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Cylindrical Cavity Optimization for Resonant-Tunneling Diode Oscillators

In this work, the theoretical shapes of cavities were investigated as suited for resonant-tunneling diode (RTD) lumped-element oscillators to achieve the highest possible operational frequency. The scope of this work is restricted to cylindrical cavities that are in their dimensions much smaller or similar to the free-space wavelength. The idea is to find a shape that has the highest quality factor possible. The proposed analysis is based on functional variation principles coupled with electric-field integral equation (EFIE) method of moments solver. Simple design parameters were found covering the cavities that are much smaller than the free-space wavelength. The maximum reachable frequency was calculated with these types of new cavities using some theoretical RTD parameters. The theoretical limitation of frequency was also defined for given RTD parameters and fabrication limitations originating from the contact resistance and RTD radius. In order to demonstrate the significance of the findings, a theoretical geometry was compared with a practical resonator shape.