The Doppler effect is the same for both optics and acoustics

Klinaku, Shukri

doi:10.1016/j.ijleo.2021.167565

Cited by 10 publications

(5 citation statements)

References 10 publications

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“…As can be seen, the sum of two pairs of paths is equal, that can be seen even with naked eye in Figure 4, because the triangles OA'O' and OB'O' have the same base (OO'). Equations ( 8) and ( 9) confirm equation (5). The same result can be obtained with other calculations from Figure 4.…”

Section: Mme With Interferometer Located At An Acute Anglesupporting

confidence: 87%

“…The analogy of this idea for sound is seen in Figure 2. Just as the difference between the times ‫ݐ(‬ and ‫ݐ‬ ) of the propagation of sound between two stations (A and B) in two opposite directions is found (Figure 2), this difference would also be found for light, as Maxwell had proposed, because the frequency observed by a stationary observer when the source is moving is different from the frequency observed by a moving observer when the source is stationary [5]. But Michelson changed Maxwell's proposal, taking two pairs of paths (with the same length) and comparing the time of light propagation in them.…”

Section: Luminiferous Aether and Maxwell's Proposal For Its Identific...mentioning

confidence: 79%

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Michelson-Morley experiment explained by means of five methods

Klinaku

2022

J. Phys.: Conf. Ser.

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The Michelson-Morley experiment (MME) is still important to physics, and not just to the history of physics. The hypothesis of contraction of bodies in the direction of their motion arose as an ad hoc hypothesis about the “contraction” of the Michelson’s interferometer arm in the direction of its motion. Even today this experiment is the “strongest argument” of this hypothesis, and of time dilation too. This work will present the explanation of the MME through five methods. The first method can be called the traditional method, which was applied by Michelson, but not correctly. The other methods are the explanation of the MME with the interferometer located at an acute angle to the direction of Earth’s motion; with the light clock; using Galilean transformation in polar coordinates and using the Doppler effect formula. All these methods give the same solution, and this solution is in accordance with the experiment’s result. Solutions derived from these five methods represent a natural explanation for the result of the MME – without weird terms and without unscientific assumptions.

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Section: Mme With Interferometer Located At An Acute Anglesupporting

confidence: 87%

Section: Luminiferous Aether and Maxwell's Proposal For Its Identific...mentioning

confidence: 79%

Michelson-Morley experiment explained by means of five methods

Klinaku

2022

J. Phys.: Conf. Ser.

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“…Since the wave equation is the same for both optical and acoustic waves, it can be concluded that both optical and acoustic wave equations are invariant to Galilean transformation. In a recent paper by the author entitled ''The Doppler effect is the same for both optics and acoustics'' [17], it is shown that optical and acoustic waves are the same in three points, contrary to previous explanations. We now have the fourth point in this paper.…”

Section: Discussionmentioning

confidence: 77%

Invariance of the acoustic wave equation under transformed Galilean transformation

Berisha

Klinaku

2023

Acoust. Sci. & Tech.

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The principle of relativity requires that laws be invariant in all inertial reference frames. The laws of mechanics are invariant to Galilean relativity. The acoustic wave equation is a mechanical law. So why does the acoustic wave equation turn out to be noninvariant to Galilean transformation? What does this mean? Why do the principle of relativity, the wave equation, and the current Galilean transformation not agree between them? Indeed, to provide the invariance of the wave equation, the Galilean transformation must be transformed. The transformed Galilean transformation has a wide base of arguments.

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“…During the operation of the train, because the moving train (sound source) and receiving device are in relative motion, the collected acoustic signal in motion will produce amplitude modulation, frequency shift and band expansion compared to the original signal, termed acoustic Doppler distortion [42].The roadside acoustic signal acquisition model is shown in Figure 1,and the relationship between the original frequency and the received frequency can be obtained according to the geometric model parameters and Morse acoustic theory:…”

Section: Theoretical Foundation 21 Doppler Aberration Correctionmentioning

confidence: 99%

Fault Diagnosis of Train Wheelset Bearing Roadside Acoustics Considering Sparse Operation with GA-RBF

et al. 2023

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Trackside acoustic signals are useful for non-contact measurements as well as early warnings in the diagnosis of train wheelset bearing faults. However, there are two important problems when using roadside acoustic signals to diagnose wheel-to-wheel bearing faults; one is the presence of strong interference from strong noise and high harmonics in the signal, and the other is the low efficiency of bearing fault identification caused by it. Therefore, from the viewpoint of solving the two problems, a sparse operation method is proposed for denoising and detuning the modulation of the roadside acoustic signal, and a machine learning classifier with a Genetic Algorithm (GA)-optimized Radial Basis Neural Network (RBFNN) is proposed to improve the rate at which the features of roadside acoustic signal faults are recognized. Firstly, the background noise is filtered out from the Doppler-corrected acoustic signal using the Sparse Representation method, and the inverse wavelet transform is reconstructed into a noiseless signal. Secondly, the interference high-harmonic signal in the signal is filtered out using the Resonant Sparse Signal Decomposition (RSSD) method. Then, the GA is selected to optimize the parameters of the RBF neural network and build a fault diagnosis model. Finally, the extracted acoustic signal feature set is trained on the network model, and the trained model is used for testing. In summary, the sparse operation on the roadside acoustic signal processing and the GA-RBFNN diagnosis model were verified as being very effective in the diagnosis of roadside acoustic train wheel pair faults through the simulation experiment.

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The Doppler effect is the same for both optics and acoustics

Cited by 10 publications

References 10 publications

Michelson-Morley experiment explained by means of five methods

Michelson-Morley experiment explained by means of five methods

Invariance of the acoustic wave equation under transformed Galilean transformation

Fault Diagnosis of Train Wheelset Bearing Roadside Acoustics Considering Sparse Operation with GA-RBF

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