Frequency Spectrum and Electromagnetic Fields Distribution in Cavity Microwave Resonator with Metal Pins Inside

Abstract

An experimental and numerical research of the frequency spectrum probabilistic properties and electromagnetic field distribution in a cavity cylindrical microwave resonator has been performed. We made this research for three possible cases of a singular inhomogeneity’s location in the resonator’s cavity: the absence of inhomogeneities, the symmetric location of the inhomogeneities, and an asymmetric location of inhomogeneities. We worked with microwave resonator at the centimeter and millimeter wavebands. Resonator had the form of an aluminum hollow cylinder with two circular sourced holes in its sidewall. Brass pins were used as singular inhomogeneities. Diameter of pins is equivalent to the wavelength at the upper limit of the working frequency range. Numerical simulating calculations were performed using the CST Microwave Studio. The aim of numerical research is to confirm the experimental results for a similar model of the resonator system. Frequency spectra data were obtained using experimental and simulation results. We built the probability distribution of the inter-frequency intervals to determine signs of wave chaos in the studied resonator with inhomogeneities. We found the Poisson distribution in the probability distribution of the inter-frequency intervals in the case of the empty microwave cavity resonator (without pins) and in the case when metal pins inside the microwave cavity has symmetrical location relatively to the central axis of the resonator. In the case, when metal pins are located asymmetrically, the probability distribution of inter-frequency intervals becomes similar to the Wigner distribution.