Turner, GR2016-07-262016-07-262014-09Turner, GR. 2014. A one-dimensional model illustrating virtual-cathode formation in a novel coaxial virtual-cathode oscillator. Physics of Plasmas, Vol 21(9), pp 93-1041070-664Xhttp://scitation.aip.org/content/aip/journal/pop/21/9/10.1063/1.4895500http://hdl.handle.net/10204/8693Copyright: 2014 AIP Publishing.A one-dimensional electrostatic sheet model of a coaxial geometry Virtual Cathode Oscillator (VCO) is presented. The cathode is centrally located and connects to a peripherally located plate electrode to form a resonant cavity, and is thus considered to be a novel design. Charge is modelled as concentric sheets about the cathode whose absolute position and velocity are determined as a function of time by solving the relativistic equations of motion. The model predicts the formation of a virtual cathode between the grid and plate electrodes for the case of a space-charge limited current. Setting the electron reflexing frequency (as a function of the grid potential) comparable with the cavity resonant frequency is predicted to improve the efficiency of microwave emission.enVirtual Cathode OscillatorVCOOne dimensional electrostatic modelA one-dimensional model illustrating virtual-cathode formation in a novel coaxial virtual-cathode oscillator.ArticleTurner, G. (2014). A one-dimensional model illustrating virtual-cathode formation in a novel coaxial virtual-cathode oscillator. http://hdl.handle.net/10204/8693Turner, GR "A one-dimensional model illustrating virtual-cathode formation in a novel coaxial virtual-cathode oscillator." (2014) http://hdl.handle.net/10204/8693Turner G. A one-dimensional model illustrating virtual-cathode formation in a novel coaxial virtual-cathode oscillator. 2014; http://hdl.handle.net/10204/8693.TY - Article AU - Turner, GR AB - A one-dimensional electrostatic sheet model of a coaxial geometry Virtual Cathode Oscillator (VCO) is presented. The cathode is centrally located and connects to a peripherally located plate electrode to form a resonant cavity, and is thus considered to be a novel design. Charge is modelled as concentric sheets about the cathode whose absolute position and velocity are determined as a function of time by solving the relativistic equations of motion. The model predicts the formation of a virtual cathode between the grid and plate electrodes for the case of a space-charge limited current. Setting the electron reflexing frequency (as a function of the grid potential) comparable with the cavity resonant frequency is predicted to improve the efficiency of microwave emission. DA - 2014-09 DB - ResearchSpace DP - CSIR KW - Virtual Cathode Oscillator KW - VCO KW - One dimensional electrostatic model LK - https://researchspace.csir.co.za PY - 2014 SM - 1070-664X T1 - A one-dimensional model illustrating virtual-cathode formation in a novel coaxial virtual-cathode oscillator TI - A one-dimensional model illustrating virtual-cathode formation in a novel coaxial virtual-cathode oscillator UR - http://hdl.handle.net/10204/8693 ER -