Research and Application to Electromagnetic Scattering of Conformal MRTD Method Based on Daubechies Scaling Functions
基于Daubechies尺度函数的共形MRTD方法研究及其电磁散射应用

In order to reduce the staircasing error of Yee’s leap-frog meshing and accurately model three- dimensional curved conducting objects, a new Conformal MultiResolution Time-Domain (CMRTD) method based on Daubechies’ scaling functions is proposed by combining the MultiResolution Time-Domain (MRTD) algorithm with the Conformal Finite-Difference Time-Domain (CFDTD) algorithm. This paper puts forward to decompose the MRTD update equation based on Daubechies’ scaling functions into a linear combination of several conventional Finite-Difference Time-Domain (FDTD) update equations. Then locally conformal technology is applied to the FDTD decomposition equation on the innermost loop. Finally, all decomposition equations are linearly combined into the CMRTD result. Simulation results show that CMRTD can not only preserve MRTD’s advantages of saving of computational resources and high computational efficiency, but also enhance computational precision obviously.