均匀介质中基于积分方程的二维电磁成像模拟

Simulation of 2D electromagnetic imaging in homogeneous medium by integral equations

开发了一种基于积分方程的模拟均匀介质中二维电磁成像的反演算法。在反演中采用了Born迭代方法,该算法具有抗噪声能力强、迭代稳定的优点。在正演计算中采用了计算积分方程的稳定型双共轭梯度快速Fourier变换(BCGS-FFT)算法,将插值函数作为基函数和试探函数对积分方程进行弱化离散,离散后的积分方程采用稳定型双共轭梯度迭代方法进行求解,从而得到异常体内电场的分布,迭代过程中采用快速傅里叶变换(FFT)技术进行加速。反演算例说明了所开发算法的精确性和有效性。

An inversion algorithm for simulating 2D electromagnetic imaging in homogeneous medium by integral equations is developed.The Born iteration method is adopted during inversion,which has the excellence of high resisting-noise ability and stability.The stabilized biconjugate-gradient fast Fourier transform(BCGS-FFT)algorithm for solving integral equations is adopted in forward calculation.The interpolating function is chosen as basis and testing functions to get the weak-form discretization of the integral equations.The discrete form of the integral equations is solved via the stabilized biconjugate-gradient iteration method,and the distribution of the electric field within the inhomogeneous objects can be obtained.The BCGS iteration is accelerated by fast Fourier transform(FFT).Inversion examples has shown the accuacy and efficiency of the algorithm.