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Analýza Van der Polova oscilátoru
Huf, Milan ; Hadraba, Petr (oponent) ; Rubeš, Ondřej (vedoucí práce)
Tato práce se zabývá studiem nelineárních systémů, především Van der Polovým oscilátorem. Teoretická část této práce je věnována základní teorii nelineárního kmitání. Cílem praktické části této práce je popsat chování buzeného (nehomogenního) a nebuzeného (homogenního) Van der Polova oscilátoru.
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Behaviour of Objects in Structured Light Fields and Low Pressures
Flajšmanová, Jana ; Čižmár, Tomáš (oponent) ; Marago, Onofrio (oponent) ; Zemánek, Pavel (vedoucí práce)
A deeper understanding of behaviour of optically trapped particles reveals underlying physical phenomena arising from the light-matter interaction. We present an explanation of the enhancement of the pulling force acting on optically bound particles in the structured optical field, so--called tractor beam. It is demonstrated that the motion of two optically bound objects in a tractor beam strongly depends on their mutual distance and spatial orientation, which adds an extra flexibility to our ability to control matter with light.\newline Subsequently, the thesis is focused on the optical levitation of a particle in a vacuum. We propose a novel methodology for a characterization of properties of a weakly nonlinear Duffing oscillator represented by an optically levitated nanoparticle. The method is based on averaging recorded trajectories with defined initial positions in the phase space of nanoparticle position and momentum and provides us with the oscillator parameters directly from the recorded motion. Our innovative approach is compared with the commonly used power--spectral--density fitting, and exploiting numerical simulations, we show its applicability even at lower pressures where the nonlinearity starts to play a~significant role.
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Behaviour of Objects in Structured Light Fields and Low Pressures
Flajšmanová, Jana ; Čižmár, Tomáš (oponent) ; Marago, Onofrio (oponent) ; Zemánek, Pavel (vedoucí práce)
A deeper understanding of behaviour of optically trapped particles reveals underlying physical phenomena arising from the light-matter interaction. We present an explanation of the enhancement of the pulling force acting on optically bound particles in the structured optical field, so--called tractor beam. It is demonstrated that the motion of two optically bound objects in a tractor beam strongly depends on their mutual distance and spatial orientation, which adds an extra flexibility to our ability to control matter with light.\newline Subsequently, the thesis is focused on the optical levitation of a particle in a vacuum. We propose a novel methodology for a characterization of properties of a weakly nonlinear Duffing oscillator represented by an optically levitated nanoparticle. The method is based on averaging recorded trajectories with defined initial positions in the phase space of nanoparticle position and momentum and provides us with the oscillator parameters directly from the recorded motion. Our innovative approach is compared with the commonly used power--spectral--density fitting, and exploiting numerical simulations, we show its applicability even at lower pressures where the nonlinearity starts to play a~significant role.
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Analýza Van der Polova oscilátoru
Huf, Milan ; Hadraba, Petr (oponent) ; Rubeš, Ondřej (vedoucí práce)
Tato práce se zabývá studiem nelineárních systémů, především Van der Polovým oscilátorem. Teoretická část této práce je věnována základní teorii nelineárního kmitání. Cílem praktické části této práce je popsat chování buzeného (nehomogenního) a nebuzeného (homogenního) Van der Polova oscilátoru.
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