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Electromagnetic angular momentum of quantized wavepackets in free space

Optics 2023-10-10 v1

Abstract

A single electromagnetic plane-wave propagating in free space possesses neither spin nor orbital angular momentum. Both types of angular momentum arise from interference between pairs of plane-waves having the same temporal frequency {\omega} but differing k-vectors k_1 and k_2. While it is fairly straightforward to evaluate a wavepacket's spin and orbital angular momenta in the (k,{\omega}) continuum by means of Fourier transformation, obtaining the same results by discretizing the (k,{\omega}) space, then attempting to approach the continuum limit via an infinite enlargement of the spatial volume under consideration, is fraught with danger.

Keywords

Cite

@article{arxiv.2310.04877,
  title  = {Electromagnetic angular momentum of quantized wavepackets in free space},
  author = {Masud Mansuripur},
  journal= {arXiv preprint arXiv:2310.04877},
  year   = {2023}
}

Comments

12 pages, 3 figures, 31 equations, 4 references

R2 v1 2026-06-28T12:43:29.953Z