Geodesic
Submillimeter-wave magnetron with the elongated anode: Optimal parameters of oscillatory circuit
Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 23 (2015) no. 1, pp. 53-61.

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The estimation of optimal parameters with the analytical model regarding nonlinear electron motion dynamics is fulfilled for the submillimeter-wave M-type oscillator tor operating on frequency about 0.33 THz with anode voltage 13 vV and magnetic field 0.7 Т. Revealing from this model, the magnetron interaction space geometry providing the effective electron interaction with a high-frequency field on (+1) spatial harmonic of $\pi$-mode oscillations is proposed for the drift-orbital resonance regime. Using three-dimensional numerical simulation, the selected oscillation circuit geometry is verified and the system suitableness is confirmed on the operation frequency. Also directions of the system optimization are specified. The possibility to design magnetrons with rather low operating anode voltages, magnetic fields and with the increased service life is shown in the terahertz band.
Keywords: Submillimeter-wave range, oscillating circuit with an elongated anode magnetron, drift-orbital resonance, non-linear analytical model, three-dimensional numerical model. 
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     author = {V. D. Yeryomka and O. P. Kulagin and J.-I. Kim},
     title = {Submillimeter-wave magnetron with the elongated anode: {Optimal} parameters of oscillatory circuit},
     journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
     pages = {53--61},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVP_2015_23_1_a3/}
}
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V. D. Yeryomka; O. P. Kulagin; J.-I. Kim. Submillimeter-wave magnetron with the elongated anode: Optimal parameters of oscillatory circuit. Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 23 (2015) no. 1, pp. 53-61. http://geodesic.mathdoc.fr/item/IVP_2015_23_1_a3/