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Discovery of Bragg confined hybrid modes with high factor in a hollow dielectric resonator
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Image of FIG. 1.
FIG. 1.

(Color online) Left: Schematic of the cavity showing the hollow cylindrical alumina structure supported by Teflon posts loaded inside a silver plated copper cavity. Right: top right quadrant of the structure showing dimensions.

Image of FIG. 2.
FIG. 2.

(Color online) Calculated and fitted loss tangents from the results presented in Table I, and the calculation from Eq. (1). The calculation is only accurate above when . Typically in this regime, unloaded -factor measurements are of order 20% accurate, which is reflected in the error bars.

Image of FIG. 3.
FIG. 3.

(Color online) Calculated and measured frequencies of some higher order confined Bragg modes.

Image of FIG. 4.
FIG. 4.

(Color online) Measured and calculated unloaded factors of the Bragg modes in Fig. 3. The measurement is made by measuring the bandwidth in transmission in the low coupling regime, see Fig. 6, for example. Typically, these types of measurement are about 20% accurate.

Image of FIG. 5.
FIG. 5.

(Color online) Density plot (modulus squared) of the dominant electric and magnetic field components for the mode of , as calculated using the method of lines (see Table I for filling factors). The hollow alumina cylinder is outlined (along with the Teflon supports), which confines the field in the internal free space region.

Image of FIG. 6.
FIG. 6.

(Color online) Measurement of the factor of the Bragg mode. Resonance frequency is , loss on resonance is high illustrating low coupling, and measured resonance bandwidth is giving an unloaded factor of 192 000. Note that the mode exists as a doublet due to the degeneracy for even (cosine) and odd (sine) mode dependences along the azimuth when .


Generic image for table
Table I.

Characteristics of the mode family ( is the azimuthal mode number), including measured , calculated frequency GHz, measured factor , calculated electric energy filling factor , and factor, . The permittivity is estimated to be 9.73 to allow agreement with the calculated and measured frequencies. The material loss tangent is calculated using Eq. (1) and shown in Fig. 2


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Scitation: Discovery of Bragg confined hybrid modes with high Q factor in a hollow dielectric resonator