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提出了具有间断面的球形地球三维射线追踪的伪弯曲方法。该方法的基础是一阶近似3点扰动,同时曲线坐标中的斯奈尔定律应用到间断面上。我们通过与解析解和弯曲法结果的比较,证实了不同速度模型中伪弯曲方法射线追踪的计算精度和有效性。尽管有效性的改善是明显的,但它将随着间断面数量的增加而减小。尽管弯曲法精确,但在某些情况下亦可能是计算不稳定的。因此,伪弯曲法在射线自动计算方面还是可取的。
A pseudo-bending method of three-dimensional ray tracing of spherical earth with discontinuities is proposed. The method is based on a first-order approximation of 3-point perturbation, while Snell's law in curvilinear coordinates is applied to the discontinuities. We compare the results of analytical solution and bending method to verify the accuracy and validity of the ray tracing method for the pseudo-bending method in different velocity models. Although the improvement in effectiveness is obvious, it will decrease as the number of discontinuities increases. Although the bending method is accurate, it may not be computationally stable in some cases. Therefore, the pseudo-bending method is still preferable in ray automatic calculation.