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Analytical solution of diffraction by planar periodic structures
Kuchařík, Jan ; Antoš, Roman (advisor) ; Ostatnický, Tomáš (referee)
In my research work, I study diffraction by planar periodic structures (diffraction grating). In the first chapter, I try to familiarize the importance of diffraction gratings in spectroscopy. The second chapter explains the basic principle of diffraction without involving difficult mathematical tools. In the third chapter, I deduce Fourier modal method from Maxwell equations, a modern mathematical approach used for calculating the electromagnetic response of diffraction. The most important part of my work consists of the fourth and fifth chapter. At first, I try to utilize Fourier modal method for deriving formulas involving just 0th and (-1)st diffraction orders. Because of the unreasonable difficulty of uncovered formulas, I decided to consider only a special case - so-called Littrow configuration, in which the solution can be superposed from symmetric and antisymmetric couples of rays. I further develop so-called Local modal method - very inaccurate, but mathematically fairly simple, and discuss its physical limitations. Whole work is finished by the sixth chapter, which compares accurate computations gained from simulation and derived analytical formulas for both methods.
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Surface plasmons in optical microstructures and their sensor applications
Adam, Pavel ; Homola, Jiří (advisor) ; Brynda, Eduard (referee) ; Richter, Ivan (referee)
Title: Surface plasmons in optical microstructures and their sensor applications Author: Pavel Adam Institute: Institute of Photonics and Electronics AS CR, v.v.i., Department of Optical Sensors Supervisor of the doctoral thesis: doc. Ing. Jiří Homola, CSc., DSc. Abstract: This work is focused on the study of surface plasmon resonance (SPR) sensor platforms based on wavelength division multiplexing (WDM) of multiple surface plasmons (SPs). These sensors are based on advanced diffraction gratings supporting either conventional or Bragg-scattered SPs, which are simultaneously excited at different wavelengths. These SPs are studied both analytically and numerically using rigorous coupled-wave analysis and an integral approach. WDM of two and three SPs is presented and followed by the method for the analysis of the resolution, noise and cross-sensitivity. This method is employed to analyze the ability of different SPR sensor platforms (supporting WDM of two SPs) to discriminate refractive index (RI) changes in a thin layer at the sensor surface from background RI changes. The WDM SPR sensors based on advanced diffraction gratings prepared by interferometric holography are developed and tested in a model biosensing experiment consisting of the layer-by-layer growth of protein multilayers. The linear WDM of two...
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