- #1
bernhard.rothenstein
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The formula which accounts for the Doppler shift is derived from the invarainace of the phase of a plane wave. [1] The plane wave is a mathematical construction associated with an infinite source os oscillation or with a very high source-receiver distance.
The same formula is derived considering that the involved time intervals (emission and reception) are very small. [2].
Both approaches lead to the same formula.
Could we consider that the formula which accounts for the Doppler shift has its limitations holding correctly only in the case of very high source-observer distance or only in the case of very small periods (very high frequencies).
Thanks in advance for your answer.
[1] Bohm, The Special Theory of Relativity
[2] Yuan Zhong Zhan, Special Relativity and its Experimental Foundations
The same formula is derived considering that the involved time intervals (emission and reception) are very small. [2].
Both approaches lead to the same formula.
Could we consider that the formula which accounts for the Doppler shift has its limitations holding correctly only in the case of very high source-observer distance or only in the case of very small periods (very high frequencies).
Thanks in advance for your answer.
[1] Bohm, The Special Theory of Relativity
[2] Yuan Zhong Zhan, Special Relativity and its Experimental Foundations