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

Autor: Martínez, P. González de Alaiza, Duchateau, G., Chimier, B., Nuter, R., Thiele, I., Skupin, S., Tikhonchuk, V. T.
Rok vydání: 2018
Předmět:
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