density surfaces,” Appl. Phys. Lett. 94(23), 231121 (2009).
[Crossref]

2008 (1)

K. Q. Peng, A. Lu, R. Zhang, and S. T. Lee, “Motility of metal nanoparticles in silicon and induced anisotropic silicon etching,” Adv. Funct. Mater. 18(19), 3026–3035 (2008).
[Crossref]

2007 (1)

L. Hu and G. Chen, “Analysis of optical absorption in silicon nanowire arrays for photovoltaic applications,” Nano Lett. 7(11), 3249–3252 (2007).
[Crossref] [PubMed]

2006 (1)

S. Koynov, M. S. Brandt, and M. Stutzmann, “Black nonreflecting silicon surfaces for solar cells,” Appl. Phys. Lett. 88(20), 203107 (2006).
[Crossref]

2005 (1)

B. M. Kayes, H. A. Atwater, and N. S. Lewis, “Comparison of the device physics principles of planar and radial pn junction nanorod solar cells,” J. Appl. Phys. 97(11), 114302 (2005).
[Crossref]

1987 (1)

P. Campbell and M. A. Green, “Light trapping properties of pyramidally textured surfaces,” J. Appl. Phys. 62(1), 243–249 (1987).
[Crossref]

Algasinger, M.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

Ao, X.

X. Ao, X. Tong, D. S. Kim, L. Zhang, M. Knez, F. Müller, S. He, and V. Schmidt, “Black silicon with controllable macropore array for enhanced photoelectrochemical performance,” Appl. Phys. Lett. 101(11), 111901 (2012).
[Crossref]

Atwater, H. A.

B. M. Kayes, H. A. Atwater, and N. S. Lewis, “Comparison of the device physics principles of planar and radial pn junction nanorod solar cells,” J. Appl. Phys. 97(11), 114302 (2005).
[Crossref]

Aura, S.

L. Sainiemi, V. Jokinen, A. Shah, M. Shpak, S. Aura, P. Suvanto, and S. Franssila, “Non-Reflecting Silicon and Polymer Surfaces by Plasma Etching and Replication,” Adv. Mater. 23(1), 122–126 (2011).
[Crossref] [PubMed]

Bermel, P.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181(3), 687–702 (2010).
[Crossref]

Boriskina, S. V.

M. S. Branham, W. C. Hsu, S. Yerci, J. Loomis, S. V. Boriskina, B. R. Hoard, S. E. Han, and G. Chen, “15.7% Efficient 10 μm Thick Crystalline Silicon Solar Cells Using Periodic Nanostructures,” Adv. Mater. 27, 849–855 (2015).
[PubMed]

Brandt, M. S.

S. Koynov, M. S. Brandt, and M. Stutzmann, “Black nonreflecting silicon surfaces for solar cells,” Appl. Phys. Lett. 88(20), 203107 (2006).
[Crossref]

Branham, M. S.

M. S. Branham, W. C. Hsu, S. Yerci, J. Loomis, S. V. Boriskina, B. R. Hoard, S. E. Han, and G. Chen, “15.7% Efficient 10 μm Thick Crystalline Silicon Solar Cells Using Periodic Nanostructures,” Adv. Mater. 27, 849–855 (2015).
[PubMed]

Branz, H.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

Branz, H. M.

J. Oh, H.-C. Yuan, and H. M. Branz, “An 18.2%-efficient black-silicon solar cell achieved through control of carrier recombination in nanostructures,” Nat. Nanotechnol. 7(11), 743–748 (2012).
[Crossref] [PubMed]

H. M. Branz, V. E. Yost, S. Ward, K. M. Jones, B. To, and P. Stradins, “Nanostructured black silicon and the optical reflectance of graded-density surfaces,” Appl. Phys. Lett. 94(23), 231121 (2009).
[Crossref]

Brendel, R.

M. Ernst and R. Brendel, “Lambertian light trapping in thin crystalline macroporous Si layers,” Phys. Status Solidi Rapid Res. Lett. 8(3), 235–238 (2014).
[Crossref]

M. Ernst and R. Brendel, “Macroporous silicon solar cells with an epitaxial emitter,” IEEE J. Photovolt. 3, 723–729 (2013).

M. Ernst, R. Brendel, R. Ferré, and N. P. Harder, “Thin macroporous silicon heterojunction solar cells,” Phys. Status Solidi Rapid Res. Lett. 6(5), 187–189 (2012).
[Crossref]

Campbell, P.

P. Campbell and M. A. Green, “Light trapping properties of pyramidally textured surfaces,” J. Appl. Phys. 62(1), 243–249 (1987).
[Crossref]

Chen, G.

M. S. Branham, W. C. Hsu, S. Yerci, J. Loomis, S. V. Boriskina, B. R. Hoard, S. E. Han, and G. Chen, “15.7% Efficient 10 μm Thick Crystalline Silicon Solar Cells Using Periodic Nanostructures,” Adv. Mater. 27, 849–855 (2015).
[PubMed]

S. E. Han and G. Chen, “Optical absorption enhancement in silicon nanohole arrays for solar photovoltaics,” Nano Lett. 10(3), 1012–1015 (2010).
[Crossref] [PubMed]

L. Hu and G. Chen, “Analysis of optical absorption in silicon nanowire arrays for photovoltaic applications,” Nano Lett. 7(11), 3249–3252 (2007).
[Crossref] [PubMed]

Chen, Y.

Y. Chen, Z. Xu, M. R. Gartia, D. Whitlock, Y. Lian, and G. L. Liu, “Ultrahigh throughput silicon nanomanufacturing by simultaneous reactive ion synthesis and etching,” ACS Nano 5(10), 8002–8012 (2011).
[Crossref] [PubMed]

Cole, J. M.

X. Liu, P. R. Coxon, M. Peters, B. Hoex, J. M. Cole, and D. J. Fray, “Black silicon: fabrication methods, properties and solar energy applications,” Energy Environ. Sci. 7(10), 3223–3263 (2014).
[Crossref]

Coxon, P. R.

X. Liu, P. R. Coxon, M. Peters, B. Hoex, J. M. Cole, and D. J. Fray, “Black silicon: fabrication methods, properties and solar energy applications,” Energy Environ. Sci. 7(10), 3223–3263 (2014).
[Crossref]

Cui, Y.

S. Wang, B. D. Weil, Y. Li, K. X. Wang, E. Garnett, S. Fan, and Y. Cui, “Large-area free-standing ultrathin single-crystal silicon as processable materials,” Nano Lett. 13(9), 4393–4398 (2013).
[Crossref] [PubMed]

S. Jeong, M. D. McGehee, and Y. Cui, “All-back-contact ultra-thin silicon nanocone solar cells with 13.7% power conversion efficiency,” Nat. Commun. 4, 2950 (2013).
[Crossref] [PubMed]

K. X. Wang, Z. Yu, V. Liu, Y. Cui, and S. Fan, “Absorption enhancement in ultrathin crystalline silicon solar cells with antireflection and light-trapping nanocone gratings,” Nano Lett. 12(3), 1616–1619 (2012).
[Crossref] [PubMed]

Ernst, M.

M. Ernst and R. Brendel, “Lambertian light trapping in thin crystalline macroporous Si layers,” Phys. Status Solidi Rapid Res. Lett. 8(3), 235–238 (2014).
[Crossref]

M. Ernst and R. Brendel, “Macroporous silicon solar cells with an epitaxial emitter,” IEEE J. Photovolt. 3, 723–729 (2013).

M. Ernst, R. Brendel, R. Ferré, and N. P. Harder, “Thin macroporous silicon heterojunction solar cells,” Phys. Status Solidi Rapid Res. Lett. 6(5), 187–189 (2012).
[Crossref]

Fan, S.

S. Wang, B. D. Weil, Y. Li, K. X. Wang, E. Garnett, S. Fan, and Y. Cui, “Large-area free-standing ultrathin single-crystal silicon as processable materials,” Nano Lett. 13(9), 4393–4398 (2013).
[Crossref] [PubMed]

K. X. Wang, Z. Yu, V. Liu, Y. Cui, and S. Fan, “Absorption enhancement in ultrathin crystalline silicon solar cells with antireflection and light-trapping nanocone gratings,” Nano Lett. 12(3), 1616–1619 (2012).
[Crossref] [PubMed]

Ferré, R.

M. Ernst, R. Brendel, R. Ferré, and N. P. Harder, “Thin macroporous silicon heterojunction solar cells,” Phys. Status Solidi Rapid Res. Lett. 6(5), 187–189 (2012).
[Crossref]

Franssila, S.

L. Sainiemi, V. Jokinen, A. Shah, M. Shpak, S. Aura, P. Suvanto, and S. Franssila, “Non-Reflecting Silicon and Polymer Surfaces by Plasma Etching and Replication,” Adv. Mater. 23(1), 122–126 (2011).
[Crossref] [PubMed]

Fray, D. J.

X. Liu, P. R. Coxon, M. Peters, B. Hoex, J. M. Cole, and D. J. Fray, “Black silicon: fabrication methods, properties and solar energy applications,” Energy Environ. Sci. 7(10), 3223–3263 (2014).
[Crossref]

Füchsel, K.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

Garnett, E.

S. Wang, B. D. Weil, Y. Li, K. X. Wang, E. Garnett, S. Fan, and Y. Cui, “Large-area free-standing ultrathin single-crystal silicon as processable materials,” Nano Lett. 13(9), 4393–4398 (2013).
[Crossref] [PubMed]

E. Garnett and P. Yang, “Light trapping in silicon nanowire solar cells,” Nano Lett. 10(3), 1082–1087 (2010).
[Crossref] [PubMed]

Gartia, M. R.

Y. Chen, Z. Xu, M. R. Gartia, D. Whitlock, Y. Lian, and G. L. Liu, “Ultrahigh throughput silicon nanomanufacturing by simultaneous reactive ion synthesis and etching,” ACS Nano 5(10), 8002–8012 (2011).
[Crossref] [PubMed]

Gesemann, B.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

Gimpel, T.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

Green, M. A.

P. Campbell and M. A. Green, “Light trapping properties of pyramidally textured surfaces,” J. Appl. Phys. 62(1), 243–249 (1987).
[Crossref]

Han, S. E.

M. S. Branham, W. C. Hsu, S. Yerci, J. Loomis, S. V. Boriskina, B. R. Hoard, S. E. Han, and G. Chen, “15.7% Efficient 10 μm Thick Crystalline Silicon Solar Cells Using Periodic Nanostructures,” Adv. Mater. 27, 849–855 (2015).
[PubMed]

S. E. Han and G. Chen, “Optical absorption enhancement in silicon nanohole arrays for solar photovoltaics,” Nano Lett. 10(3), 1012–1015 (2010).
[Crossref] [PubMed]

Harder, N. P.

M. Ernst, R. Brendel, R. Ferré, and N. P. Harder, “Thin macroporous silicon heterojunction solar cells,” Phys. Status Solidi Rapid Res. Lett. 6(5), 187–189 (2012).
[Crossref]

He, S.

X. Ao, X. Tong, D. S. Kim, L. Zhang, M. Knez, F. Müller, S. He, and V. Schmidt, “Black silicon with controllable macropore array for enhanced photoelectrochemical performance,” Appl. Phys. Lett. 101(11), 111901 (2012).
[Crossref]

Hoard, B. R.

M. S. Branham, W. C. Hsu, S. Yerci, J. Loomis, S. V. Boriskina, B. R. Hoard, S. E. Han, and G. Chen, “15.7% Efficient 10 μm Thick Crystalline Silicon Solar Cells Using Periodic Nanostructures,” Adv. Mater. 27, 849–855 (2015).
[PubMed]

Hoex, B.

X. Liu, P. R. Coxon, M. Peters, B. Hoex, J. M. Cole, and D. J. Fray, “Black silicon: fabrication methods, properties and solar energy applications,” Energy Environ. Sci. 7(10), 3223–3263 (2014).
[Crossref]

Hsu, W. C.

M. S. Branham, W. C. Hsu, S. Yerci, J. Loomis, S. V. Boriskina, B. R. Hoard, S. E. Han, and G. Chen, “15.7% Efficient 10 μm Thick Crystalline Silicon Solar Cells Using Periodic Nanostructures,” Adv. Mater. 27, 849–855 (2015).
[PubMed]

Hu, L.

L. Hu and G. Chen, “Analysis of optical absorption in silicon nanowire arrays for photovoltaic applications,” Nano Lett. 7(11), 3249–3252 (2007).
[Crossref] [PubMed]

Hu, X.

Z. Xiong, F. Zhao, J. Yang, and X. Hu, “Comparison of optical absorption in Si nanowire and nanoporous Si structures for photovoltaic applications,” Appl. Phys. Lett. 96(18), 181903 (2010).
[Crossref]

Ibanescu, M.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181(3), 687–702 (2010).
[Crossref]

Jeong, S.

S. Jeong, M. D. McGehee, and Y. Cui, “All-back-contact ultra-thin silicon nanocone solar cells with 13.7% power conversion efficiency,” Nat. Commun. 4, 2950 (2013).
[Crossref] [PubMed]

Joannopoulos, J. D.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181(3), 687–702 (2010).
[Crossref]

Johnson, S. G.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181(3), 687–702 (2010).
[Crossref]

Jokinen, V.

L. Sainiemi, V. Jokinen, A. Shah, M. Shpak, S. Aura, P. Suvanto, and S. Franssila, “Non-Reflecting Silicon and Polymer Surfaces by Plasma Etching and Replication,” Adv. Mater. 23(1), 122–126 (2011).
[Crossref] [PubMed]

Jones, K. M.

H. M. Branz, V. E. Yost, S. Ward, K. M. Jones, B. To, and P. Stradins, “Nanostructured black silicon and the optical reflectance of graded-density surfaces,” Appl. Phys. Lett. 94(23), 231121 (2009).
[Crossref]

Käsebier, T.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

M. Steglich, D. Lehr, S. Ratzsch, T. Käsebier, F. Schrempel, E.-B. Kley, and A. Tünnermann, “An ultra-black silicon absorber,” Laser Photonics Rev. 8(2), L13–L17 (2014).
[Crossref]

M. Otto, M. Kroll, T. Käsebier, S. M. Lee, M. Putkonen, R. Salzer, P. T. Miclea, and R. B. Wehrspohn, “Conformal transparent conducting oxides on black silicon,” Adv. Mater. 22(44), 5035–5038 (2010).
[Crossref] [PubMed]

Kayes, B. M.

B. M. Kayes, H. A. Atwater, and N. S. Lewis, “Comparison of the device physics principles of planar and radial pn junction nanorod solar cells,” J. Appl. Phys. 97(11), 114302 (2005).
[Crossref]

Kim, D. S.

X. Ao, X. Tong, D. S. Kim, L. Zhang, M. Knez, F. Müller, S. He, and V. Schmidt, “Black silicon with controllable macropore array for enhanced photoelectrochemical performance,” Appl. Phys. Lett. 101(11), 111901 (2012).
[Crossref]

Kley, E.-B.

M. Steglich, D. Lehr, S. Ratzsch, T. Käsebier, F. Schrempel, E.-B. Kley, and A. Tünnermann, “An ultra-black silicon absorber,” Laser Photonics Rev. 8(2), L13–L17 (2014).
[Crossref]

Knez, M.

X. Ao, X. Tong, D. S. Kim, L. Zhang, M. Knez, F. Müller, S. He, and V. Schmidt, “Black silicon with controllable macropore array for enhanced photoelectrochemical performance,” Appl. Phys. Lett. 101(11), 111901 (2012).
[Crossref]

Kontermann, S.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

Koynov, S.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

S. Koynov, M. S. Brandt, and M. Stutzmann, “Black nonreflecting silicon surfaces for solar cells,” Appl. Phys. Lett. 88(20), 203107 (2006).
[Crossref]

Kroll, M.

M. Otto, M. Kroll, T. Käsebier, S. M. Lee, M. Putkonen, R. Salzer, P. T. Miclea, and R. B. Wehrspohn, “Conformal transparent conducting oxides on black silicon,” Adv. Mater. 22(44), 5035–5038 (2010).
[Crossref] [PubMed]

Lee, S. M.

M. Otto, M. Kroll, T. Käsebier, S. M. Lee, M. Putkonen, R. Salzer, P. T. Miclea, and R. B. Wehrspohn, “Conformal transparent conducting oxides on black silicon,” Adv. Mater. 22(44), 5035–5038 (2010).
[Crossref] [PubMed]

Lee, S. T.

K. Q. Peng and S. T. Lee, “Silicon nanowires for photovoltaic solar energy conversion,” Adv. Mater. 23(2), 198–215 (2011).
[Crossref] [PubMed]

K. Q. Peng, X. Wang, X. L. Wu, and S. T. Lee, “Platinum nanoparticle decorated silicon nanowires for efficient solar energy conversion,” Nano Lett. 9(11), 3704–3709 (2009).
[Crossref] [PubMed]

K. Q. Peng, A. Lu, R. Zhang, and S. T. Lee, “Motility of metal nanoparticles in silicon and induced anisotropic silicon etching,” Adv. Funct. Mater. 18(19), 3026–3035 (2008).
[Crossref]

Lehr, D.

M. Steglich, D. Lehr, S. Ratzsch, T. Käsebier, F. Schrempel, E.-B. Kley, and A. Tünnermann, “An ultra-black silicon absorber,” Laser Photonics Rev. 8(2), L13–L17 (2014).
[Crossref]

Lewis, N. S.

B. M. Kayes, H. A. Atwater, and N. S. Lewis, “Comparison of the device physics principles of planar and radial pn junction nanorod solar cells,” J. Appl. Phys. 97(11), 114302 (2005).
[Crossref]

Li, J.

Li, X.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

Li, Y.

S. Wang, B. D. Weil, Y. Li, K. X. Wang, E. Garnett, S. Fan, and Y. Cui, “Large-area free-standing ultrathin single-crystal silicon as processable materials,” Nano Lett. 13(9), 4393–4398 (2013).
[Crossref] [PubMed]

Lian, Y.

Y. Chen, Z. Xu, M. R. Gartia, D. Whitlock, Y. Lian, and G. L. Liu, “Ultrahigh throughput silicon nanomanufacturing by simultaneous reactive ion synthesis and etching,” ACS Nano 5(10), 8002–8012 (2011).
[Crossref] [PubMed]

Lin, C.

Liu, G. L.

Y. Chen, Z. Xu, M. R. Gartia, D. Whitlock, Y. Lian, and G. L. Liu, “Ultrahigh throughput silicon nanomanufacturing by simultaneous reactive ion synthesis and etching,” ACS Nano 5(10), 8002–8012 (2011).
[Crossref] [PubMed]

Liu, V.

K. X. Wang, Z. Yu, V. Liu, Y. Cui, and S. Fan, “Absorption enhancement in ultrathin crystalline silicon solar cells with antireflection and light-trapping nanocone gratings,” Nano Lett. 12(3), 1616–1619 (2012).
[Crossref] [PubMed]

Liu, X.

X. Liu, P. R. Coxon, M. Peters, B. Hoex, J. M. Cole, and D. J. Fray, “Black silicon: fabrication methods, properties and solar energy applications,” Energy Environ. Sci. 7(10), 3223–3263 (2014).
[Crossref]

Loomis, J.

M. S. Branham, W. C. Hsu, S. Yerci, J. Loomis, S. V. Boriskina, B. R. Hoard, S. E. Han, and G. Chen, “15.7% Efficient 10 μm Thick Crystalline Silicon Solar Cells Using Periodic Nanostructures,” Adv. Mater. 27, 849–855 (2015).
[PubMed]

Lu, A.

K. Q. Peng, A. Lu, R. Zhang, and S. T. Lee, “Motility of metal nanoparticles in silicon and induced anisotropic silicon etching,” Adv. Funct. Mater. 18(19), 3026–3035 (2008).
[Crossref]

McGehee, M. D.

S. Jeong, M. D. McGehee, and Y. Cui, “All-back-contact ultra-thin silicon nanocone solar cells with 13.7% power conversion efficiency,” Nat. Commun. 4, 2950 (2013).
[Crossref] [PubMed]

Miclea, P. T.

M. Otto, M. Kroll, T. Käsebier, S. M. Lee, M. Putkonen, R. Salzer, P. T. Miclea, and R. B. Wehrspohn, “Conformal transparent conducting oxides on black silicon,” Adv. Mater. 22(44), 5035–5038 (2010).
[Crossref] [PubMed]

Müller, F.

X. Ao, X. Tong, D. S. Kim, L. Zhang, M. Knez, F. Müller, S. He, and V. Schmidt, “Black silicon with controllable macropore array for enhanced photoelectrochemical performance,” Appl. Phys. Lett. 101(11), 111901 (2012).
[Crossref]

Naumann, V.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

Oh, J.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

J. Oh, H.-C. Yuan, and H. M. Branz, “An 18.2%-efficient black-silicon solar cell achieved through control of carrier recombination in nanostructures,” Nat. Nanotechnol. 7(11), 743–748 (2012).
[Crossref] [PubMed]

Oskooi, A. F.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181(3), 687–702 (2010).
[Crossref]

Otto, M.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

M. Otto, M. Kroll, T. Käsebier, S. M. Lee, M. Putkonen, R. Salzer, P. T. Miclea, and R. B. Wehrspohn, “Conformal transparent conducting oxides on black silicon,” Adv. Mater. 22(44), 5035–5038 (2010).
[Crossref] [PubMed]

Peng, K. Q.

K. Q. Peng and S. T. Lee, “Silicon nanowires for photovoltaic solar energy conversion,” Adv. Mater. 23(2), 198–215 (2011).
[Crossref] [PubMed]

K. Q. Peng, X. Wang, X. L. Wu, and S. T. Lee, “Platinum nanoparticle decorated silicon nanowires for efficient solar energy conversion,” Nano Lett. 9(11), 3704–3709 (2009).
[Crossref] [PubMed]

K. Q. Peng, A. Lu, R. Zhang, and S. T. Lee, “Motility of metal nanoparticles in silicon and induced anisotropic silicon etching,” Adv. Funct. Mater. 18(19), 3026–3035 (2008).
[Crossref]

Peters, M.

X. Liu, P. R. Coxon, M. Peters, B. Hoex, J. M. Cole, and D. J. Fray, “Black silicon: fabrication methods, properties and solar energy applications,” Energy Environ. Sci. 7(10), 3223–3263 (2014).
[Crossref]

Povinelli, M. L.

Putkonen, M.

M. Otto, M. Kroll, T. Käsebier, S. M. Lee, M. Putkonen, R. Salzer, P. T. Miclea, and R. B. Wehrspohn, “Conformal transparent conducting oxides on black silicon,” Adv. Mater. 22(44), 5035–5038 (2010).
[Crossref] [PubMed]

Ratzsch, S.

M. Steglich, D. Lehr, S. Ratzsch, T. Käsebier, F. Schrempel, E.-B. Kley, and A. Tünnermann, “An ultra-black silicon absorber,” Laser Photonics Rev. 8(2), L13–L17 (2014).
[Crossref]

Roundy, D.

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181(3), 687–702 (2010).
[Crossref]

Sainiemi, L.

L. Sainiemi, V. Jokinen, A. Shah, M. Shpak, S. Aura, P. Suvanto, and S. Franssila, “Non-Reflecting Silicon and Polymer Surfaces by Plasma Etching and Replication,” Adv. Mater. 23(1), 122–126 (2011).
[Crossref] [PubMed]

Salzer, R.

M. Otto, M. Kroll, T. Käsebier, S. M. Lee, M. Putkonen, R. Salzer, P. T. Miclea, and R. B. Wehrspohn, “Conformal transparent conducting oxides on black silicon,” Adv. Mater. 22(44), 5035–5038 (2010).
[Crossref] [PubMed]

Schmidt, V.

X. Ao, X. Tong, D. S. Kim, L. Zhang, M. Knez, F. Müller, S. He, and V. Schmidt, “Black silicon with controllable macropore array for enhanced photoelectrochemical performance,” Appl. Phys. Lett. 101(11), 111901 (2012).
[Crossref]

Schrempel, F.

M. Steglich, D. Lehr, S. Ratzsch, T. Käsebier, F. Schrempel, E.-B. Kley, and A. Tünnermann, “An ultra-black silicon absorber,” Laser Photonics Rev. 8(2), L13–L17 (2014).
[Crossref]

Shah, A.

L. Sainiemi, V. Jokinen, A. Shah, M. Shpak, S. Aura, P. Suvanto, and S. Franssila, “Non-Reflecting Silicon and Polymer Surfaces by Plasma Etching and Replication,” Adv. Mater. 23(1), 122–126 (2011).
[Crossref] [PubMed]

Shpak, M.

L. Sainiemi, V. Jokinen, A. Shah, M. Shpak, S. Aura, P. Suvanto, and S. Franssila, “Non-Reflecting Silicon and Polymer Surfaces by Plasma Etching and Replication,” Adv. Mater. 23(1), 122–126 (2011).
[Crossref] [PubMed]

Sprafke, A. N.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

Steglich, M.

M. Steglich, D. Lehr, S. Ratzsch, T. Käsebier, F. Schrempel, E.-B. Kley, and A. Tünnermann, “An ultra-black silicon absorber,” Laser Photonics Rev. 8(2), L13–L17 (2014).
[Crossref]

Stradins, P.

H. M. Branz, V. E. Yost, S. Ward, K. M. Jones, B. To, and P. Stradins, “Nanostructured black silicon and the optical reflectance of graded-density surfaces,” Appl. Phys. Lett. 94(23), 231121 (2009).
[Crossref]

Stutzmann, M.

S. Koynov, M. S. Brandt, and M. Stutzmann, “Black nonreflecting silicon surfaces for solar cells,” Appl. Phys. Lett. 88(20), 203107 (2006).
[Crossref]

Sun, X.

Suvanto, P.

L. Sainiemi, V. Jokinen, A. Shah, M. Shpak, S. Aura, P. Suvanto, and S. Franssila, “Non-Reflecting Silicon and Polymer Surfaces by Plasma Etching and Replication,” Adv. Mater. 23(1), 122–126 (2011).
[Crossref] [PubMed]

To, B.

H. M. Branz, V. E. Yost, S. Ward, K. M. Jones, B. To, and P. Stradins, “Nanostructured black silicon and the optical reflectance of graded-density surfaces,” Appl. Phys. Lett. 94(23), 231121 (2009).
[Crossref]

Tong, X.

X. Ao, X. Tong, D. S. Kim, L. Zhang, M. Knez, F. Müller, S. He, and V. Schmidt, “Black silicon with controllable macropore array for enhanced photoelectrochemical performance,” Appl. Phys. Lett. 101(11), 111901 (2012).
[Crossref]

Tünnermann, A.

M. Steglich, D. Lehr, S. Ratzsch, T. Käsebier, F. Schrempel, E.-B. Kley, and A. Tünnermann, “An ultra-black silicon absorber,” Laser Photonics Rev. 8(2), L13–L17 (2014).
[Crossref]

Wang, F.

Wang, K. X.

S. Wang, B. D. Weil, Y. Li, K. X. Wang, E. Garnett, S. Fan, and Y. Cui, “Large-area free-standing ultrathin single-crystal silicon as processable materials,” Nano Lett. 13(9), 4393–4398 (2013).
[Crossref] [PubMed]

K. X. Wang, Z. Yu, V. Liu, Y. Cui, and S. Fan, “Absorption enhancement in ultrathin crystalline silicon solar cells with antireflection and light-trapping nanocone gratings,” Nano Lett. 12(3), 1616–1619 (2012).
[Crossref] [PubMed]

Wang, S.

S. Wang, B. D. Weil, Y. Li, K. X. Wang, E. Garnett, S. Fan, and Y. Cui, “Large-area free-standing ultrathin single-crystal silicon as processable materials,” Nano Lett. 13(9), 4393–4398 (2013).
[Crossref] [PubMed]

Wang, X.

F. Wang, H. Yu, J. Li, X. Sun, X. Wang, and H. Zheng, “Optical absorption enhancement in nanopore textured-silicon thin film for photovoltaic application,” Opt. Lett. 35(1), 40–42 (2010).
[Crossref] [PubMed]

K. Q. Peng, X. Wang, X. L. Wu, and S. T. Lee, “Platinum nanoparticle decorated silicon nanowires for efficient solar energy conversion,” Nano Lett. 9(11), 3704–3709 (2009).
[Crossref] [PubMed]

Ward, S.

H. M. Branz, V. E. Yost, S. Ward, K. M. Jones, B. To, and P. Stradins, “Nanostructured black silicon and the optical reflectance of graded-density surfaces,” Appl. Phys. Lett. 94(23), 231121 (2009).
[Crossref]

Wehrspohn, R. B.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

M. Otto, M. Kroll, T. Käsebier, S. M. Lee, M. Putkonen, R. Salzer, P. T. Miclea, and R. B. Wehrspohn, “Conformal transparent conducting oxides on black silicon,” Adv. Mater. 22(44), 5035–5038 (2010).
[Crossref] [PubMed]

Weil, B. D.

S. Wang, B. D. Weil, Y. Li, K. X. Wang, E. Garnett, S. Fan, and Y. Cui, “Large-area free-standing ultrathin single-crystal silicon as processable materials,” Nano Lett. 13(9), 4393–4398 (2013).
[Crossref] [PubMed]

Whitlock, D.

Y. Chen, Z. Xu, M. R. Gartia, D. Whitlock, Y. Lian, and G. L. Liu, “Ultrahigh throughput silicon nanomanufacturing by simultaneous reactive ion synthesis and etching,” ACS Nano 5(10), 8002–8012 (2011).
[Crossref] [PubMed]

Wu, X. L.

K. Q. Peng, X. Wang, X. L. Wu, and S. T. Lee, “Platinum nanoparticle decorated silicon nanowires for efficient solar energy conversion,” Nano Lett. 9(11), 3704–3709 (2009).
[Crossref] [PubMed]

Xiong, Z.

Z. Xiong, F. Zhao, J. Yang, and X. Hu, “Comparison of optical absorption in Si nanowire and nanoporous Si structures for photovoltaic applications,” Appl. Phys. Lett. 96(18), 181903 (2010).
[Crossref]

Xu, Z.

Y. Chen, Z. Xu, M. R. Gartia, D. Whitlock, Y. Lian, and G. L. Liu, “Ultrahigh throughput silicon nanomanufacturing by simultaneous reactive ion synthesis and etching,” ACS Nano 5(10), 8002–8012 (2011).
[Crossref] [PubMed]

Yang, J.

Z. Xiong, F. Zhao, J. Yang, and X. Hu, “Comparison of optical absorption in Si nanowire and nanoporous Si structures for photovoltaic applications,” Appl. Phys. Lett. 96(18), 181903 (2010).
[Crossref]

Yang, P.

E. Garnett and P. Yang, “Light trapping in silicon nanowire solar cells,” Nano Lett. 10(3), 1082–1087 (2010).
[Crossref] [PubMed]

Yerci, S.

M. S. Branham, W. C. Hsu, S. Yerci, J. Loomis, S. V. Boriskina, B. R. Hoard, S. E. Han, and G. Chen, “15.7% Efficient 10 μm Thick Crystalline Silicon Solar Cells Using Periodic Nanostructures,” Adv. Mater. 27, 849–855 (2015).
[PubMed]

Yost, V. E.

H. M. Branz, V. E. Yost, S. Ward, K. M. Jones, B. To, and P. Stradins, “Nanostructured black silicon and the optical reflectance of graded-density surfaces,” Appl. Phys. Lett. 94(23), 231121 (2009).
[Crossref]

Yu, H.

Yu, Z.

K. X. Wang, Z. Yu, V. Liu, Y. Cui, and S. Fan, “Absorption enhancement in ultrathin crystalline silicon solar cells with antireflection and light-trapping nanocone gratings,” Nano Lett. 12(3), 1616–1619 (2012).
[Crossref] [PubMed]

Yuan, H.-C.

J. Oh, H.-C. Yuan, and H. M. Branz, “An 18.2%-efficient black-silicon solar cell achieved through control of carrier recombination in nanostructures,” Nat. Nanotechnol. 7(11), 743–748 (2012).
[Crossref] [PubMed]

Zhang, L.

X. Ao, X. Tong, D. S. Kim, L. Zhang, M. Knez, F. Müller, S. He, and V. Schmidt, “Black silicon with controllable macropore array for enhanced photoelectrochemical performance,” Appl. Phys. Lett. 101(11), 111901 (2012).
[Crossref]

Zhang, R.

K. Q. Peng, A. Lu, R. Zhang, and S. T. Lee, “Motility of metal nanoparticles in silicon and induced anisotropic silicon etching,” Adv. Funct. Mater. 18(19), 3026–3035 (2008).
[Crossref]

Zhao, F.

Z. Xiong, F. Zhao, J. Yang, and X. Hu, “Comparison of optical absorption in Si nanowire and nanoporous Si structures for photovoltaic applications,” Appl. Phys. Lett. 96(18), 181903 (2010).
[Crossref]

Zheng, H.

Ziegler, J.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

Zilk, M.

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

ACS Nano (1)

Y. Chen, Z. Xu, M. R. Gartia, D. Whitlock, Y. Lian, and G. L. Liu, “Ultrahigh throughput silicon nanomanufacturing by simultaneous reactive ion synthesis and etching,” ACS Nano 5(10), 8002–8012 (2011).
[Crossref] [PubMed]

Adv. Funct. Mater. (1)

K. Q. Peng, A. Lu, R. Zhang, and S. T. Lee, “Motility of metal nanoparticles in silicon and induced anisotropic silicon etching,” Adv. Funct. Mater. 18(19), 3026–3035 (2008).
[Crossref]

Adv. Mater. (4)

M. S. Branham, W. C. Hsu, S. Yerci, J. Loomis, S. V. Boriskina, B. R. Hoard, S. E. Han, and G. Chen, “15.7% Efficient 10 μm Thick Crystalline Silicon Solar Cells Using Periodic Nanostructures,” Adv. Mater. 27, 849–855 (2015).
[PubMed]

K. Q. Peng and S. T. Lee, “Silicon nanowires for photovoltaic solar energy conversion,” Adv. Mater. 23(2), 198–215 (2011).
[Crossref] [PubMed]

M. Otto, M. Kroll, T. Käsebier, S. M. Lee, M. Putkonen, R. Salzer, P. T. Miclea, and R. B. Wehrspohn, “Conformal transparent conducting oxides on black silicon,” Adv. Mater. 22(44), 5035–5038 (2010).
[Crossref] [PubMed]

L. Sainiemi, V. Jokinen, A. Shah, M. Shpak, S. Aura, P. Suvanto, and S. Franssila, “Non-Reflecting Silicon and Polymer Surfaces by Plasma Etching and Replication,” Adv. Mater. 23(1), 122–126 (2011).
[Crossref] [PubMed]

Adv. Optical Mater. (1)

M. Otto, M. Algasinger, H. Branz, B. Gesemann, T. Gimpel, K. Füchsel, T. Käsebier, S. Kontermann, S. Koynov, X. Li, V. Naumann, J. Oh, A. N. Sprafke, J. Ziegler, M. Zilk, and R. B. Wehrspohn, “Black Silicon Photovoltaics,” Adv. Optical Mater. 3(2), 147–164 (2015).
[Crossref]

Appl. Phys. Lett. (4)

Z. Xiong, F. Zhao, J. Yang, and X. Hu, “Comparison of optical absorption in Si nanowire and nanoporous Si structures for photovoltaic applications,” Appl. Phys. Lett. 96(18), 181903 (2010).
[Crossref]

S. Koynov, M. S. Brandt, and M. Stutzmann, “Black nonreflecting silicon surfaces for solar cells,” Appl. Phys. Lett. 88(20), 203107 (2006).
[Crossref]

H. M. Branz, V. E. Yost, S. Ward, K. M. Jones, B. To, and P. Stradins, “Nanostructured black silicon and the optical reflectance of graded-density surfaces,” Appl. Phys. Lett. 94(23), 231121 (2009).
[Crossref]

X. Ao, X. Tong, D. S. Kim, L. Zhang, M. Knez, F. Müller, S. He, and V. Schmidt, “Black silicon with controllable macropore array for enhanced photoelectrochemical performance,” Appl. Phys. Lett. 101(11), 111901 (2012).
[Crossref]

Comput. Phys. Commun. (1)

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comput. Phys. Commun. 181(3), 687–702 (2010).
[Crossref]

Energy Environ. Sci. (1)

X. Liu, P. R. Coxon, M. Peters, B. Hoex, J. M. Cole, and D. J. Fray, “Black silicon: fabrication methods, properties and solar energy applications,” Energy Environ. Sci. 7(10), 3223–3263 (2014).
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IEEE J. Photovolt. (1)

M. Ernst and R. Brendel, “Macroporous silicon solar cells with an epitaxial emitter,” IEEE J. Photovolt. 3, 723–729 (2013).

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B. M. Kayes, H. A. Atwater, and N. S. Lewis, “Comparison of the device physics principles of planar and radial pn junction nanorod solar cells,” J. Appl. Phys. 97(11), 114302 (2005).
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P. Campbell and M. A. Green, “Light trapping properties of pyramidally textured surfaces,” J. Appl. Phys. 62(1), 243–249 (1987).
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Laser Photonics Rev. (1)

M. Steglich, D. Lehr, S. Ratzsch, T. Käsebier, F. Schrempel, E.-B. Kley, and A. Tünnermann, “An ultra-black silicon absorber,” Laser Photonics Rev. 8(2), L13–L17 (2014).
[Crossref]

Nano Lett. (6)

S. E. Han and G. Chen, “Optical absorption enhancement in silicon nanohole arrays for solar photovoltaics,” Nano Lett. 10(3), 1012–1015 (2010).
[Crossref] [PubMed]

E. Garnett and P. Yang, “Light trapping in silicon nanowire solar cells,” Nano Lett. 10(3), 1082–1087 (2010).
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L. Hu and G. Chen, “Analysis of optical absorption in silicon nanowire arrays for photovoltaic applications,” Nano Lett. 7(11), 3249–3252 (2007).
[Crossref] [PubMed]

K. Q. Peng, X. Wang, X. L. Wu, and S. T. Lee, “Platinum nanoparticle decorated silicon nanowires for efficient solar energy conversion,” Nano Lett. 9(11), 3704–3709 (2009).
[Crossref] [PubMed]

K. X. Wang, Z. Yu, V. Liu, Y. Cui, and S. Fan, “Absorption enhancement in ultrathin crystalline silicon solar cells with antireflection and light-trapping nanocone gratings,” Nano Lett. 12(3), 1616–1619 (2012).
[Crossref] [PubMed]

S. Wang, B. D. Weil, Y. Li, K. X. Wang, E. Garnett, S. Fan, and Y. Cui, “Large-area free-standing ultrathin single-crystal silicon as processable materials,” Nano Lett. 13(9), 4393–4398 (2013).
[Crossref] [PubMed]

Nat. Commun. (1)

S. Jeong, M. D. McGehee, and Y. Cui, “All-back-contact ultra-thin silicon nanocone solar cells with 13.7% power conversion efficiency,” Nat. Commun. 4, 2950 (2013).
[Crossref] [PubMed]

Nat. Nanotechnol. (1)

J. Oh, H.-C. Yuan, and H. M. Branz, “An 18.2%-efficient black-silicon solar cell achieved through control of carrier recombination in nanostructures,” Nat. Nanotechnol. 7(11), 743–748 (2012).
[Crossref] [PubMed]

Opt. Express (1)

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Phys. Status Solidi Rapid Res. Lett. (2)

M. Ernst, R. Brendel, R. Ferré, and N. P. Harder, “Thin macroporous silicon heterojunction solar cells,” Phys. Status Solidi Rapid Res. Lett. 6(5), 187–189 (2012).
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M. Ernst and R. Brendel, “Lambertian light trapping in thin crystalline macroporous Si layers,” Phys. Status Solidi Rapid Res. Lett. 8(3), 235–238 (2014).
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Other (2)

V. Lehmann, R. Stengl, H. Wendt, W. Hoenlein, and J. Willer, “Method for manufacturing a solar cell from a substrate wafer,” US Patent 5306647 (1994).

E. D. Palik, Handbook of Optical Constants of Solids (Academic Press, 1998).

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Figures (5)

Fig. 1
Fig. 1 Cross-sectional SEM images of (a) macroporous black silicon and (b) silicon nanowires. The etch depth is around 17 μm for both cases.
Fig. 2
Fig. 2 (a,b) Reflectance, transmittance, and absorptance (A = 1 - R - T) spectra for a planar silicon, silicon nanowires, and macroporous black silicon. (c) Lifetime of minority carriers of the planar silicon, silicon nanowires, and macroporous black silicon.
Fig. 3
Fig. 3 (a) Photocurrent densities versus voltage (J - V curves) for PEC cells of the planar silicon, silicon nanowires, and macroporous black silicon. (b) IPCE spectra of the planar silicon, silicon nanowires, and macroporous black silicon. (c) The transmittance spectrum of Br2/HBr electrolyte in a quartz cuvette of 1 mm thick. The shorter cut-off wavelength in (c) than in (b) is due to the smaller thickness of the electrolyte in (c).
Fig. 4
Fig. 4 (a) Schematic illustration of the detachment of a macroporous black silicon film from the silicon substrate. (b) Cross-sectional SEM image of a black macroporous silicon film. (c) Absorptance spectrum of the macroporous black silicon film and the Yablonovitch limit of an equivalent solid silicon film.
Fig. 5
Fig. 5 (a) Schematic drawing of a macroporous black silicon film, consisting of truncated cones and ellipsoids of air in a silicon film of thickness 8.25 μm (the dimensions are shown in the axial cross section on the right). The pore shape is chosen to mimic an experimentally realized structure shown in (b). (b) Cross-sectional SEM image of a black macroporous silicon sample. The pores were arranged in a square pattern with a lattice constant of a = 2 μm. (c) Calculated absorptance spectra for a non-porous planar film (gray dashed), a film with straight nanoholes (red square), and the macroporous black silicon film (blue dot), while keeping the same silicon film thickness of 8.25 μm. The c-Si filling fraction and the lattice constant for the nanohole film are 0.5 and 500 nm, respectively. For the macroporous film, the lattice constant is 2 μm and the c-Si filling faction is about 0.46. We also show the absorptance by a film scaled down from the macroporous film to a lattice constant of 500 nm (magenta solid).

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