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Diffraction on Spatial and/or Deep Objects
Hrabec, Aleš ; Petráček, Jiří (referee) ; Kotačka, Libor (advisor)
This discourse deals with a theoretical study of the radiation passage through a diffraction screen with non-zero size in the propagation direction of the radiation, i.e. the radiation passage through a three-dimensional object. Without any loss of generality, we solve the problem for cylindrical cavity in metal. The task exceeds evidently standard scalar theory of diffraction, thus we solve the problem using a waveguiding theory. Following the principles of the electromagnetic theory, we derive required formulae to determine mode distribution at the entry of the cavity. Further, we solve numerically the radiation propagation through the cavity, then we actually seek for radiation distribution at the very end of the cavity. This yields, with a help of the discrete Fourier transform, an intensity distribution of Fraunhofer diffraction pattern, consequently compared with an intesity distribution of the radiation pattern of Fraunhofer diffraction on infinitely thin circular opening having the radius of the cylinder cavity under study. A comparison of such patterns results to a conclusion, that the cavity length has a significatn influence on the diffraction pattern and more importantly, that the scalar diffraction theory appears incorrect for a coherent light passage through cavities longer than their radius squared. Similarly, the same conclusion is inversely proportional to a wavelength of the interacting radiation. Finally, we mention an existence of the so called "focal regime", when the radiation repeatedly exhibits roughly one order increased intensity on the symmetry axis of the cavity.
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Numerical refocusing in a digital holographic microscope with a partially coherent illumination
Slabá, Michala ; Komrska, Jiří (referee) ; Chmelík, Radim (advisor)
The bachelor thesis deals with issue of numerical refocusing in a holographic microscope with partially space coherent light. The numerical refocusing is a computation of the complex amplitude of an image wave in planes differing from the image plane. The calculation of the region where the numerical refocusing is usable is based on application of Rayleigh-Sommerfeld diffraction integral and the Fresnel approximation of a spherical wave. The description of coherence state and propagation of partially coherent light follows from statistical methods in optical coherence theory. In this thesis the thickness of field is calculated where the numerical refocusing is usable. The thickness depends on microscope parameters - the size of the light source and parameters of lenses in microscope. The result is applied to the microscope in the laboratory IPE FME BUT.
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Diffraction on Spatial and/or Deep Objects
Hrabec, Aleš ; Petráček, Jiří (referee) ; Kotačka, Libor (advisor)
This discourse deals with a theoretical study of the radiation passage through a diffraction screen with non-zero size in the propagation direction of the radiation, i.e. the radiation passage through a three-dimensional object. Without any loss of generality, we solve the problem for cylindrical cavity in metal. The task exceeds evidently standard scalar theory of diffraction, thus we solve the problem using a waveguiding theory. Following the principles of the electromagnetic theory, we derive required formulae to determine mode distribution at the entry of the cavity. Further, we solve numerically the radiation propagation through the cavity, then we actually seek for radiation distribution at the very end of the cavity. This yields, with a help of the discrete Fourier transform, an intensity distribution of Fraunhofer diffraction pattern, consequently compared with an intesity distribution of the radiation pattern of Fraunhofer diffraction on infinitely thin circular opening having the radius of the cylinder cavity under study. A comparison of such patterns results to a conclusion, that the cavity length has a significatn influence on the diffraction pattern and more importantly, that the scalar diffraction theory appears incorrect for a coherent light passage through cavities longer than their radius squared. Similarly, the same conclusion is inversely proportional to a wavelength of the interacting radiation. Finally, we mention an existence of the so called "focal regime", when the radiation repeatedly exhibits roughly one order increased intensity on the symmetry axis of the cavity.
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Numerical refocusing in a digital holographic microscope with a partially coherent illumination
Slabá, Michala ; Komrska, Jiří (referee) ; Chmelík, Radim (advisor)
The bachelor thesis deals with issue of numerical refocusing in a holographic microscope with partially space coherent light. The numerical refocusing is a computation of the complex amplitude of an image wave in planes differing from the image plane. The calculation of the region where the numerical refocusing is usable is based on application of Rayleigh-Sommerfeld diffraction integral and the Fresnel approximation of a spherical wave. The description of coherence state and propagation of partially coherent light follows from statistical methods in optical coherence theory. In this thesis the thickness of field is calculated where the numerical refocusing is usable. The thickness depends on microscope parameters - the size of the light source and parameters of lenses in microscope. The result is applied to the microscope in the laboratory IPE FME BUT.
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