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Maxwell-consistent, symmetry- and energy-preserving solutions for ultrashort-laser-pulse propagation beyond the paraxial approximation

González De Alaiza Martínez, Pedro (author)
Université de Bordeaux,University of Bordeaux
Duchateau, G. (author)
Université de Bordeaux,University of Bordeaux
Chimier, B. (author)
Université de Bordeaux,University of Bordeaux
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Nuter, R. (author)
Université de Bordeaux,University of Bordeaux
Thiele, Illia, 1989 (author)
Chalmers tekniska högskola,Chalmers University of Technology
Skupin, Stefan (author)
Université de Lyon
Tikhonchuk, V. (author)
Université de Bordeaux,University of Bordeaux,Czech Academy of Sciences
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 (creator_code:org_t)
2018
2018
English.
In: Physical Review A. - 2469-9934 .- 2469-9926. ; 98:4
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • 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.

Subject headings

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)
NATURVETENSKAP  -- Fysik -- Annan fysik (hsv//swe)
NATURAL SCIENCES  -- Physical Sciences -- Other Physics Topics (hsv//eng)
NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

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