Physics of Wave Phenomena

, Volume 21, Issue 4, pp 256–260 | Cite as

Pattern stability in diffraction of light from structures with self-similarity symmetry

  • P. V. Korolenko
  • S. B. Ryzhikov
  • Yu. V. Ryzhikova
Optical Refraction and Diffraction in Inhomogeneous Media


A method for determining the structural features of 1D–3D aperiodic diffraction gratings with self-similarity symmetry has been proposed and substantiated. This method is based on the analysis of local patterns in scaling characteristics of diffracted waves. The stability of patterns to changes in grating illumination conditions and the presence of defects in gratings is estimated.


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  1. 1.
    Yu.N. Zakharov, E.V. Mitroshina, M.V. Vedunova, S.A. Korotchenko, Ya.I. Kalintseva, I.V. Mukhina, and A.V. Potanina, “Fluorescence Analysis of the Metabolic Activity Patterns of a Neuronal-Glial Network,” J. Opt. Technol. 79(6), 348 (2012).CrossRefGoogle Scholar
  2. 2.
    S. Moon, S.-W. Lee, and Z. Chen, “Reference Spectrum Extraction and Fixed-Pattern Noise Removal in Optical Coherence Tomography,” Opt. Exp. 18(24), 24395 (2010).ADSCrossRefGoogle Scholar
  3. 3.
    U. Richter, L. Faes, F. Ravelli, and L. Sornmo, “Propagation Pattern Analysis During Atrial Fibrillation Based on Sparse Modeling,” Biomed. Eng. IEEE Trans. 59(5), 1319 (2012).CrossRefGoogle Scholar
  4. 4.
    A.M. Zotov, P.V. Korolenko, and A.Yu. Mishin, “Scaling in the Optical Characteristics of Aperiodic Structures with Self-Similarity Symmetry,” Cryst. Rep. 55(6), 964 (2010).CrossRefGoogle Scholar
  5. 5.
    A.A. Potapov, P.A. Ushakov, and A.Kh. Gil’mutdinov, “Elements, Devices, and Methods for Fractal Communication Technology, Electronics, and Nanotechnology,” Phys. Wave Phenom. 18(2), 119 (2010) [DOI: 10.3103/S1541308X10020068].ADSCrossRefGoogle Scholar
  6. 6.
    P.V. Korolenko, A.Yu. Mishin, and Yu.V. Ryzhikova, “Comparative Analysis of the Spectral and Scaling Characteristics of Optical Aperiodic-Structure Elements,” Phys.Wave Phenom. 21(1), 68 (2013) [DOI: 10.3103/S1541308X13010135].ADSCrossRefGoogle Scholar
  7. 7.
    E. Macia, “The Role of Aperiodic Order in Science and Technology,” Rep. Prog. Phys. 69, 397 (2006).ADSCrossRefGoogle Scholar
  8. 8.
    D.V. Sivukhin, General Course of Physics. Vol.4: Optics (Lan’, Moscow, 2005) [in Russian].Google Scholar
  9. 9.
    J. Feder, Fractals (Plenum Press, N.Y., 1988).CrossRefMATHGoogle Scholar
  10. 10.
    P.V. Korolenko, M.S. Maganova, and A.V. Mesnyankin, Innovation Methods for Analyzing Stochastic Processes and Structures in Optics: Fractal and Multifractal Methods, Wavelet Transforms (UNTs DO, NIIYaF MGU, Moscow, 2004) [in Russian].Google Scholar

Copyright information

© Allerton Press, Inc. 2013

Authors and Affiliations

  • P. V. Korolenko
    • 1
  • S. B. Ryzhikov
    • 1
  • Yu. V. Ryzhikova
    • 1
  1. 1.Faculty of PhysicsLomonosov Moscow State UniversityMoscowRussia

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