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SMV-2023-01: Relief structures based on diffractive optics
Horáček, Miroslav ; Kolařík, Vladimír ; Matějka, Milan ; Krátký, Stanislav ; Chlumská, Jana ; Meluzín, Petr ; Král, Stanislav
Research and development in the field of physical realization of graphic and optical structures based on the principle of diffractive optics by means of electron beam lithography in a recording material supported by a silicon or glass board. The research covers the analysis of the graphical or optical motive, research and application of relief structures implementing the required graphic and optical properties, research and modeling of the physical possibilities of implementation of relief structures, preparation and analysis of technology of implementation of relief structures with regard to the limits of current scientific instruments, verification of theoretical considerations by means of relief structure sample exposure.
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SMV-2023-02: Relief optical elements for shaping light bundles
Horáček, Miroslav ; Kolařík, Vladimír ; Matějka, Milan ; Krátký, Stanislav ; Chlumská, Jana ; Meluzín, Petr ; Král, Stanislav
Research and development in the field of relief optical elements for shaping light bundles, metrology of samples of relief optical elements using various microscopic techniques with regard to analysis of relief degradation in production processes, consulting in the field of lithographic processes focusing on electron beam and subsequent replication processes. Design and optimization of microoptic structures for various configurations of projector lighting systems, metrology of selected optical microstructured reliefs and optical function analysis, optimization of materials for replication of microoptical structures, consulting in the field of replication of deep microoptic elements for various optical surfaces.
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SMV-2022-01: Relief structures based on diffractive optics
Horáček, Miroslav ; Kolařík, Vladimír ; Matějka, Milan ; Krátký, Stanislav ; Chlumská, Jana ; Meluzín, Petr ; Král, Stanislav
Research and development in the field of physical realization of graphic and optical structures based on the principle of diffractive optics by means of electron beam lithography in a recording material supported by a silicon or glass board. The research covers the analysis of the graphical or optical motive, research and application of relief structures implementing the required graphic and optical properties, research and modeling of the physical possibilities of implementation of relief structures, preparation and analysis of technology of implementation of relief structures with regard to the limits of current scientific instruments, verification of theoretical considerations by means of relief structure sample exposure.
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SMV-2021-07: Relief microstructures based on diffractive optics
Horáček, Miroslav ; Kolařík, Vladimír ; Matějka, Milan ; Krátký, Stanislav ; Chlumská, Jana ; Meluzín, Petr ; Král, Stanislav
Research and development in the field of physical realization of graphic and optical structures based on the principle of diffractive optics by means of electron beam lithography in a recording material supported by a silicon or glass board. The research covers the analysis of the graphical or optical motive, research and application of relief structures implementing the required graphic and optical properties, research and modeling of the physical possibilities of implementation of relief structures, preparation and analysis of technology of implementation of relief structures with regard to the limits of current scientific instruments, verification of theoretical considerations by means of relief structure sample exposure.
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SMV-2021-01: Relief structures based on diffractive optics
Horáček, Miroslav ; Kolařík, Vladimír ; Matějka, Milan ; Krátký, Stanislav ; Chlumská, Jana ; Meluzín, Petr ; Král, Stanislav
Research and development in the field of physical realization of graphic and optical structures based on the principle of diffractive optics by means of electron beam lithography in a recording material supported by a silicon or glass board. The research covers the analysis of the graphical or optical motive, research and application of relief structures implementing the required graphic and optical properties, research and modeling of the physical possibilities of implementation of relief structures, preparation and analysis of technology of implementation of relief structures with regard to the limits of current scientific instruments, verification of theoretical considerations by means of relief structure sample exposure.
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Log-optimal investment
Král, Stanislav ; Dostál, Petr (advisor) ; Večeř, Jan (referee)
1. Abstrakt Suppose we have a capital, which we will redistribute into investment op- portunities. The financial valuation of these investments will be a sequence of independent, identically distributed random vectors that acquire finite amount of values. We will have full knowledge of the entire history of these valuations before each investment. It turns out that if our strategy is to always maximizes the mean value of the logarithm of the investment value, denoted by Λ∗ , then this strategy is asymptotically the best one possible. If strategy Λ is not asymptotically close to Λ∗ and if x goes to infinity, then the mean of the time we earn atleast x using Λ∗ is infinitely smaller than the time if we used Λ. We also earn infinitely times more money using the strategy Λ∗ . 1
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Log-optimal investment
Král, Stanislav ; Dostál, Petr (advisor) ; Večeř, Jan (referee)
Suppose we have capital, which we will redistribute into investment oppor- tunities. The financial valuation of these investments will form a sequence of independent, identically distributed random vectors taking values in some clo- sed, positive interval. We will have full knowledge of the entire history of these valuations before each investment. It turns out that if our strategy is to always maximize the mean value of the logarithm return on these investments, then this strategy is in a sense asymptotically optimal. 1
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SMV-2020-20: Relief microstructures based on diffractive optics
Horáček, Miroslav ; Kolařík, Vladimír ; Matějka, Milan ; Krátký, Stanislav ; Chlumská, Jana ; Meluzín, Petr ; Král, Stanislav
Research and development in the field of physical realization of graphic and optical structures based on the principle of diffractive optics by means of electron beam lithography in a recording material supported by a silicon or glass board. The research covers the analysis of the graphical or optical motive, research and application of relief structures implementing the required graphic and optical properties, research and modeling of the physical possibilities of implementation of relief structures, preparation and analysis of technology of implementation of relief structures with regard to the limits of current scientific instruments, verification of theoretical considerations by means of relief structure sample exposure.
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