Nonlinear analysis of the degree of order and chaos of morphology of porous silicon nanostructures
Authors:   National Nanotechnological Laboratory of Open Type at al-Farabi Kazakh National University, al-Farabi av., 71, Almaty, Kazakhstan, 050040, Zhanabaev Zeinulla ,   Al-Farabi Kazakh National University, al-Farabi av., 71, Almaty, Kazakhstan, 050040,   Institute of Experimental and Theoretical Physics, al-Farabi av., 71, Almaty, Kazakhstan, 050040, Grevtseva Tatyana ,   National Nanotechnological Laboratory of Open Type at al-Farabi Kazakh National University, al-Farabi av., 71, Almaty, Kazakhstan, 050040,   Al-Farabi Kazakh National University, al-Farabi av., 71, Almaty, Kazakhstan, 050040,   Institute of Experimental and Theoretical Physics, al-Farabi av., 71, Almaty, Kazakhstan, 050040, Gonchar Kirill ,   Lomonosov Moscow State University, Leninskie Gory, 1, Moscow, Russia, 119991, Mussabek Gauhar ,   National Nanotechnological Laboratory of Open Type at al-Farabi Kazakh National University, al-Farabi av., 71, Almaty, Kazakhstan, 050040,   Al-Farabi Kazakh National University, al-Farabi av., 71, Almaty, Kazakhstan, 050040,   National Research Nuclear University “MEPhI”, Institute of Engineering Physics for Biomedicine, Laboratory “Bionanophotonics”, Kashirskoe sh., 31, Moscow, Russia, 115409, Yermukhamed Dana ,   National Nanotechnological Laboratory of Open Type at al-Farabi Kazakh National University, al-Farabi av., 71, Almaty, Kazakhstan, 050040,   Al-Farabi Kazakh National University, al-Farabi av., 71, Almaty, Kazakhstan, 050040, Serikbayev Almas ,   Al-Farabi Kazakh National University, al-Farabi av., 71, Almaty, Kazakhstan, 050040, Assilbayeva Rakhila ,   Caspian State University of Technology and Engineering named after Sh. Yessenov, 30 microdistrict, 14/2, Aktau, Kazakhstan, 130000, Turmukhambetov Akylbek ,   Al-Farabi Kazakh National University, al-Farabi av., 71, Almaty, Kazakhstan, 050040, Timoshenko Victor ,   Lomonosov Moscow State University, Leninskie Gory, 1, Moscow, Russia, 119991,   National Research Nuclear University “MEPhI”, Institute of Engineering Physics for Biomedicine, Laboratory “Bionanophotonics”, Kashirskoe sh., 31, Moscow, Russia, 115409
Published: November 2019

This work has been done to identify quantitative criteria the degree of order and chaos morphology of porous layers consisting of silicon nanowire arrays. In order to fulfill the work, a method of using metal-assisted chemical etching has been utilized to produce nanowires. There has been done a work of digital processing of porous film images which were extracted by scanning electron microscope. Informational-entropic and Fourier analysis have been applied to quantitatively describe the degree of order and chaos in nanostructure distribution in the layers. Self-similarity of the layer morphology has been quantitatively described via its fractal dimensions by correlation method. The applied approach for image processing allows us to distinguish the morphological features of as-called "black" (more ordered) and "white" (less ordered) silicon layers, which are characterized by minimal and maximal optical reflection, respectively. From all of the methods of digital techniques that we have used the method for determining the conditional information of a chaotic set was proved to be the most informative.