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Detection of a periodic structure embedded in surface roughness, for various correlation functions

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Abstract

This paper deals with surface profilometry, where we try to detect a periodic structure, hidden in randomness using the matched filter method of analysing the intensity of light, scattered from the surface. From the direct problem of light scattering from a composite rough surface of the above type, we find that the detectability of the periodic structure can be hindered by the randomness, being dependent on the correlation function of the random part. In our earlier works, we had concentrated mainly on the Cauchy-type correlation function for the rough part. In the present work, we show that this technique can determine the periodic structure of different kinds of correlation functions of the roughness, including Cauchy, Gaussian etc. We study the detection by the matched filter method as the nature of the correlation function is varied.

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References

  1. S Chatterjee, Indian J. Phys. B74, 363 (2000)

    Google Scholar 

  2. S Chatterjee and V C Vani, Bull. Astron. Soc. India 30, 835 (2002)

    Google Scholar 

  3. S Chatterjee and V C Vani, J. Mod. Opt. 50, 833 (2003)

    ADS  MATH  Google Scholar 

  4. V C Vani and S Chatterjee, Bull. Astron. Soc. India 31, 457 (2003)

    ADS  Google Scholar 

  5. V C Vani and S Chatterjee, Curr. Sci. 86, 177 (2004)

    Google Scholar 

  6. V C Vani and S Chatterjee, Appl. Opt. 46, 3664 (2004)

    Article  ADS  Google Scholar 

  7. S Chatterjee and V C Vani, Pramana – J. Phys. 65, 413 (2005)

    Article  ADS  Google Scholar 

  8. S Chatterjee and V C Vani, Third International Conference on Inverse Problems: Modeling and Simulation (May 29–June 02, 2006)

  9. V C Vani and S Chatterjee, Appl. Opt. 45, 8939 (2006)

    Article  ADS  Google Scholar 

  10. V C Vani and S Chatterjee, Pramana – J. Phys. 70, 875 (2008)

    Article  ADS  Google Scholar 

  11. V C Vani and S Chatterjee, Phys. Scr. 81, 055402 (2010)

    Article  ADS  Google Scholar 

  12. P Beckmann and A Spizzichino, The scattering of electromagnetic waves from random surfaces (Pergamon Press, Oxford, 1963)

    Google Scholar 

  13. P Beckmann, Scattering of light by rough surfaces, in: Progress in optics edited by E Wolf (North Holland, 1967) Vol. 6, pp. 55–69

  14. Y-P Chao, Irene Wu, C-F Cheng, Ueyn Block, G-C Wang and T M Lu, J. Appl. Phys. 84, 2571 (1998)

    Article  ADS  Google Scholar 

  15. Chanfu Chen, Chunxiang Liu, Ningyu Zhang, Tianquing Jia, Ruxin Li and Zhinzhan Lu, Appl. Opt. 41, 2571 (1998)

    Google Scholar 

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Authors and Affiliations

  1. Department of Instrumentation and Applied Physics, Indian Institute of Science, Bangalore, 560 012, India

    V C VANI

  2. Indian Institute of Astrophysics, Bangalore, 560 034, India

    S CHATTERJEE

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  1. V C VANI
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  2. S CHATTERJEE
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Correspondence to V C VANI.

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VANI, V.C., CHATTERJEE, S. Detection of a periodic structure embedded in surface roughness, for various correlation functions. Pramana - J Phys 77, 611–626 (2011). https://doi.org/10.1007/s12043-011-0140-1

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  • DOI: https://doi.org/10.1007/s12043-011-0140-1

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