Conference Proceedings

International Conference on Advances in Electronics Devices and Circuits - EDC 2012

Fourier Transform and Distance Distribution Function: New Insights into Data Analysis

Author(s) : SHIV KUMAR SINGH

Abstract

We revisit the standard procedure for analyzing the static light intensity curves I(q) measured in scattering from chemical/biological samples as done in the literature. By utilizing some algebraic properties of Fourier integrals we show that; i) the theoretical forward intensity I(0) extracted via the Glatter/Moore algorithm must be consistently higher than all peaks occurring in the input I(q) curve ; ii) the attenuated oscillations of input I(q) data at intermediate q may be a direct consequence of the presence of a bump in the output distance distribution profile P(r) ; iii) if the input intensity is modified by the Gaussian damping factor exp (-Kq2) then extrapolation of the output results down to K = 0 is liable to become numerically unstable ; and iv) due to the exp (-Kq2) artifact the output distance distribution function profile may exhibit a bump having the correct location but wrong width if K is nonzero.

Conference Title : International Conference on Advances in Electronics Devices and Circuits - EDC 2012
Conference Date(s) : August 11, 2012
Place : Hotel Shangri-La, Kuala Lumpur, Malaysia
No fo Author(s) : 1
DOI : 10.15224/978-981-07-3161-8-125
Page(s) : 10 - 20
Electronic ISBN : 978-981-07-3161-8
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