Abstract—

The features of the energy balance of evanescent acoustic-gravity waves in the atmosphere are investigated. In the case of freely propagating AGWs in an ideal isothermal atmosphere without dissipation, the period-average densities of kinetic and potential energy are equal to each other. This is true for the acoustic and gravity regions of the AGW spectrum. It is shown that the period-average kinetic and potential AGW energy densities are not equal to each other in the general case in the evanescent spectral region. The exceptions are the Lamb wave and the Brunt–Väisälä oscillations, in which the particles oscillate only along one coordinate (horizontally or vertically). Also, the densities of kinetic and potential energy are equal for the evanescent f- and γ-modes at the points where they touch the regions of freely propagating waves. An assumption is made that the evanescent modes for which the average values of kinetic and potential energies are equal are implemented first.

中文翻译：

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渐逝声重力波的能量平衡

摘要-

研究了大气中倏逝声重力波的能量平衡特征。在理想等温大气中自由传播 AGW 且无耗散的情况下，动能和势能的周期平均密度彼此相等。对于 AGW 频谱的声学和重力区域来说也是如此。结果表明，一般情况下，在倏逝光谱区，周期平均动能密度和势能 AGW 能量密度并不相等。兰姆波和布伦特-维萨拉振荡是例外，其中粒子仅沿一个坐标（水平或垂直）振荡。此外，对于渐逝的 f 模和 γ 模，在它们接触自由传播波区域的点处，动能和势能的密度相等。假设首先实现动能和势能平均值相等的倏逝模式。