Electromagnetic Doppler effect in non-reciprocal medium

Reflected light from a moving object, such as a mirror, is frequency-shifted via the Doppler effect. This well-known phenomenon is used to determine the speed and direction of an object due to the red or blue shifting of the received electromagnetic radiation frequency. To date, the Doppler theory h...

Full description

Bibliographic Details
Main Author: Douglas M. Baney
Format: Article
Language:English
Published: AIP Publishing LLC 2023-04-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0146527
_version_ 1797771863400644608
author Douglas M. Baney
author_facet Douglas M. Baney
author_sort Douglas M. Baney
collection DOAJ
description Reflected light from a moving object, such as a mirror, is frequency-shifted via the Doppler effect. This well-known phenomenon is used to determine the speed and direction of an object due to the red or blue shifting of the received electromagnetic radiation frequency. To date, the Doppler theory has focused on the propagation of electromagnetic radiation through reciprocal media where the transiting photons have the same speed, regardless of direction. However, optical birefringence exists in solid-state, liquid, and gas media, which results in spatially dependent, and vector field-dependent, propagation velocities. When combined with the Faraday effect, which is employed routinely in laboratory setups and present at galactic scales, non-reciprocal Doppler effects may occur. A non-reciprocal Doppler effect theory is derived showing frequency shift dependencies on the object velocity and the directional speed of light in the medium. This general Doppler theory is shown to simplify the canonical relations for the Doppler effect in systems without a directional dependence on light. In non-reciprocal systems, when the mirror velocity is much less than the speed of light, the general frequency shift relation simplifies to a dependency on the roundtrip average speed of light. This theory provides a basis for the application of the Doppler effect to estimate the velocity of moving objects in non-reciprocal systems.
first_indexed 2024-03-12T21:43:41Z
format Article
id doaj.art-ce016f533226462d947dc062982980fe
institution Directory Open Access Journal
issn 2158-3226
language English
last_indexed 2024-03-12T21:43:41Z
publishDate 2023-04-01
publisher AIP Publishing LLC
record_format Article
series AIP Advances
spelling doaj.art-ce016f533226462d947dc062982980fe2023-07-26T14:57:20ZengAIP Publishing LLCAIP Advances2158-32262023-04-01134045120045120-410.1063/5.0146527Electromagnetic Doppler effect in non-reciprocal mediumDouglas M. Baney0Keysight Technologies, 5301 Stevens Creek Blvd., Santa Clara, California 95051, USAReflected light from a moving object, such as a mirror, is frequency-shifted via the Doppler effect. This well-known phenomenon is used to determine the speed and direction of an object due to the red or blue shifting of the received electromagnetic radiation frequency. To date, the Doppler theory has focused on the propagation of electromagnetic radiation through reciprocal media where the transiting photons have the same speed, regardless of direction. However, optical birefringence exists in solid-state, liquid, and gas media, which results in spatially dependent, and vector field-dependent, propagation velocities. When combined with the Faraday effect, which is employed routinely in laboratory setups and present at galactic scales, non-reciprocal Doppler effects may occur. A non-reciprocal Doppler effect theory is derived showing frequency shift dependencies on the object velocity and the directional speed of light in the medium. This general Doppler theory is shown to simplify the canonical relations for the Doppler effect in systems without a directional dependence on light. In non-reciprocal systems, when the mirror velocity is much less than the speed of light, the general frequency shift relation simplifies to a dependency on the roundtrip average speed of light. This theory provides a basis for the application of the Doppler effect to estimate the velocity of moving objects in non-reciprocal systems.http://dx.doi.org/10.1063/5.0146527
spellingShingle Douglas M. Baney
Electromagnetic Doppler effect in non-reciprocal medium
AIP Advances
title Electromagnetic Doppler effect in non-reciprocal medium
title_full Electromagnetic Doppler effect in non-reciprocal medium
title_fullStr Electromagnetic Doppler effect in non-reciprocal medium
title_full_unstemmed Electromagnetic Doppler effect in non-reciprocal medium
title_short Electromagnetic Doppler effect in non-reciprocal medium
title_sort electromagnetic doppler effect in non reciprocal medium
url http://dx.doi.org/10.1063/5.0146527
work_keys_str_mv AT douglasmbaney electromagneticdopplereffectinnonreciprocalmedium