Abstract

A practicable experimental method for measuring scattering on rough surfaces is reported. The scattered patterns are captured on a screen composed of two pieces of ground glass and then imaged using a charge-coupled device. The scattered intensity profiles are extracted by converting the patterns in real space into the wave vector space. Isotropic and anisotropic samples of the rough backsides of silicon wafer are investigated respectively, and their intensity profiles are measured. The profiles of the anisotropic sample are obtained by reading the pixels on the specific orientation curves. The parameters of the samples are extracted using angle-resolved light-scattering schemes and theories. The results well agree with measurements obtained using an atomic force microscope.

© 2012 Chinese Optics Letters

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  1. D. Liu, Y. Yang, L. Wang, Y. Zhuo, C. Lu, L. Yang, and R. Li, Opt. Commun. 278, 240 (2007).
  2. W. Choi, C.-C. Yu, C. Fang-Yen, K. Badizadegan, R. R. Dasari, and M. S. Feld, Opt. Lett. 33, 14 (2008).
  3. Z. Wei, X. Long, and K. Yang, Chin. Opt. Lett. 8, 2 (2010).
  4. F. Bordi, C. Cametti, A. DiBiasio, M. Angeletti, and L. Sparapani, Bioelectrochemistry 52, 213 (2000).
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  6. H. N. Yang, T. M. Lu, and G. C. Wang, Phys. Rev. B 47, 3911 (1993)
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  8. T. M. Elfouhaily and C.-A. Gu'erin, Waves Random Media 14:4, R1-R40 (2004).
  9. R. Li Voti, G. L. Leahu, S. Gaetani, C. Sibilia, V. Violante, E. Castagna, and M. Bertolotti, J. Opt. Soc. Am. B 26, 8 (2009).
  10. Y. J. Shen, Q. Z. Zhu, and Z. M. Zhang, Rev. Scientific Instruments 74, 4885 (2003)
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  13. D. Liu, D. Qi, and C. Cheng, Chinese J. Lasers B 9, 3 (2000).
  14. C. Cheng, C. Liu, S. Teng, N. Zhang, and M. Liu, Phys. Rev. E 65, 061104 (2002).

2010 (1)

Z. Wei, X. Long, and K. Yang, Chin. Opt. Lett. 8, 2 (2010).

2009 (1)

R. Li Voti, G. L. Leahu, S. Gaetani, C. Sibilia, V. Violante, E. Castagna, and M. Bertolotti, J. Opt. Soc. Am. B 26, 8 (2009).

2008 (1)

W. Choi, C.-C. Yu, C. Fang-Yen, K. Badizadegan, R. R. Dasari, and M. S. Feld, Opt. Lett. 33, 14 (2008).

2007 (1)

D. Liu, Y. Yang, L. Wang, Y. Zhuo, C. Lu, L. Yang, and R. Li, Opt. Commun. 278, 240 (2007).

2003 (1)

Y. J. Shen, Q. Z. Zhu, and Z. M. Zhang, Rev. Scientific Instruments 74, 4885 (2003)

2002 (1)

C. Cheng, C. Liu, S. Teng, N. Zhang, and M. Liu, Phys. Rev. E 65, 061104 (2002).

2001 (1)

T. Karabacak, Y. Zhao, M. Stowe, B. Quayle, G.-C. Wang, and T.-M. Lu, Appl. Opt. 40, 31 (2001).

2000 (2)

D. Liu, D. Qi, and C. Cheng, Chinese J. Lasers B 9, 3 (2000).

F. Bordi, C. Cametti, A. DiBiasio, M. Angeletti, and L. Sparapani, Bioelectrochemistry 52, 213 (2000).

1993 (1)

H. N. Yang, T. M. Lu, and G. C. Wang, Phys. Rev. B 47, 3911 (1993)

1990 (1)

M.-J. Kim, J. C. Dainty, A. T. Friberg, and A. J. Sant, J. Opt. Soc. Am. A 7, 4 (1990).

1988 (1)

S. K. Sinha, E. B. Sirata, S. Garoff, and H. B. Stanley, Phys. Rev. B 38, 2297 (1988).

Angeletti, M.

F. Bordi, C. Cametti, A. DiBiasio, M. Angeletti, and L. Sparapani, Bioelectrochemistry 52, 213 (2000).

Badizadegan, K.

W. Choi, C.-C. Yu, C. Fang-Yen, K. Badizadegan, R. R. Dasari, and M. S. Feld, Opt. Lett. 33, 14 (2008).

Bertolotti, M.

R. Li Voti, G. L. Leahu, S. Gaetani, C. Sibilia, V. Violante, E. Castagna, and M. Bertolotti, J. Opt. Soc. Am. B 26, 8 (2009).

Bordi, F.

F. Bordi, C. Cametti, A. DiBiasio, M. Angeletti, and L. Sparapani, Bioelectrochemistry 52, 213 (2000).

Cametti, C.

F. Bordi, C. Cametti, A. DiBiasio, M. Angeletti, and L. Sparapani, Bioelectrochemistry 52, 213 (2000).

Castagna, E.

R. Li Voti, G. L. Leahu, S. Gaetani, C. Sibilia, V. Violante, E. Castagna, and M. Bertolotti, J. Opt. Soc. Am. B 26, 8 (2009).

Cheng, C.

C. Cheng, C. Liu, S. Teng, N. Zhang, and M. Liu, Phys. Rev. E 65, 061104 (2002).

D. Liu, D. Qi, and C. Cheng, Chinese J. Lasers B 9, 3 (2000).

Choi, W.

W. Choi, C.-C. Yu, C. Fang-Yen, K. Badizadegan, R. R. Dasari, and M. S. Feld, Opt. Lett. 33, 14 (2008).

Dainty, J. C.

M.-J. Kim, J. C. Dainty, A. T. Friberg, and A. J. Sant, J. Opt. Soc. Am. A 7, 4 (1990).

Dasari, R. R.

W. Choi, C.-C. Yu, C. Fang-Yen, K. Badizadegan, R. R. Dasari, and M. S. Feld, Opt. Lett. 33, 14 (2008).

DiBiasio, A.

F. Bordi, C. Cametti, A. DiBiasio, M. Angeletti, and L. Sparapani, Bioelectrochemistry 52, 213 (2000).

Fang-Yen, C.

W. Choi, C.-C. Yu, C. Fang-Yen, K. Badizadegan, R. R. Dasari, and M. S. Feld, Opt. Lett. 33, 14 (2008).

Feld, M. S.

W. Choi, C.-C. Yu, C. Fang-Yen, K. Badizadegan, R. R. Dasari, and M. S. Feld, Opt. Lett. 33, 14 (2008).

Friberg, A. T.

M.-J. Kim, J. C. Dainty, A. T. Friberg, and A. J. Sant, J. Opt. Soc. Am. A 7, 4 (1990).

Gaetani, S.

R. Li Voti, G. L. Leahu, S. Gaetani, C. Sibilia, V. Violante, E. Castagna, and M. Bertolotti, J. Opt. Soc. Am. B 26, 8 (2009).

Garoff, S.

S. K. Sinha, E. B. Sirata, S. Garoff, and H. B. Stanley, Phys. Rev. B 38, 2297 (1988).

Karabacak, T.

T. Karabacak, Y. Zhao, M. Stowe, B. Quayle, G.-C. Wang, and T.-M. Lu, Appl. Opt. 40, 31 (2001).

Kim, M.-J.

M.-J. Kim, J. C. Dainty, A. T. Friberg, and A. J. Sant, J. Opt. Soc. Am. A 7, 4 (1990).

Leahu, G. L.

R. Li Voti, G. L. Leahu, S. Gaetani, C. Sibilia, V. Violante, E. Castagna, and M. Bertolotti, J. Opt. Soc. Am. B 26, 8 (2009).

Li, R.

D. Liu, Y. Yang, L. Wang, Y. Zhuo, C. Lu, L. Yang, and R. Li, Opt. Commun. 278, 240 (2007).

Liu, C.

C. Cheng, C. Liu, S. Teng, N. Zhang, and M. Liu, Phys. Rev. E 65, 061104 (2002).

Liu, D.

D. Liu, Y. Yang, L. Wang, Y. Zhuo, C. Lu, L. Yang, and R. Li, Opt. Commun. 278, 240 (2007).

D. Liu, D. Qi, and C. Cheng, Chinese J. Lasers B 9, 3 (2000).

Liu, M.

C. Cheng, C. Liu, S. Teng, N. Zhang, and M. Liu, Phys. Rev. E 65, 061104 (2002).

Long, X.

Z. Wei, X. Long, and K. Yang, Chin. Opt. Lett. 8, 2 (2010).

Lu, C.

D. Liu, Y. Yang, L. Wang, Y. Zhuo, C. Lu, L. Yang, and R. Li, Opt. Commun. 278, 240 (2007).

Lu, T. M.

H. N. Yang, T. M. Lu, and G. C. Wang, Phys. Rev. B 47, 3911 (1993)

Lu, T.-M.

T. Karabacak, Y. Zhao, M. Stowe, B. Quayle, G.-C. Wang, and T.-M. Lu, Appl. Opt. 40, 31 (2001).

Qi, D.

D. Liu, D. Qi, and C. Cheng, Chinese J. Lasers B 9, 3 (2000).

Quayle, B.

T. Karabacak, Y. Zhao, M. Stowe, B. Quayle, G.-C. Wang, and T.-M. Lu, Appl. Opt. 40, 31 (2001).

Sant, A. J.

M.-J. Kim, J. C. Dainty, A. T. Friberg, and A. J. Sant, J. Opt. Soc. Am. A 7, 4 (1990).

Shen, Y. J.

Y. J. Shen, Q. Z. Zhu, and Z. M. Zhang, Rev. Scientific Instruments 74, 4885 (2003)

Sibilia, C.

R. Li Voti, G. L. Leahu, S. Gaetani, C. Sibilia, V. Violante, E. Castagna, and M. Bertolotti, J. Opt. Soc. Am. B 26, 8 (2009).

Sinha, S. K.

S. K. Sinha, E. B. Sirata, S. Garoff, and H. B. Stanley, Phys. Rev. B 38, 2297 (1988).

Sirata, E. B.

S. K. Sinha, E. B. Sirata, S. Garoff, and H. B. Stanley, Phys. Rev. B 38, 2297 (1988).

Sparapani, L.

F. Bordi, C. Cametti, A. DiBiasio, M. Angeletti, and L. Sparapani, Bioelectrochemistry 52, 213 (2000).

Stanley, H. B.

S. K. Sinha, E. B. Sirata, S. Garoff, and H. B. Stanley, Phys. Rev. B 38, 2297 (1988).

Stowe, M.

T. Karabacak, Y. Zhao, M. Stowe, B. Quayle, G.-C. Wang, and T.-M. Lu, Appl. Opt. 40, 31 (2001).

Teng, S.

C. Cheng, C. Liu, S. Teng, N. Zhang, and M. Liu, Phys. Rev. E 65, 061104 (2002).

Violante, V.

R. Li Voti, G. L. Leahu, S. Gaetani, C. Sibilia, V. Violante, E. Castagna, and M. Bertolotti, J. Opt. Soc. Am. B 26, 8 (2009).

Voti, R. Li

R. Li Voti, G. L. Leahu, S. Gaetani, C. Sibilia, V. Violante, E. Castagna, and M. Bertolotti, J. Opt. Soc. Am. B 26, 8 (2009).

Wang, G. C.

H. N. Yang, T. M. Lu, and G. C. Wang, Phys. Rev. B 47, 3911 (1993)

Wang, G.-C.

T. Karabacak, Y. Zhao, M. Stowe, B. Quayle, G.-C. Wang, and T.-M. Lu, Appl. Opt. 40, 31 (2001).

Wang, L.

D. Liu, Y. Yang, L. Wang, Y. Zhuo, C. Lu, L. Yang, and R. Li, Opt. Commun. 278, 240 (2007).

Wei, Z.

Z. Wei, X. Long, and K. Yang, Chin. Opt. Lett. 8, 2 (2010).

Yang, H. N.

H. N. Yang, T. M. Lu, and G. C. Wang, Phys. Rev. B 47, 3911 (1993)

Yang, K.

Z. Wei, X. Long, and K. Yang, Chin. Opt. Lett. 8, 2 (2010).

Yang, L.

D. Liu, Y. Yang, L. Wang, Y. Zhuo, C. Lu, L. Yang, and R. Li, Opt. Commun. 278, 240 (2007).

Yang, Y.

D. Liu, Y. Yang, L. Wang, Y. Zhuo, C. Lu, L. Yang, and R. Li, Opt. Commun. 278, 240 (2007).

Yu, C.-C.

W. Choi, C.-C. Yu, C. Fang-Yen, K. Badizadegan, R. R. Dasari, and M. S. Feld, Opt. Lett. 33, 14 (2008).

Zhang, N.

C. Cheng, C. Liu, S. Teng, N. Zhang, and M. Liu, Phys. Rev. E 65, 061104 (2002).

Zhang, Z. M.

Y. J. Shen, Q. Z. Zhu, and Z. M. Zhang, Rev. Scientific Instruments 74, 4885 (2003)

Zhao, Y.

T. Karabacak, Y. Zhao, M. Stowe, B. Quayle, G.-C. Wang, and T.-M. Lu, Appl. Opt. 40, 31 (2001).

Zhu, Q. Z.

Y. J. Shen, Q. Z. Zhu, and Z. M. Zhang, Rev. Scientific Instruments 74, 4885 (2003)

Zhuo, Y.

D. Liu, Y. Yang, L. Wang, Y. Zhuo, C. Lu, L. Yang, and R. Li, Opt. Commun. 278, 240 (2007).

Appl. Opt. (1)

T. Karabacak, Y. Zhao, M. Stowe, B. Quayle, G.-C. Wang, and T.-M. Lu, Appl. Opt. 40, 31 (2001).

Bioelectrochemistry (1)

F. Bordi, C. Cametti, A. DiBiasio, M. Angeletti, and L. Sparapani, Bioelectrochemistry 52, 213 (2000).

Chin. Opt. Lett. (1)

Z. Wei, X. Long, and K. Yang, Chin. Opt. Lett. 8, 2 (2010).

Chinese J. Lasers B (1)

D. Liu, D. Qi, and C. Cheng, Chinese J. Lasers B 9, 3 (2000).

J. Opt. Soc. Am. A (1)

M.-J. Kim, J. C. Dainty, A. T. Friberg, and A. J. Sant, J. Opt. Soc. Am. A 7, 4 (1990).

J. Opt. Soc. Am. B (1)

R. Li Voti, G. L. Leahu, S. Gaetani, C. Sibilia, V. Violante, E. Castagna, and M. Bertolotti, J. Opt. Soc. Am. B 26, 8 (2009).

Opt. Commun. (1)

D. Liu, Y. Yang, L. Wang, Y. Zhuo, C. Lu, L. Yang, and R. Li, Opt. Commun. 278, 240 (2007).

Opt. Lett. (1)

W. Choi, C.-C. Yu, C. Fang-Yen, K. Badizadegan, R. R. Dasari, and M. S. Feld, Opt. Lett. 33, 14 (2008).

Phys. Rev. B (2)

S. K. Sinha, E. B. Sirata, S. Garoff, and H. B. Stanley, Phys. Rev. B 38, 2297 (1988).

H. N. Yang, T. M. Lu, and G. C. Wang, Phys. Rev. B 47, 3911 (1993)

Phys. Rev. E (1)

C. Cheng, C. Liu, S. Teng, N. Zhang, and M. Liu, Phys. Rev. E 65, 061104 (2002).

Rev. Scientific Instruments (1)

Y. J. Shen, Q. Z. Zhu, and Z. M. Zhang, Rev. Scientific Instruments 74, 4885 (2003)

Other (2)

Y. P. Zhao, G. C. Wang, and T. M. Lu, Characterization of Amorphous and Crystalline Rough Surface: Principles and Applications (Troy, New York, 2001).

T. M. Elfouhaily and C.-A. Gu'erin, Waves Random Media 14:4, R1-R40 (2004).

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