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本文介绍计算多层介质微带环谐振器谐振频率的一种频域方法。它是基于电磁场理论中“反应原理”,由求解不同区域中满足边界条件的波动方程出发 ,通过傅立叶 -汉克尔变换得到频域中的一个广义积分方程。根据该方程的数值结果 ,可获得各种模式下的谐振频率随第二层介质层厚度及介电常数的变化曲线。与变分法比较 ,一致性很好。这种微带环谐振器在微波热疗中有着广阔的应用前景 ,本文结果将对临床应用起到一定的指导意义。
This paper presents a frequency domain method for calculating the resonant frequency of a multi-layer dielectric microstrip ring resonator. It is based on the “reaction principle” in electromagnetic field theory. Starting from solving the wave equation that satisfies the boundary conditions in different regions, a generalized integral equation in the frequency domain is obtained by Fourier-Hankel transformation. According to the numerical results of the equation, the resonant frequency of each mode can be obtained with the thickness of the second layer and the dielectric constant of the second layer. Compared with the variation method, the consistency is good. This kind of microstrip ring resonator has broad application prospects in microwave hyperthermia. The results of this paper will be of clinical significance.