Wolf effect of partially coherent light fields in two-dimensional curved space

Chenni Xu, Adeel Abbas, Li Gang Wang, S. Zhu, M. Suhail Zubairy

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

Wolf effect refers to a spectral shift of light during its propagation even in free space, which results from the fluctuating (or correlation) nature of light sources. In conventional optics, the propagation laws of light are usually considered in flat space. However, optical phenomena are fascinating in the presence of space curvature. Here the problem of spectral changes of light during its propagation is addressed in a two-dimensional (2D) curved space, and the influence of space curvature on the Wolf effect is revealed. The propagation expression for a partially coherent polychromatic light beam is analytically derived for propagating inside 2D curved surfaces of revolution with constant Gaussian curvature under a linear paraxial approximation. It shows that the curved spaces with larger positive curvature accelerate and enhance the spectral shifts (blue- and redshifts) of light during their propagation, and the spaces with larger negative curvature may decelerate and suppress the spectral shifts. Furthermore, different correlation lengths of light sources also affect the behaviors of spectral shifts of light in such curved surfaces of revolution. Our result provides a method to measure the curvature of curved space by measuring the spectral shift of light during its propagation in curved space, like the cases of light propagating in practical gravitational space.

Original languageEnglish
Article number063827
JournalPhysical Review A
Volume97
Issue number6
DOIs
StatePublished - 13 Jun 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2018 American Physical Society.

Funding

This research is supported by Zhejiang Provincial Natural Science Foundation of China under Grant No. LD18A040001, the National Key Research and Development Program of China (Grant No. 2017YFA0304202), the National Natural Science Foundation of China (Grants No. 11674284 and No. U1330203), and the Fundamental Research Funds for the Center Universities (Grant No. 2017FZA3005). M.S.Z. also acknowledges the support of the NPRP Grant No. 8-751-1-157 from the Qatar National Research Fund.

FundersFunder number
Zhejiang Provincial Natural Science Foundation of ChinaLD18A040001
Qatar National Research Fund
National Natural Science Foundation of ChinaU1330203, 11674284
National Basic Research Program of China (973 Program)2017YFA0304202
Fundamental Research Funds for the Central Universities2017FZA3005, 8-751-1-157

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