Maxwell-consistent, symmetry- and energy-preserving solutions for ultrashort-laser-pulse propagation beyond the paraxial approximation
Artikel i vetenskaplig tidskrift, 2018

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, 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.


Pedro González De Alaiza Martínez

Université Bordeaux I

G. Duchateau

Université Bordeaux I

B. Chimier

Université Bordeaux I

R. Nuter

Université Bordeaux I

Illia Thiele

Chalmers, Fysik, Subatomär fysik och plasmafysik

Stefan Skupin

Université de Lyon

V. Tikhonchuk

Czech Academy of Sciences

Université Bordeaux I

Physical Review A

2469-9926 (ISSN) 2469-9934 (eISSN)

Vol. 98 4 043849



Annan fysik

Matematisk analys



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