Indirect RLC measurement of DECY-13 cyclotron cavity lumped circuit model using impedance measurement

The dee voltage is one of the key parameters to identify the cyclotron RF system specification. However, direct measurement of dee voltage is difficult to do, due to high voltage and the introduction of measuring devices could interfere with local EM field, leading to disturbance of the impedance of the system. Therefore, the dee voltage measurement which is done indirectly by modeling the cavity as a lumped RLC circuit model and calculating the voltage at the lumped RLC circuit is proposed. The RLC equation in the lumped circuit model could be obtained by solving two coupled and transformed equations of the lumped RLC circuit model in frequency domain. The equations consider the inductance values of the coupler. The equation is carried out using Fourier transformation resulting in the RLC equation of the cavity. Through the RLC equation, the RLC value could be obtained by substituting the equation for several values of frequency. To check the consistency of the method, results obtained from the real part of impedance only and from the imaginary part of the impedance only are compared.