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We have found an improved form of a Bessel function for accurate and efficient numerical computation. This approximation is good for used in studying a higher order mode in a cylindrical system such as an overmoded waveguide or a fusion gyrotron cavity. The approximated solution is a fine tuned combination of a series expansion and an asymptotic form.
We have performed a detailed benchmark of a conformal finite difference time domain (CFDTD) method for applications in fusion gyrotron study. The accuracy and efficiency of simulations are the main concerns as a fusion gyrotron cavity is a computationally large scale model. Therefore, the validation of a simulation method is important for us to adopt it for the future study. Here we use a simple circular...
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