Study of non-convergence problem of the integral method for polarizer design on the ECRH system

Abstract

On the electron cyclotron resonance heating system, the integral method represents a class of classical mathematical methods for polarizer design. However, the non-convergence problem caused by the Fredholm integral equation of the integral method usually leads to an incorrect result. This sometimes may confuse the beginners. The simplified kernel function based on the infinitesimal approximation is presented in this paper, which effectively solves the non-convergence problem, making it easier to use and simplifying the code of calculation for beginners. A code is developed based on this method, then the calculation results are compared with the calculation results of the coordinate transformation method, and the experimental results of the low power test platform. The comparison results and low power test results indicate that this method can be used for polarizer design.