Doppler effect in a moving medium
type: Item
instance of: scholarly article
title: Doppler effect in a moving medium
zbMATH Open document ID: 0911.53050
DOI: 10.1023/A:1018892610774
author: Bruno Bertotti
published in: General Relativity and Gravitation
publication date: 1999-05-05T00:00:00Z
review text: A theory of the Doppler effect in a moving and dispersive medium is developed in terms of the Lagrangean, or ray derivative of the optical path. The relativistic Hamiltonian theory of geometrical optics is first presented. Then, a general perturbation theorem, which allows a rigorous theory of the Doppler effect in terms of the Lagrangean derivative of an integral over the unperturbed ray, is proven. Relativistic corrections due to retardation are obtained. It is shown that in solar corona experiments these corrections are larger than the current accuracy and must be taken into account.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 78A05
Mathematics Subject Classification ID: 83B05
Mathematics Subject Classification ID: 83C50
zbMATH DE Number: 1208057
zbMATH Keywords: relativistic optics
zbMATH Keywords: relativistic corrections
zbMATH Keywords: Doppler effect
zbMATH Keywords: ray derivative
zbMATH Keywords: solar corona experiments
reviewed by: Radu Miron
MaRDI profile type: Publication
cites work: Q3240787
cites work: Q3236953
cites work: Q3263435
full work available at URL: a:1018892610774
OpenAlex ID: W41157578
description: scientific article; zbMATH DE number 1208057