Making the calculation of generalized reflection-transmission coefficients dimensionless

The calculation of dispersion curves of Rayleigh wave in horizontal multilayered medium has been a concerned subject. Chen's generalized reflection-transmission coefficient method has good accuracy and stability, but in the calculation of matrix E, which plays a decisive role in the algorithm, has dimensional elements, and the different elements have an order of magnitude difference. By making the generalized reflection-transmission coefficient calculation dimensionless, we obtained a more concise formula system for computing the dispersion functions of Rayleigh wave. We calculated the ratio ε of the largest element over the smallest in the matrix E using the improved and the original algorithm, respectively. We found that in the improved algorithm the elements of matrix E have at most one order of magnitude difference, while in the original algorithm the difference reaches to eleven orders. This indicates that the improved approach has a higher accuracy. It is expected that the improved generalized reflection-transmission coefficient method is more applicable to the computation of Rayleigh wave dispersion.