2007
DOI: 10.1209/0295-5075/79/10006
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The invariance of the phase of waves among inertial frames is questionable

Abstract: Two types of relativistic transformation for the four-vector (ω/c, k) of waves (including light waves in media, or acoustic waves) are obtained based on the differential Lorentz transformation. One of them is just the usual Lorentz transformation, whereas the second one is not. The second one is required to secure the frequency of waves from being negative, in the case that the speed of waves in a medium is less than the speed of that medium moving in the direction opposite to the propagation direction of wave… Show more

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Cited by 12 publications
(21 citation statements)
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“…Note: ω can be negative [28]. From the covariance of (x ′ , ct ′ ) and the invariance of phase, we conclude that (n ′ d k ′ , ω ′ /c) must be Lorentz covariant [20].…”
Section: Refractive Index Phase Velocity and Group Velocitymentioning
confidence: 82%
See 1 more Smart Citation
“…Note: ω can be negative [28]. From the covariance of (x ′ , ct ′ ) and the invariance of phase, we conclude that (n ′ d k ′ , ω ′ /c) must be Lorentz covariant [20].…”
Section: Refractive Index Phase Velocity and Group Velocitymentioning
confidence: 82%
“…In the medium-rest frame, both E ′ ⊥(n ′ d k ′ ) and (28), and H ′ · β ′ = 0 ⇒ H ·n = 0 from Eq. (29).…”
Section: A Pseudo-power Flow Due To the Motion Of Mediummentioning
confidence: 99%
“…the speed with which each of the cophasal surfaces advances [2,3]. If   t is negative, the cophasal surface advances along the direction of   ; otherwise, it advances against the direction of   [14,15]. Unless specified otherwise, the phase velocity in the following refers to the minimum phase velocity.…”
Section: Deducing the Relation Formulamentioning
confidence: 99%
“…A systematic method to derive the Doppler effect, without involving transformation of space-time coordinates, was presented in the literature [2,11]. Even more, in a certain case an anomaly -the problem of negative frequency of waves, was found by applying the invariance of the phase of waves which is equivalent to relativistic transformation of both physical quantities (ν, k) and space-time coordinates (t, r) simultaneously [12]. This indicates that the invariance of the phase of waves is invalid.…”
Section: The Issue Of the Relativistic Transformation Of Electromagne...mentioning
confidence: 99%