We present the results of computer simulation of the properties of modes in a two-dimensional open resonator with a conducting cylindrical insert. An increase in the diffraction Q-factor of the fundamental mode by 2-3 orders of magnitude due to the conducting cylindrical insert is found and studied. The prospects of using this phenomenon for controlling the spectrum, frequencies, and Q-factors of excited modes are discussed. The tunability of the open resonator with a conducting cylindrical insert for one (fundamental) mode in a wide frequency range is shown.
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