Abstract
A number of tissue-like disordered media exhibit local anisotropy of scattering in the scaling behavior. Scaling behavior contains wealth of fractal or multifractal properties. We demonstrate that the spatial dielectric fluctuations in a sample of biological tissue exhibit multifractal anisotropy. Multifractal anisotropy encoded in the wavelength variation of the light scattering Mueller matrix and manifesting as an intriguing spectral diattenuation effect. We developed an inverse method for the quantitative assessment of the multifractal anisotropy. The method is based on the processing of relevant Mueller matrix elements in Fourier domain by using Born approximation, followed by the multifractal analysis. The approach promises for probing subtle micro-structural changes in biological tissues associated with the cancer and precancer, as well as for non-destructive characterization of a wide range of scattering materials.
| Original language | English |
|---|---|
| Pages (from-to) | 172-178 |
| Number of pages | 7 |
| Journal | Optics Communications |
| Volume | 413 |
| Early online date | 29 Dec 2017 |
| DOIs | |
| Publication status | Published - 15 Apr 2018 |
Funding
This work was supported by IISER-Kolkata, an autonomous institute funded by MHRD, Govt. of India . Authors would also like to acknowledge BRNS-DAE, Govt. of India , Sanction No. 37(3)/14/23/2014-BRNS for funding. IM also acknowledges a partial support provided by Russian Science Foundation Grant No. 15-14-10008 ), MEPhI Academic Excellence Project (Contract No. 02.a03.21.0005 ), National Research Tomsk State University Academic D.I. Mendeleev Fund Program and the support from ITEE Faculty of the University of Oulu, Finland . The authors thank Dr. Asha Agarwal, G.S.V.M. Medical College and Hospital, Kanpur, for providing the histopathologically characterized tissue samples. Appendix A
Keywords
- Anisotropy of scattering
- Biological tissues
- Born approximation
- Mueller matrix
- Polarization