Numerické modelování periodických struktur

NUMERICAL MODELING OF PERIODICAL STRUCTURES

teze Ph.D. práce

čeština

Práce se zabývá zkoumáním dynamického elektromagnetického pole na periodických strukturách. Pozornost je zaměřena na tři hlavní typy rezonančních struktur, podle možnosti jejich využití. Prvním typem jsou materiály realizující záporný index lomu dopadajícího elektromagnetického vlnění. Druhým typem jsou struktury s postupnou změnou impedance, využitelné jako bezodrazové povrchy. Třetím typem jsou periodické struktury, které jsou schopné vhodným způsobem tvarovat rozložení elektromagnetického pole a umožňují realizaci magnetoinduktivní čočky pro nukleární magnetickou rezonanci.

The presented dissertation thesis analyses artefacts in diffusion-weighted images. In medical practice, the artefacts can impede the diagnostics of pathological tissues and, therefore, need to be eliminated. As the first step within the thesis, an analysis of the most frequent artefacts in diffusion-weighted images is performed, and the hitherto known approaches to artefact elimination are described. In order to facilitate the reduction of artefacts caused by the inhomogeneity of the static magnetic field and induced by eddy currents, a novel three-measurement method is shown. This technique will find application especially in measuring the diffusion coefficient of isotropic materials. At this point, it is important to note that a significant and commonly found problem is the magnetic susceptibility artefact; different magnetic susceptibility values at the boundary between two materials can cause magnetic field inhomogeneities and even complete loss of the signal. Therefore, we designed a novel method for the measurement of magnetic susceptibility in various samples of magnetically incompatible materials, which do not produce any MR signal. The technique was experimentally verified using a set of differently shaped diamagnetic and paramagnetic samples. In addition to the magnetic susceptibility problem, the thesis presents artefacts such as noise, motion-induced items, hardware limitations, chemical shift, and the dependence of the diffusion coefficient on the temperature. To enable precise measurement of the diffusion coefficient, we proposed a thermal system; in the experiment, it was determined that when the measurement error does not exceed 5%, the temperature change should not be higher than 0,1 C. In the final sections of the thesis, practical application examples involving the designed methods are shown.

Artefakt, difuzně vážený obraz, eliminace artefaktů, magnetická susceptibilita, metoda tří měření, nehomogenita magnetického pole

Artefact, diffusion-weighted imaging, artefact elimination, magnetic susceptibility, three measurement method, magnetic field inhomogeneity.

NEŠPOR, D.

28. 8. 2014

Brno

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