English

Cross-spectral purity: a generalization of spatiotemporal separability

Optics 2025-03-28 v2

Abstract

We study the connection between cross-spectral purity and spatiotemporal separability of nonstationary (pulsed) scalar fields. It is found that in the case of complete coherence, there is a two-way relation between global cross-spectral purity and spatiotemporal separability of the field. Moreover, we show that cross-spectral purity generalizes the notion of spatiotemporal separability to partially coherent fields, due to the separability of the correlation functions. We also briefly discuss simple self-referencing linear measurement methods that can reveal cross-spectral purity.

Keywords

Cite

@article{arxiv.2412.07417,
  title  = {Cross-spectral purity: a generalization of spatiotemporal separability},
  author = {Matias Koivurova and Rajneesh Joshi},
  journal= {arXiv preprint arXiv:2412.07417},
  year   = {2025}
}
R2 v1 2026-06-28T20:29:18.861Z