Autor: |
Martínez, P. González de Alaiza, Duchateau, G., Chimier, B., Nuter, R., Thiele, I., Skupin, S., Tikhonchuk, V. T. |
Rok vydání: |
2018 |
Předmět: |
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Zdroj: |
Phys. Rev. A 98, 043849 (2018) |
Druh dokumentu: |
Working Paper |
DOI: |
10.1103/PhysRevA.98.043849 |
Popis: |
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. |
Databáze: |
arXiv |
Externí odkaz: |
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