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

Vani, VC and Chatterjee, S (2011) Detection of a periodic structure embedded in surface roughness, for various correlation functions. In: Pramana - Journal of Physics, 77 (4). pp. 611-626.

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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.

Item Type:	Journal Article
Publication:	Pramana - Journal of Physics
Publisher:	Indian Academy of Sciences
Additional Information:	Copyright of this article belongs to Indian Academy of Sciences.
Keywords:	Matched filter;rough surface;detection
Department/Centre:	Division of Physical & Mathematical Sciences > Instrumentation Appiled Physics
Date Deposited:	07 Dec 2011 06:44
Last Modified:	07 Dec 2011 06:44
URI:	http://eprints.iisc.ac.in/id/eprint/42537

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