English

The light filament as a new nonlinear polarization state

Optics 2015-07-19 v1 Pattern Formation and Solitons

Abstract

We present an analytical approach to the theory of nonlinear propagation in gases of femtosecond optical pulses with broad-band spectrum . The vector character of the nonlinear third-order polarization of the electrical field in air is investigated in details. A new polarization state is presented by using left-hand and right-hand circular components of the electrical field . The corresponding system of vector amplitude equations is derived in the rotating basis. We found that this system of nonlinear equations has 3D+13D+1 vector soliton solutions with Lorentz shape. The solution presents a relatively stable propagation and rotation with GHz frequency of the vector of the electrical field in a plane orthogonal to the direction of propagation. The evolution of the intensity profile demonstrates a weak self-compression and a week spherical wave in the first milliseconds of propagation.

Keywords

Cite

@article{arxiv.1507.03062,
  title  = {The light filament as a new nonlinear polarization state},
  author = {Lubomir M. Kovachev},
  journal= {arXiv preprint arXiv:1507.03062},
  year   = {2015}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1503.00953

R2 v1 2026-06-22T10:09:54.993Z