Abstract

A direct variational method for solving the problem of finding ocean wave rays reflected from the coastline with given positions of the source and the point of observation is considered. It is shown that the original boundary value problem can be reduced to the direct search of stationary points of the functional equal to the time of wave propagation along the ray. Information about the objective function in the area of solutions to the ray tracing problem allows us to construct a systematic procedure for finding minima, saddle points, and maxima. A feature of the proposed approach is the optimization of the ray reflection point along a given coastline.

中文翻译：

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计算海岸线反射海浪射线特性的边值问题

摘要

考虑采用直接变分法来解决在给定的源和观测点位置下寻找从海岸线反射的海浪射线的问题。结果表明，原来的边值问题可以简化为直接搜索等于波沿射线传播时间的函数驻点。有关光线追踪问题解决方案领域中的目标函数的信息使我们能够构建一个系统程序来查找最小值、鞍点和最大值。该方法的一个特点是优化沿着给定海岸线的射线反射点。