Multi-knots Möbius Strips: Applications in oscillator circuits

Möbius-Strip, Möbius-Coupling, Möbius-Group and Möbius-Transformations have captured the interest of RF Design engineers because of distinctive properties. The geometry of Möbius-Strip is conformal, continuous, and map one-to-one onto itself, exhibits unique coupling dynamics in such a way that signal coupled to strips doe not encounter any obstructions when travelling around the multi-knots loop, and the loop would act like an infinite transmission line, enabling large group delay and high Q-factor. In this paper, a novel multi-knot Möbius-Strips resonator based tunable signal source is discussed, and validated with the example of 23 GHz VCO, measured FOM @ 1MHz offset is -214 dBc/Hz with 4.21V, 71mA.