A Generalized Sagnac-Wang-Fizeau formula
| Autor: | Joseph E. Avron, A. Ori |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Multiple integral Mathematical analysis Line integral Physics::Optics FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Term (logic) 01 natural sciences General Relativity and Quantum Cosmology 010305 fluids & plasmas Optical path Quadratic equation Quantum mechanics 0103 physical sciences Astronomical interferometer Empirical formula 010306 general physics Refractive index Physics - Optics Optics (physics.optics) |
| DOI: | 10.48550/arxiv.1601.01448 |
| Popis: | We present a special-relativistic analysis of deformable interferometers where counter propagating beams share a common optical path. The optical path is allowed to change rather arbitrarily and need not be stationary. We show that, in the absence of dispersion the phase shift has two contributions. To leading order in $v/c$ one contribution is given by Wang empirical formula for deformable Sagnac interferometers. The second contribution is due to the stretching of the optical path and we give an explicit formula for this stretch term valid to first order in $v/c$. The analysis provides a unifying framework incorporating the Sagnac, Wang and Fizeau effects in a single scheme and gives a rigorous proof of Wang empirical formula. Comment: 15 pages, 5 figures. Minor changes |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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