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Temperature and Frequency Dependence of Complex Permittivity in Metal Oxide Dielectrics: Theory, Modelling and Measurement (Hardcover, 1st ed. 2016)
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Temperature and Frequency Dependence of Complex Permittivity in Metal Oxide Dielectrics: Theory, Modelling and Measurement (Hardcover, 1st ed. 2016)
Series: Springer Theses
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This thesis investigates the dielectric properties of metal-oxide
ceramics at microwave frequencies. It also demonstrates for the
first time that a theory of harmonic phonon coupling can
effectively predict the complex permittivity of metal oxides as a
function of temperature and frequency. Dielectric ceramics are an
important class of materials for radio-frequency, microwave and
emergent terahertz technologies. Their key property is complex
permittivity, the real part of which permits the miniaturisation of
devices and the imaginary part of which is responsible for the
absorption of electromagnetic energy. Absorption limits the
practical performance of many microwave devices such as filters,
oscillators, passive circuits and antennas. Complex permittivity as
a function of temperature for low-loss dielectrics is determined by
measuring the resonant frequency of dielectric resonators and using
the radial mode matching technique to extract the dielectric
properties. There have been only a handful of publications on the
theory of dielectric loss, and their predictions have often been
unfortunately unsatisfactory when compared to measurements of real
crystals, sometimes differing by whole orders of magnitude. The
main reason for this is the lack of accurate data for a harmonic
coupling coefficient and phonon eigenfrequencies at arbitrary q
vectors in the Brillouin zone. Here, a quantum field theory of
losses in dielectrics is applied, using results from density
functional perturbation theory, to predict from first principles
the complex permittivity of metal oxides as functions of frequency
and temperature.
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