| Title: |
Maxwell-consistent, symmetry- and energy-preserving solutions for ultrashort laser pulse propagation beyond the paraxial approximation |
| Authors: |
Martínez, P. González de Alaiza, Duchateau, G., Chimier, B., Nuter, R., Thiele, I., Skupin, S., Tikhonchuk, V. T. |
| Source: |
Phys. Rev. A 98, 043849 (2018) |
| Publication Year: |
2018 |
| Collection: |
Physics (Other) |
| Subject Terms: |
Physics - Optics |
| More Details: |
We analytically and numerically investigate the propagation of ultrashort tightly focused laser pulses in vacuum, with particular emphasis on Hermite-Gaussian and Laguerre-Gaussian modes. We revisit the Lax series approach for forward-propagating linearly-polarized laser pulses, in order to obtain Maxwell-consistent and symmetry-preserving analytical solutions for the propagation of all field components beyond the paraxial approximation in four-dimensional geometry (space and time). We demonstrate that our solution conserves the energy, which is set by the paraxial-level term of the series. The full solution of the wave equation towards which our series converges is calculated in the Fourier space. Three-dimensional numerical simulations of ultrashort tightly-focused pulses validate our analytical development. |
| Document Type: |
Working Paper |
| DOI: |
10.1103/PhysRevA.98.043849 |
| Access URL: |
http://arxiv.org/abs/1807.04482 |
| Accession Number: |
edsarx.1807.04482 |
| Database: |
arXiv |
