English

Space-time wave packets localized in all dimensions

Optics 2022-08-24 v2

Abstract

Optical wave packets that are localized in space and time, but nevertheless overcome diffraction and travel rigidly in free space, are a long sought-after field structure with applications ranging from microscopy and remote sensing, to nonlinear and quantum optics. However, synthesizing such wave packets requires introducing non-differentiable angular dispersion with high spectral precision in two transverse dimensions, a capability that has eluded optics to date. Here, we describe an experimental strategy capable of sculpting the spatio-temporal spectrum of a generic pulsed beam by introducing arbitrary radial chirp via two-dimensional conformal coordinate transformations of the spectrally resolved field. This procedure yields propagation-invariant `space-time' wave packets localized in all dimensions, with tunable group velocity in the range from 0.7c0.7c to 1.8c1.8c in free space, and endowed with prescribed orbital angular momentum. By providing unprecedented flexibility in sculpting the three-dimensional structure of pulsed optical fields, our experimental strategy promises to be a versatile platform for the emerging enterprise of space-time optics.

Keywords

Cite

@article{arxiv.2111.03095,
  title  = {Space-time wave packets localized in all dimensions},
  author = {Murat Yessenov and Justin Free and Zhaozhong Chen and Eric G. Johnson and Martin P. J. Lavery and Miguel A. Alonso and Ayman F. Abouraddy},
  journal= {arXiv preprint arXiv:2111.03095},
  year   = {2022}
}

Comments

12 pages of Main text with 7 figures. 37 pages of Supplementary document with 18 figures

R2 v1 2026-06-24T07:26:45.923Z