2D CPITD method for extracting attenuation constant of longitudinally invariant lossy transmission lines

Owing to the fact that the conventional compact two-dimensional (2D) precise integration time-domain (CPITD) method ignores the attenuation along the propagation direction for lossy invariant transmission lines, the calculation results are unsatisfactory. To extract the exact attenuation constant, a novel CPITD method that considers the attenuation constant along the propagation direction and describes an iterative process to seek out the attenuation constant is proposed. Compared with previous research related to the compact 2D finite-difference time-domain (CFDTD) method, the analytical or approximate analytical solution of the attenuation constant as the initial input value is used followed by the golden division method to find the interval of the exact attenuation constant in the iterative process. Numerical experimentations validate that the results of the novel method are much more accurate than those of the conventional CPITD method. Furthermore, the proposed method is of higher computational efficiency than the CFDTD method.