Detection of a periodic structure hidden in random background: the role of signal amplitude in the matched filter detection method

Vani, VC and Chatterjee, Saikat (2010) Detection of a periodic structure hidden in random background: the role of signal amplitude in the matched filter detection method. In: Physica Scripta, 81 (5). 055402-1-055402-10.

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Abstract

The matched filter method for detecting a periodic structure on a surface hidden behind randomness is known to detect up to (r(0)/Lambda) gt;= 0.11, where r(0) is the coherence length of light on scattering from the rough part and 3 is the wavelength of the periodic part of the surface-the above limit being much lower than what is allowed by conventional detection methods. The primary goal of this technique is the detection and characterization of the periodic structure hidden behind randomness without the use of any complicated experimental or computational procedures. This paper examines this detection procedure for various values of the amplitude a of the periodic part beginning from a = 0 to small finite values of a. We thus address the importance of the following quantities: `(a)lambda) `, which scales the amplitude of the periodic part with the wavelength of light, and (r(0))Lambda),in determining the detectability of the intensity peaks.

Item Type:	Journal Article
Publication:	Physica Scripta
Publisher:	Royal Swedish Academy of Sciences
Additional Information:	Copyright of this article belongs to Royal Swedish Academy of Sciences.
Department/Centre:	Division of Physical & Mathematical Sciences > Instrumentation Appiled Physics
Date Deposited:	25 May 2010 05:26
Last Modified:	19 Sep 2010 06:07
URI:	http://eprints.iisc.ac.in/id/eprint/28015

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