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Optical properties of ordered vertical arrays of multi-walled carbon nanotubes from FDTD simulations
Hua Bao, Xiulin Ruan, and Timothy S. Fisher »View Author Affiliations
School of Mechanical Engineering, Birck Nanotechnology Center, and Energy Center Purdue University, West Lafayette, Indiana 47907-2088
*ruan@purdue.edu
Optics Express, Vol. 18, Issue 6, pp. 6347-6359 (2010)
http://dx.doi.org/10.1364/OE.18.006347
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Abstract
A finite-difference time-domain (FDTD) method is used to model thermal radiative properties of vertical arrays of multi-walled carbon nanotubes (MWCNT). Individual CNTs are treated as solid circular cylinders with an effective dielectric tensor. Consistent with experiments, the results confirm that CNT arrays are highly absorptive. Compared with the commonly used Maxwell-Garnett theory, the FDTD calculations generally predict larger reflectance and absorbance, and smaller transmittance, which are attributed to the diffraction and scattering within the cylinder array structure. The effects of volume fraction, tube length, tube distance, and incident angle on radiative properties are investigated systematically. Low volume fraction and long tubes are more favorable to achieve low reflectance and high absorbance. For a fixed volume fraction and finite tube length, larger periodicity results in larger reflectance and absorbance. The angular dependence studies reveal an optimum incident angle at which the reflectance can be minimized. The results also suggest that an even darker material could be achieved by using CNTs with good alignment on the top surface.
© 2010 Optical Society of America
OCIS Codes
(310.6628) Thin films : Subwavelength structures, nanostructures
ToC Category:
Thin Films
History
Original Manuscript: January 15, 2010
Revised Manuscript: February 23, 2010
Manuscript Accepted: March 3, 2010
Published: March 12, 2010
Virtual Issues
Focus Issue: Solar Concentrators (2010) Optics Express
Citation
Hua Bao, Xiulin Ruan, and Timothy S. Fisher, "Optical properties of ordered vertical arrays of multi-walled carbon nanotubes from FDTD simulations," Opt. Express 18, 6347-6359 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-6-6347
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- W. Z. Li, S. S. Xie, L. X. Qian, B. H. Chang, B. S. Zou, W. Y. Zhou, R. A. Zhao, and G. Wang, "Large-scale synthesis of aligned carbon nanotubes," Science 274, 1701-1703 (1996). [CrossRef] [PubMed]
- J. Zhu, Z. Yu, G. F. Burkhard, C. M. Hsu, S. T. Connor, Y. Xu, Q. Wang, M. McGehee, S. Fan, and Y. Cui, "Optical absorption enhancement in amorphous silicon nanowire and nanocone arrays," Nano Lett. 9, 279-282 (2009). [CrossRef]
- X. J. Wang, J. D. Flicker, B. J. Lee,W. J. Ready, and Z. M. Zhang, "Visible and near-infrared radiative properties of vertically aligned multi-walled carbon nanotubes," Nanotechnology 20, 215704 (2009). [CrossRef] [PubMed]
- K. Kempa, J. Ryhczynski, Z. P. Huang, K. Gregorczyk, A. Vidan, B. Kimball, J. Carlson, G. Benham, Y. Wang, A. Herczynski, and Z. F. Ren, "Carbon nanotubes as optical antennae," Adv. Mater. 19, 421-426 (2007). [CrossRef]
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- S. M. Bachilo, M. S. Strano, C. Kittrell, R. H. Hauge, R. E. Smalley, and R. B. Weisman, "Structure-assigned optical spectra of single-walled carbon nanotubes," Science 298, 2361-2366 (2002). [CrossRef] [PubMed]
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- W. Z. Li, S. S. Xie, L. X. Qian, B. H. Chang, B. S. Zou, W. Y. Zhou, R. A. Zhao, and G. Wang, "Large-scale synthesis of aligned carbon nanotubes," Science 274, 1701-1703 (1996). [CrossRef] [PubMed]
- G. Chen, J. Wu, Q. Lu, H. R. Gutierrez, Q. Xiong, M. E. Pellen, J. S. Petko, D. H. Werner, and P. C. Eklund, "Optical antenna effect in semiconducting nanowires," Nano Lett. 8, 1341-1346 (2008). [CrossRef] [PubMed]
- T. Xu, S. Yang, S. V. Nair, and H. E. Ruda, "Nanowire-array-based photonic crystal cavity by finite-difference time-domain-calculations," Phy. Rev. B 75, 125104 (2007). [CrossRef]
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- K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, "A black body absorber from vertically aligned single-walled carbon nanotubes," Proc. Natl. Acad. Sci. USA 106, 6044-6047 (2008). [CrossRef]
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ACS Nano
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Adv. Mater.
- K. Kempa, J. Ryhczynski, Z. P. Huang, K. Gregorczyk, A. Vidan, B. Kimball, J. Carlson, G. Benham, Y. Wang, A. Herczynski, and Z. F. Ren, "Carbon nanotubes as optical antennae," Adv. Mater. 19, 421-426 (2007). [CrossRef]
Appl. Phys. Lett.
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J. Appl. Phys.
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J. Phys. B
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JOM
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Microscale Thermophys. Eng.
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Nano Lett.
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Nanotechnology
- X. J. Wang, J. D. Flicker, B. J. Lee,W. J. Ready, and Z. M. Zhang, "Visible and near-infrared radiative properties of vertically aligned multi-walled carbon nanotubes," Nanotechnology 20, 215704 (2009). [CrossRef] [PubMed]
Nat. Mater.
- Z. Fan, H. Razavi, J. Do, A. Moriwaki, O. Ergen, Y. Chueh, P. W. Leu, J. C. Ho, T. Takahashi, L. A. Reichertz, S. Neale, K. Yu,M. Wu, J.W. Ager, and A. Javey, "Three-dimensional nanopillar-array photovoltaics on low-cost and flexible substrates," Nat. Mater. 8, 648-653 (2009). [CrossRef] [PubMed]
Nature
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Opt. Express
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Opt. Lett.
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Phy. Rev. B
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Phys. Rev. B
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Phys. Rev. Lett.
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Proc. Natl. Acad. Sci. USA
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Science
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Ser. A
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2009, Lidorikis, ACS Nano
- E. Lidorikis and A. C. Ferrari, "Photonics with multiwall carbon nanotube arrays," ACS Nano 3, 1238-1248 (2009). [CrossRef] [PubMed]
- X. J. Wang, J. D. Flicker, B. J. Lee,W. J. Ready, and Z. M. Zhang, "Visible and near-infrared radiative properties of vertically aligned multi-walled carbon nanotubes," Nanotechnology 20, 215704 (2009). [CrossRef] [PubMed]
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- J. Zhu, Z. Yu, G. F. Burkhard, C. M. Hsu, S. T. Connor, Y. Xu, Q. Wang, M. McGehee, S. Fan, and Y. Cui, "Optical absorption enhancement in amorphous silicon nanowire and nanocone arrays," Nano Lett. 9, 279-282 (2009). [CrossRef]
- J. Li, H. Yu, S. M. Wong, G. Zhang, X. Sun, P. G. Lo, and D. Kwong, "Si nanopillar array optimization on Si thin films for solar energy harvesting," Appl. Phys. Lett. 95, 033102 (2009). [CrossRef]
- G. Chen, J. Wu, Q. Lu, H. R. Gutierrez, Q. Xiong, M. E. Pellen, J. S. Petko, D. H. Werner, and P. C. Eklund, "Optical antenna effect in semiconducting nanowires," Nano Lett. 8, 1341-1346 (2008). [CrossRef] [PubMed]
- O. L. Muskens, J. G. Rivas, R. E. Algra, E. P. A. A. Bakkers, and A. Lagendijk, "Design of light scattering in nanowire materials for photovoltaic applications," Nano Lett. 8, 2638-2642 (2008). [CrossRef] [PubMed]
- R. A. Street, P. Qi, R. Lujan, and W. S. Wong, "Reflectivity of disordered silicon nanowires," Appl. Phys. Lett. 93, 163109 (2008). [CrossRef]
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- K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, "A black body absorber from vertically aligned single-walled carbon nanotubes," Proc. Natl. Acad. Sci. USA 106, 6044-6047 (2008). [CrossRef]
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- K. Kempa, J. Ryhczynski, Z. P. Huang, K. Gregorczyk, A. Vidan, B. Kimball, J. Carlson, G. Benham, Y. Wang, A. Herczynski, and Z. F. Ren, "Carbon nanotubes as optical antennae," Adv. Mater. 19, 421-426 (2007). [CrossRef]
- L. Hu and G. Chen, "Analysis of optical absorption in silicon nanowire arrays for photovoltatic applications," Nano Lett. 7, 3249-3252 (2007). [CrossRef] [PubMed]
- R. E. Camacho, A. R. Morgan, M. C. Flores, T. A. McLeod, V. S. Kumsomboone, B. J. Mordecai, R. Bhattacharjea, W. Tong, B. K. Wagner, J. D. Flicker, S. P. Turano, and W. J. Ready, "Carbon nanotube arrays for photovoltaic applications," JOM 59, 39-42 (2007). [CrossRef]
- T. Xu, S. Yang, S. V. Nair, and H. E. Ruda, "Nanowire-array-based photonic crystal cavity by finite-difference time-domain-calculations," Phy. Rev. B 75, 125104 (2007). [CrossRef]
- G. Y. Slepyan, M. V. Shuba, and S. A. Maksimenko, "Theory of optical scattering by achiral carbon nanotubes and their potential as optical nanoantennas," Phys. Rev. B 73, 195416 (2006). [CrossRef]
- G. L. Zhao, D. Bagayoko, and L. Yang, "Optical properties of aligned carbon nanotube mats for photonic applications," J. Appl. Phys. 99, 114311 (2006). [CrossRef]
- X. Ruan and M. Kaviany, "Photon localization and electromagnetic field enhancement in laser irradiated, random porous media," Microscale Thermophys. Eng. 9, 63-84 (2005). [CrossRef]
- S. Redmond, S. Rand, X. Ruan, and M. Kaviany, "Multiple scattering and nonlinear thermal emission of Yb3+,Er3+:Y2O3 nanopowders," J. Appl. Phys. 95, 4069-4077 (2004). [CrossRef]
- Y. Wang, K. Kempa, B. Kimball, J. B. Carlson, G. Benham, W. Z. Li, T. Kempa, J. Rybczynski, A. Herczynski, and Z. F. Ren, "Receiving and transmitting light-like radio waves: Antenna effect in arrays of aligned carbon nanotubes," Appl. Phys. Lett. 85, 2607 (2004). [CrossRef]
- G. Y. Guo, K. C. Chu, D. S. Wang, and C. G. Duan, "Linear and nonlinear optical properites of carbon nanotubes from first-principles calculations," Phys. Rev. B 69, 205416 (2004). [CrossRef]
- K. Kempa, B. Kimball, J. Ryhczynski, Z. P. Huang, P. F. Wu, D. Steeves, M. Sennett, M. Giersig, D. V. G. L. N. Rao, D. Carnahan, D. Z. Wang, J. Y. Lao, W. Z. Li, and Z. F. Ren, "Photonic crystals based on periodic arrays of aligned carbon nanotubes," Nano Lett. 3, 13-18 (2003). [CrossRef]
- S. M. Bachilo, M. S. Strano, C. Kittrell, R. H. Hauge, R. E. Smalley, and R. B. Weisman, "Structure-assigned optical spectra of single-walled carbon nanotubes," Science 298, 2361-2366 (2002). [CrossRef] [PubMed]
- M. F. Lin, "Optical spectra of single-wall carbon nanotube bundles," Phys. Rev. B 62, 13153 (2000). [CrossRef]
- W. L ¨u, J. Dong, and Z. Li, "Optical properties of aligned carbon nanotube systems studied by the effectivemedium approximation method," Phys. Rev. B 63, 033401 (2000). [CrossRef]
- T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, "Extraordinary optical transmission through sub-wavelength hole arrays," Nature 391, 667-669 (1998). [CrossRef]
- F. J. Garcia-Vidal, J. M. Pitarke, and J. B. Pendry, "Effective medium theory of the optical properties of aligned carbon nanotubes," Phys. Rev. Lett. 78, 4289-4292 (1997). [CrossRef]
- L. Henrard and P. Lambin, "Calculation of energy loss for an electron passing near giant fullerenes," J. Phys. B 29, 5127 (1996). [CrossRef]
- W. Z. Li, S. S. Xie, L. X. Qian, B. H. Chang, B. S. Zou, W. Y. Zhou, R. A. Zhao, and G. Wang, "Large-scale synthesis of aligned carbon nanotubes," Science 274, 1701-1703 (1996). [CrossRef] [PubMed]
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