# A Wave Diagnostics in Geophysics: Algorithmic Extraction of Atmosphere Disturbance Modes

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## Abstract

The problem of diagnostics in geophysics is discussed and a proposal based on dynamic projecting operators technique is formulated. The general exposition is demonstrated by an example of symbolic algorithm for the wave and entropy modes in the exponentially stratified atmosphere. The novel technique is developed as a discrete version for the evolution operator and the corresponding projectors via discrete Fourier transformation. Its explicit realization for directed modes in exponential one-dimensional atmosphere is presented via the correspondent projection operators in its discrete version in terms of matrices with a prescribed action on arrays formed from observation tables. A simulation based on opposite directed (upward and downward) wave train solution is performed and the modes’ extraction from a mixture is illustrated.

## Notes

### Acknowledgements

This work was supported by the Ministry of Education and Science of Russian Federation (contract 3.1127.2014/K).

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