On Analysis of Seismic Vibrations Data Applying Doppler Effect Expression

In the paper, a possibility to develop the digital models of the seismic vibrations parameters is analyzed. To reach this goal, the observations at seismic station LUWI (Indonesia) were processed applying the statistical procedures. In fact, the biggest attention was given to the introduction of the Doppler effect expression and the employment of the theory of covariance functions. The trend in vectors of vibrations intensities values was detected and estimated upon using the least-squares method and polynomial approximation. In addition, by this technique, the random errors were eliminated partially. The self-developed computer programs based on Matlab programming package procedures were applied.

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Thermal waves emitted by moving sources and the Doppler effect

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2021.121098 ◽

2021 ◽

Vol 176 ◽

pp. 121098

Author(s):

Roberto Li Voti ◽

Mario Bertolotti

Keyword(s):

Doppler Effect ◽

Thermal Waves ◽

Moving Sources ◽

The Doppler Effect

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The Doppler effect is the same for both optics and acoustics

Optik ◽

10.1016/j.ijleo.2021.167565 ◽

2021 ◽

pp. 167565

Author(s):

Shukri Klinaku

Keyword(s):

Doppler Effect ◽

The Doppler Effect

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ON THE THEORY OF THE DOPPLER EFFECT IN A MOVING MEDIUM

Modern Physics Letters A ◽

10.1142/s0217732398000024 ◽

1998 ◽

Vol 13 (01) ◽

pp. 1-6 ◽

Cited By ~ 1

Author(s):

BRUNO BERTOTTI

Keyword(s):

Solar Wind ◽

Doppler Effect ◽

Dispersive Medium ◽

Time Derivative ◽

Optical Path ◽

Moving Medium ◽

Perturbation Theorem ◽

Hamiltonian Theory ◽

The Doppler Effect ◽

Definition Of

The increase in the accuracy of Doppler measurements in space requires a rigorous definition of the observed quantity when the propagation occurs in a moving, and possibly dispersive medium, like the solar wind. This is usually done in two divergent ways: in the phase viewpoint it is the time derivative of the correction to the optical path; in the ray viewpoint the signal is obtained form the deflection produced in the ray. They can be reconciled by using the time derivative of the optical path in the Lagrangian sense, i.e. differentiating from ray to ray. To rigorously derive this result an understanding, through relativistic Hamiltonian theory, of the delicate interplay between rays and phase is required; a general perturbation theorem which generalizes the concept of the Doppler effect as a Lagrangian derivative is proved. Relativistic retardation corrections O(v) are obtained, well within the expected sensitivity of Doppler experiments near solar conjunction.

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