Abstract—

The method of local diagnostics based on the three-mode problem in an exponentially stratified atmosphere is proposed. The Cauchy problem is reformulated as the cutoff mode propagation problem. Projection operators for all three modes are derived, including the entropy mode as a new element of the developed approach. The formula for calculating the mode energy for an arbitrary boundary condition in the frequency-domain representation is proposed. It is suggested to use this formula as a norm in the space of approximations of numerical calculations or geophysical observations.

中文翻译：

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指数分层大气中波和熵模的诊断算法

摘要—

提出了一种在指数分层大气中基于三模式问题的局部诊断方法。将柯西问题重新定义为截止模式传播问题。推导了所有三种模式的投影算子，其中包括熵模式，作为已开发方法的新元素。提出了在频域表示中计算任意边界条件的模态能量的公式。建议将此公式用作数值计算或地球物理观测值近似空间中的范数。