Article
Physics, Particles & Fields
A. Morozov, N. Tselousov
Summary: This article investigates a peculiar family of double braid knots and the factorization formula for the coefficients of their differential expansion. By extending the double braid knots to antiparallel triple pretzels, it is found that the factorization formula is violated in certain cases, although there still exists an elegant formula to describe it.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Optics
Cheng Guo, Meng Xiao, Meir Orenstein, Shanhui Fan
Summary: Our approach utilizes a single passive nonlocal optical surface to generate 3D linear light bullets in free space, allowing for space-time coupling without the need for complex techniques, and providing control over both external and internal properties of the light bullets.
LIGHT-SCIENCE & APPLICATIONS
(2021)
Article
Chemistry, Multidisciplinary
Amir Handelman, Igor Lapsker, Avi Jacob, Alexander Laikhtman
Summary: The study proposes using the polar amino acid L-histidine as a material for bio-photonic devices and discovers its ability to self-assemble into microstructures with passive waveguiding capability of polarized light. The linear birefringence of histidine microplates is estimated using the theory of biaxial crystals, showcasing its potential value in biophotonic applications.
ADVANCED FUNCTIONAL MATERIALS
(2021)
Article
Mathematics, Interdisciplinary Applications
Saima Naheed, Shahid Mubeen, Gauhar Rahman, Zareen A. Khan, Kottakkaran Sooppy Nisar
Summary: This paper investigates image formulas associated with the product of Srivastava's polynomials and extended Wright function, using Marichev-Saigo-Maeda fractional integral and differential operators, Lavoie-Trottier and Oberhettinger integral operators. The obtained outcomes are in the form of the Fox-Wright function. Interesting special cases are also discussed.
FRACTAL AND FRACTIONAL
(2022)
Article
Physics, Applied
Masamitsu Amano, Kazuhito Otsuka, Tohru Fujihara, Hisao Kondo, Kazuki Bando
Summary: In this study, we measured the phase dispersion of a cavity polariton in a single-crystalline anthracene microcavity using interference spectroscopy. The results showed slow-light dispersion at the lower polariton resonance, which was consistent with the transfer matrix method calculations. The group refractive index of the slow-light dispersion was found to be 24, with significant contributions from structural dispersion and material dispersion.
APPLIED PHYSICS LETTERS
(2022)
Article
Optics
Nick Rondelez, Karel Desnijder, Wouter Ryckaert, Youri Meuret
Summary: Freeform optics can generate accurate illumination patterns from compact light sources. This paper presents a novel algorithm for calculating smooth phase shift patterns to generate arbitrary target patterns under non-paraxial conditions. Experimental analysis shows that applying these phase shift patterns to spatial light modulators can create programmable freeform optics. The possibilities and limitations of generating accurate prescribed target patterns are critically discussed in terms of angular extent, spectrum, and etendue.
Article
Optics
Nick Rondelez, Karel Desnijder, Wouter Ryckaert, Youri Meuret
Summary: Freeform optics can generate accurate illumination patterns from compact light sources in lighting applications. A novel algorithm for calculating smooth phase shift patterns under non-paraxial conditions is presented. Experimental performance analysis on a real spatial light modulator (SLM) demonstrates the possibilities and limitations of generating accurate target patterns for collimated laser beams and white LEDs.
Article
Mathematics, Applied
Somayeh Abdi-Mazraeh, Hossein Kheiri, Safar Irandoust-Pakchin
Summary: The paper develops a new method based on operational matrices of LCB-S functions to numerically solve FSI-D equations. The method successfully converts the FSI-D equation into a linear system of algebraic equations for easy solving. Convergence analysis, error estimate, and numerical experiments show the potential and efficiency of the proposed method.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2022)
Article
Materials Science, Multidisciplinary
M. Czajkowski, L. Duda, S. J. Czarnocki, A. B. Szukalska, M. Guzik, J. Mysliwiec, M. Skorenski, B. Potaniec, J. Cybinska
Summary: Research is being conducted to find organic dyes compatible with liquid crystals and with high photoluminescence quantum yield (QY) for use in LC systems. A highly efficient photoluminescent compound in the diketofurofuran (DFF) class of dyes was synthesized and compared with a diketopyrrolopyrrole (DPP) dye with LC properties. The QY of the DFF dye was found to strongly depend on the matrices in which it was dispersed, reaching a value greater than 95% in liquid and LC matrices, a first for the DFF class of dyes. The DFF dye showed significant and reversible changes in emission intensity and color upon melting/crystallization, and performed well as a thermofluorochromic indicator in comparison to commercial laser dyes.
JOURNAL OF MATERIALS CHEMISTRY C
(2023)
Article
Mathematics, Applied
P. Agarwal, A. A. El-Sayed, J. Tariboon
Summary: This paper presents a numerical method for finding approximate solutions to fractional integro-differential equations of variable order, by converting the problem into algebraic equations and using shifted Vieta-Fibonacci polynomials to construct operational matrices. The method is demonstrated to be applicable and accurate through numerical applications.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2021)
Article
Mathematics
Alina Alb Lupas, Georgia Irina Oros
Summary: The notions of strong differential subordination and its dual, strong differential superordination, have been introduced as extensions of the classical differential subordination and superordination concepts. In this paper, quantum calculus and fractional calculus aspects are added to the study. The well-known q-hypergeometric function is given a form extended to fit the study concerning previously introduced classes of functions specific to strong differential subordination and superordination theories.
Article
Optics
A. Brenier, A. Majchrowski, E. Michalski
Summary: The study outlines the mechanisms for scaling the OAM from a Gaussian beam with no OAM up to integers, utilizing two different biaxial crystals in the cascaded conical diffraction process. Experimental visualization of the OAM is achieved through interference patterns and a cylindrical lens, with results well described by a numerical model. The role of each crystal in the cascade for OAM increment is displayed simply in Fourier space.
Article
Mathematics, Applied
Monica-Felicia Bota, Liliana Guran
Summary: The purpose of this paper is to prove fixed point results for cyclic-type operators in extended b-metric spaces. The considered operators are generalized phi-contractions and alpha-phi contractions. The last section is dedicated to applications of these results to integral type equations and nonlinear fractional differential equations using the Atangana-Baleanu fractional operator.
Article
Mathematics
Ahmed Bakhet, Fuli He, Mimi Yu
Summary: This paper focuses on the extensions of the Bessel matrix function and the modified Bessel matrix function, introducing their integral representations, differentiation formulas, and hypergeometric representations. As an application, a specific type of second-order matrix differential equations is studied, demonstrating that the extended modified Bessel matrix function serves as a particular solution for these equations.
LINEAR & MULTILINEAR ALGEBRA
(2022)
Article
Mathematics, Interdisciplinary Applications
M. Abdelhakem
Summary: This article introduces a novel fractional integration tool, namely the fractional shifted Legendre integration matrix, and designs two algorithms to solve different types of integral equations. Error analysis for the spectral expansion ensures its convergence. Finally, several examples are illustrated, including an application for the population model.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2023)
Article
Materials Science, Multidisciplinary
Oleksandr P. Boiko, Bohdan Ya Lenyk, Oleg Yu Posudievskiy, Yurii L. Slominskiy, Sergii A. Tsybulia, Yuriy A. Nastishin, Vassili G. Nazarenko
Article
Biophysics
Yuriy Stetsyshyn, Joanna Raczkowska, Khrystyna Harhay, Kamil Awsiuk, Yana Shymborska, Svyatoslav Nastyshyn, Halyna Ohar, Viktor Vasilyev, Dmytro Ostapiv, Mykola Sharan, Olha Sharan, Stanislav Voronov, Andrzej Budkowski
Article
Telecommunications
Yurii Zdorenko, Oleksandr Lavrut, Tetiana Lavrut, Yuriy Nastishin
WIRELESS PERSONAL COMMUNICATIONS
(2020)
Article
Engineering, Electrical & Electronic
S. Herasimov, M. Borysenko, E. Roshchupkin, V. Hrabchak, Yu A. Nastishin
Summary: This paper introduces a method for designing a second-order recursive filter that is optimal in terms of bias error, and proposes a method for synthesizing the parameters of correlation filter spectrum analyzers based on this filter. By transitioning from analog to digital filtering, the technical characteristics of spectrum analyzers based on dynamic filters are improved. The study optimizes the structure of a second-order recursive narrowband digital dynamic filter by minimizing relative dispersion in power spectral density estimation.
JOURNAL OF ELECTRONIC TESTING-THEORY AND APPLICATIONS
(2021)
Article
Materials Science, Multidisciplinary
Egle Jatautiene, Jurate Simokaitiene, Galyna Sych, Dmytro Volyniuk, Khrystyna Ivaniuk, Pavlo Stakhira, Volodymyr Fitio, Halyna Petrovska, Viktoriya Savaryn, Yuriy Nastishin, Juozas Grazulevicius
Summary: Derivatives of indolo[3,2-b]carbazole containing differently substituted triphenyl ethenyl moieties were synthesized and characterized as multifunctional materials for optoelectronic devices. The compounds demonstrated high thermal stability and modification of the substituents of triphenyl ethenyl moiety affected their thermal, photophysical, and charge-transporting properties. Addition of tetraphenylethylene and triphenyl acrylonitrile fragments resulted in aggregation induced emission or aggregation enhanced emission. Optoelectronic devices containing these compounds showed promising electroluminescent properties with maximum external quantum efficiency of up to 3.0% and maximum brightness of up to 18,800 cd/m2.
APPLIED MATERIALS TODAY
(2021)
Review
Polymer Science
Svyatoslav Nastyshyn, Yuriy Stetsyshyn, Joanna Raczkowska, Yuriy Nastishin, Yuriy Melnyk, Yuriy Panchenko, Andrzej Budkowski
Summary: This review summarizes the fabrication and characterization methods of temperature-responsive polymer brush coatings (TRPBCs), and presents their potential applications, advantages, and disadvantages. Special attention is given to the thermo-responsibility mechanisms of TRPBCs, and their applications in temperature-switchable bacteria killing, temperature-controlled protein adsorption, cell culture, and temperature-controlled adhesion/detachment of cells and tissues are considered. The specific criteria required for desired biomedical applications of TRPBCs are presented and discussed.
Article
Optics
Ye D. Khaustov, Ye Ya. Khaustov, Ye Ryzhov, E. Lychkowskyy, R. Vlokh, Yu A. Nastishin
Summary: This study proposes a novel approach for fusing visible and infrared images based on the analogy with the Jones vector of elliptically polarized light wave, using a complex 2D vector (ψ) composed of the images. By transposing and transforming the vector, fused images can be synthesized using different fusion algorithms under smoothly varying parameters of the J matrix components. This method allows for dynamic synthesis and animation of fused images over time.
UKRAINIAN JOURNAL OF PHYSICAL OPTICS
(2021)
Article
Optics
A. Yu Nastishin, T. Dudok, V. Savaryn, M. Kostyrko, Yu. Vasylkiv, V. Hrabchak, Ye. Ryzhov, R. Vlokh
Summary: In this study, liquid-crystal textures with non-uniform director-field configurations and azimuthal singularities are considered for generating vector and scalar optical vortex beams. Optical characterization of a dye-doped nematic is performed to quantitatively assess these possibilities. The use of a light-absorbing dopant allows for the generation of vector beams in transmitted or fluorescent lights, with measurement of fluorescence also conducted.
UKRAINIAN JOURNAL OF PHYSICAL OPTICS
(2021)
Article
Operations Research & Management Science
Oleksandr Maistrenko, Yevhen Ryzhov, Dmytro Khaustov, Sergiy Tsybulia, Yuriy Nastishin
Summary: A queuing theory approach is used to enhance a decision-making model for military units when executing tasks, taking into consideration limited waiting time for requests. The model factors in the dynamics of receiving reconnaissance information and the organizational structure processing the information, providing recommendations to increase the likelihood of on-site utilization of information during combat activities.
MILITARY OPERATIONS RESEARCH
(2021)
Article
Physics, Multidisciplinary
Bing-Xiang Li, Yuriy A. Nastishin, Hao Wang, Min Gao, Sathyanarayana Paladugu, Ruipeng Li, Masafumi Fukuto, Quan Li, Sergij Shiyanovskii, Oleg D. Lavrentovich
PHYSICAL REVIEW RESEARCH
(2020)
Article
Polymer Science
Yuriy Melnyk, Yurij Stetsyshyn, Volodymyr Skorokhoda, Yuriy Nastishin
JOURNAL OF POLYMER RESEARCH
(2020)
Article
Instruments & Instrumentation
Ye Ryzhov, L. Sakovych, V Romanenko, D. Khaustov, Yu Nastishin
UKRAINIAN METROLOGICAL JOURNAL
(2020)
Article
Chemistry, Multidisciplinary
O. Kurochkin, O. Buluy, V. Nazarenko, Yu. Nastishin, J. Varshal, M. Manevich
MOLECULAR CRYSTALS AND LIQUID CRYSTALS
(2020)
Article
Chemistry, Multidisciplinary
Svyatoslav Nastyshyn, Joanna Raczkowska, Yurij Stetsyshyn, Barbara Orzechowska, Andrzej Bernasik, Yana Shymborska, Monika Brzychczy-Wloch, Tomasz Gosiewski, Ostap Lishchynskyi, Halyna Ohar, Dorota Ochonska, Kamil Awsiuk, Andrzej Budkowski
Article
Optics
S. Yu Nastyshyn, I. M. Bolesta, S. A. Tsybulia, E. Lychkovskyy, Z. Ya Fedorovych, D. Ye Khaustov, Ye Ryzhov, P. Vankevych, Yu A. Nastishin
