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An investigation of the “delay-time” model using the results of the Lahaye experiment

Author:

Neagu, Alexandru

Category:

Research Papers

Sub-Category:

Mechanics / Electrodynamics

Language:

English

Date Published:

August 7, 2025

File:

/Research Papers-Mechanics / Electrodynamics/Download/10286

Downloads:

150

Keywords:

Fizeau-type experiments, speed of light, moving medium, phase difference, the slope of a linear dependence

Abstract:

The Lahaye experiment was among the first Fizeau-type experiments to use laser light, digital image capture and computer analysis of the displacement of the interference fringes. These technological advantages allowed for highly accurate measurements. The results of the Lahaye experiment indicated a linear dependence of the phase difference of the two coherent beams interfering on the screen on the average velocity of the water through the tube. The slope of the straight line fitting the experimental data was 0.274 0,003 rad s/m. In this paper we compared the results of the Lahaye experiment with the theoretical predictions provided by three physical models, designed to describe the propagation of light through moving optical media. The prediction of the “delay-time” model ( 0.276 rad s/m), comes closest to the experimental data if the value of the mean velocity of the water through the tube is used in the formula theoretically derived according to this model. However, if in the formulas theoretically derived based on the three models, the mean velocity is replaced by the maximum velocity of the water through the tube, that is, by its velocity through the center of the tube, where light actually propagates, the prediction of the delay-time model diverges, and the prediction of the relativistic model gets closer to the experimental results.