PreprintCC BY 4.0arXiv
On the Doppler Effect in Static Materials: Vortices and Black, White and Worm-Hole Like Wave Trajectories
Abstract
We demonstrate the Doppler effect in a static material. The effect is achieved with a network of thin waveguides whose lengths depend on the direction of travel, chosen to simulate the compression and expansion of the wave experienced by a source travelling with velocity v. Each edge of length ℓ becomes a pair of waveguides of lengths ℓ/(1∓ v/c), one for each direction of travel. On a lattice this gives the field pattern of a moving source. To demonstrate the effect, we design a vortex, an analogue black hole and wormhole.
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BibTeX
@misc{lawrie2026doppler,
title = {{On the Doppler Effect in Static Materials: Vortices and Black, White and Worm-Hole Like Wave Trajectories}},
author = {Tristan Lawrie and Simon Horsley},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33141},
eprint = {2610.33141},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33141},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On the Doppler Effect in Static Materials: Vortices and Black, White and Worm-Hole Like Wave Trajectories
AU - Tristan Lawrie
AU - Simon Horsley
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.33141
UR - https://arxiv.org/abs/2610.33141
AB - We demonstrate the Doppler effect in a static material. The effect is achieved with a network of thin waveguides whose lengths depend on the direction of travel, chosen to simulate the compression and expansion of the wave experienced by a source travelling with velocity v. Each edge of length ℓ becomes a pair of waveguides of lengths ℓ/(1∓ v/c), one for each direction of travel. On a lattice this gives the field pattern of a moving source. To demonstrate the effect, we design a vortex, an analogue black hole and wormhole.
ER -