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Modeling of surface waves
Zgabaj, Martin ; Haluza, Miloslav (referee) ; Franců, Jan (advisor)
This bachelor's thesis presents the derivation of basic characteristics of surface waves which includes the dispersion relation, the shape of the wave, the phase velocity, the group velocity and the movement of water particle. Thesis deals with both deep-water waves and shallow-water waves. Derived characteristics are examined in both cases. In the last part of thesis there are specific examples of those two types of waves.
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Physics of Metamaterials
Láska, Martin ; Kalousek, Radek (referee) ; Dub, Petr (advisor)
The bachelor work deals with electrodynamics of metamaterials for which both the electric permittivity and magnetic permeability are simultaneously negative. It is shown that the double negative media are described by a negative refraction index which has an important impact on optics laws. In particular, the negative refraction is demonstrated by simulation of interaction of the Gauss monochromatic beam impinging on a negative refractive material. Next, the electromagnetic energy propagation in the negative refractive materials is studied. It is shown that the energy propagation velocity equals the group velocity, which has the opposite sign than the phase velocity. Finally, Fresnel formulas valid both for positive and negative refraction index are given.
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Surface Wave Analysis and Inversion-Application to the Bohemian Massif
Kolínský, Petr ; Prokop Brokešová, Johana (advisor) ; Novotný, Oldřich (referee) ; Růžek, Bohuslav (referee)
title: Surface Wave Analysis and Inversion Application to the Bohemian Massif author: Mgr. Petr Kolínský, DiS. author's e-mail address: kolinsky@irsm.cas.cz departments: Department of Geophysics Faculty of Mathematics and Physics Charles University Prague V Holešovičkách 2, Praha 8 - 180 00, Czech Republic and Department of Seismology Institute of Rock Structure and Mechanics, v.v.i. Academy of Sciences of the Czech Republic V Holešovičkách 41, Praha 8 - 182 09, Czech Republic supervisor: RNDr. Johana Brokešová, CSc. supervisor's e-mail address: johana.brokesova@mff.cuni.cz consultant: RNDr. Jiří Málek, PhD. consultant's e-mail address: malek@irsm.cas.cz keywords: surface waves, group velocity, phase velocity, frequency-time analysis, multiple filtering, tomography, inversion problems, Earth crust structure, Bohemian Massif An overview of surface wave analysis methods as well as of inversion techniques is given. Special attention is paid to the multiple filtering method for dispersion curve estimation, which is described by two different ways in detail. The isometric method is used for dispersion curve inversion and its description and tests are presented. Described methods are further used in applications. The applications show examples of surface wave analysis and inversion for 1D and 2D...
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Application and interpretation of seismic surface waves in broad frequency range
Gaždová, Renata ; Vilhelm, Jan (advisor) ; Novotný, Oldřich (referee) ; Holub, Karel (referee)
Submitted Ph.D. thesis is concerning the application and interpretation of seismic surface waves in a broad range of frequencies and scales. Using surface waves as a supplement to the methods dealing with body waves seems to be worth the effort. Surface wave interpretation can be used to obtain new information about the studied medium and simultaneously it can overcome, in some cases, the limitations of other seismic techniques. Moreover, surface waves are usually present on measured records and hence for its usage it is not necessary to modify the standard measuring procedures. One of the results of this thesis is an original algorithm for dispersive waveform calculation. The program works in an arbitrary range of frequencies and scales. The input parameter for the calculation is the dispersion curve. In this point the algorithm differs from all other approaches used so far. Algorithm is based on a summation of frequency components with shifts corresponding to the velocity dispersion and distance. The resulting waveform only contains an individual dispersive wave of the selected mode, thus being particularly suitable for testing of methodologies for dispersive wave analysis. The algorithm was implemented into the program DISECA. Furthermore, a new procedure was designed to calculate the dispersion...
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Surface Wave Analysis and Inversion-Application to the Bohemian Massif
Kolínský, Petr ; Prokop Brokešová, Johana (advisor) ; Novotný, Oldřich (referee) ; Růžek, Bohuslav (referee)
title: Surface Wave Analysis and Inversion Application to the Bohemian Massif author: Mgr. Petr Kolínský, DiS. author's e-mail address: kolinsky@irsm.cas.cz departments: Department of Geophysics Faculty of Mathematics and Physics Charles University Prague V Holešovičkách 2, Praha 8 - 180 00, Czech Republic and Department of Seismology Institute of Rock Structure and Mechanics, v.v.i. Academy of Sciences of the Czech Republic V Holešovičkách 41, Praha 8 - 182 09, Czech Republic supervisor: RNDr. Johana Brokešová, CSc. supervisor's e-mail address: johana.brokesova@mff.cuni.cz consultant: RNDr. Jiří Málek, PhD. consultant's e-mail address: malek@irsm.cas.cz keywords: surface waves, group velocity, phase velocity, frequency-time analysis, multiple filtering, tomography, inversion problems, Earth crust structure, Bohemian Massif An overview of surface wave analysis methods as well as of inversion techniques is given. Special attention is paid to the multiple filtering method for dispersion curve estimation, which is described by two different ways in detail. The isometric method is used for dispersion curve inversion and its description and tests are presented. Described methods are further used in applications. The applications show examples of surface wave analysis and inversion for 1D and 2D...
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Modeling of surface waves
Zgabaj, Martin ; Haluza, Miloslav (referee) ; Franců, Jan (advisor)
This bachelor's thesis presents the derivation of basic characteristics of surface waves which includes the dispersion relation, the shape of the wave, the phase velocity, the group velocity and the movement of water particle. Thesis deals with both deep-water waves and shallow-water waves. Derived characteristics are examined in both cases. In the last part of thesis there are specific examples of those two types of waves.
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Physics of Metamaterials
Láska, Martin ; Kalousek, Radek (referee) ; Dub, Petr (advisor)
The bachelor work deals with electrodynamics of metamaterials for which both the electric permittivity and magnetic permeability are simultaneously negative. It is shown that the double negative media are described by a negative refraction index which has an important impact on optics laws. In particular, the negative refraction is demonstrated by simulation of interaction of the Gauss monochromatic beam impinging on a negative refractive material. Next, the electromagnetic energy propagation in the negative refractive materials is studied. It is shown that the energy propagation velocity equals the group velocity, which has the opposite sign than the phase velocity. Finally, Fresnel formulas valid both for positive and negative refraction index are given.
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