Fractal analysis of lyotropic lamellar liquid crystal textures

S. V. Muniandy, C. S. Kan, S. C. Lim, Shahidan Radiman

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We apply fractal analysis to study the birefringence textures of lyotropic lamellar liquid crystal system (water/cethylpyridinium chloride/decanol). Birefringence texture morphologies are important as they provide information on the molecular ordering as well as defect structures and therefore has been adopted as a standard method in characterizing different phases of liquid crystals. The system under consideration shows a gradual morphological transition from mosaic to oily streak structures and then to maltese cross texture when the water content is increased. Since these textures are the characteristic fingerprints for the lyotropic lamellar phases, it is necessary to have robust techniques to obtain image quantifiers that can characterize the morphological structure of the textures. For this purpose we employ three different approaches namely the Fourier power spectrum for monofractal analysis, the generalized box-counting method for multifractal analysis and multifractal segmentation technique for estimating the space-varying local Hurst exponents. The relationships between estimated image parameters such as the spectral exponent, the Hurst exponent and the fractal dimension with respect to patterns observed in the birefringence textures are discussed.

Original languageEnglish
Pages (from-to)107-123
Number of pages17
JournalPhysica A: Statistical Mechanics and its Applications
Volume323
DOIs
Publication statusPublished - 15 May 2003

Fingerprint

Fractal Analysis
Liquid Crystal
Texture
fractals
textures
liquid crystals
Birefringence
birefringence
Hurst Exponent
exponents
Fourier Spectrum
Multifractal Analysis
Water Content
Quantifiers
Fingerprint
Power Spectrum
Fractal Dimension
moisture content
boxes
power spectra

Keywords

  • Fractals
  • Liquid crystals
  • Self-similar processes
  • Textures

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Fractal analysis of lyotropic lamellar liquid crystal textures. / Muniandy, S. V.; Kan, C. S.; Lim, S. C.; Radiman, Shahidan.

In: Physica A: Statistical Mechanics and its Applications, Vol. 323, 15.05.2003, p. 107-123.

Research output: Contribution to journalArticle

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