Phase Locking of Relativistic Magnetrons

Abstract

Phase locking of relativistic magnetrons has been achieved at power levels of ~3 GW at 2.8 GHz, exceeding previous phase-locking power levels by 3 orders of magnitude. Two relativistic magnetrons interact directly through a short waveguide of length l~~nX/2 to allow locking. Power-density enhancement due to source coherence is directly measured in the radiation field. Phase locking occurs in ~5 ns and is reproducible. Extension to 10-100 GW appears feasible with arrays of oscillators.

Modulation of synchronization dynamics in a network of self-sustained systems

“…The synchronization of nonlinear oscillations occurring in networks, such as arrays or rings, is a rather attractive topic due to the enormous variety of potential applications. For instance, arrays of coupled nonlinear oscillators have been used for the description of Josephson-junctions [1], multimodes lasers [2,3], relativistic magnetrons [4]. Furthermore, arrays of oscillators also arise in studies of biological rhythms of the heart [5], nervous system [5,6], intestines [7], pancreas [8] and other biological systems [9][10][11][12].…”

Synchronization enhancement via an oscillatory bath in a network of self-excited cells

“…[14]. The benefits of synchronization do not lie only in those situations where it can be found or explained in nature, but also in possible technological applications such as communication engineering, biology, chemistry and so on [15][16][17][18][19][20][21][22][23][24].…”

Amplitude death in nonlinear oscillators with mixed time-delayed coupling

“…The phenomenon of AD has been observed in the different contexts of chemical reactions [12][13][14], biological oscillators [15][16][17][18], laser systems [19][20][21], and relativistic magnetrons [22]. AD is of particular importance in controlling (or even maintaining) the oscillatory dynamics of realistic systems, and therefore understanding the onset conditions of AD is crucial.…”