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

Martínez, Pedro González; Duchateau, Guillaume; Chimier, B.; Nuter, R.; Thiele, Illia; Skupin, Stefan; Tikhonchuk, V. T.

doi:10.1103/physreva.98.043849

Cited by 7 publications

(5 citation statements)

References 45 publications

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“…(p+|m|)! , follows from the orthonormality of the Laguerre polynomials [28]. The fundamental Gaussian beam LG 00 is obtained for p = m ≡ 0, where C 00 = L 0 0 ≡ 1.…”

Section: Direct Laser-driven Electron Acceleration In Helical Beamsmentioning

confidence: 99%

Optimizing direct laser-driven electron acceleration and energy gain at ELI-NP

2020

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A detailed study of direct laser-driven electron acceleration in paraxial Laguerre-Gaussian modes corresponding to helical beams LG0m with azimuthal modes m = {1, 2, 3, 4, 5} is presented. Due to the difference between the ponderomotive force of the fundamental Gaussian beam LG00 and helical beams LG0m we found that the optimal beam waist leading to the most energetic electrons at full width at half maximum is more than twice smaller for the latter and corresponds to a few wavelengths ∆w0 = {6, 11, 19} λ0 for laser powers of P0 = {0.1, 1, 10} PW. Using these optimal values we have observed that the average kinetic energy gain of electrons is about an order of magnitude larger in helical beams compared to the fundamental Gaussian beam. This average energy gain increases with the azimuthal index m leading to collimated electrons of a few 100 MeV energy in the direction of the laser propagation.

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“…(p+|m|)! , follows from the orthonormality of the Laguerre polynomials [28]. The fundamental Gaussian beam LG 00 is obtained for p = m ≡ 0, where C 00 = L 0 0 ≡ 1.…”

Section: Direct Laser-driven Electron Acceleration In Helical Beamsmentioning

confidence: 99%

Optimizing direct laser-driven electron acceleration and energy gain at ELI-NP

2020

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“…where the beam waist radius at focus is w 0 ≡ w(z � 0). e Laguerre polynomials are denoted by L m p , and the normalization constant, C pm � �� p!/(p + |m|)!, follows from the orthonormality of the Laguerre polynomials [30]. e fundamental Gaussian beam LG 00 is obtained for p � m ≡ 0, where C 00 � L 0 0 ≡ 1. e components of the electric and magnetic fields are…”

Section: Direct Laser-driven Electron Acceleration In Helical Beamsmentioning

confidence: 99%

Direct Laser-Driven Electron Acceleration and Energy Gain in Helical Beams

Molnár

Stutman

2021

Laser Part. Beams

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A detailed study of direct laser-driven electron acceleration in paraxial Laguerre–Gaussian modes corresponding to helical beams LG 0 m with azimuthal modes m = 1,2,3,4,5 is presented. Due to the difference between the ponderomotive force of the fundamental Gaussian beam LG 00 and helical beams LG 0 m , we found that the optimal beam waist leading to the most energetic electrons at full width at half maximum is more than twice smaller for the latter and corresponds to a few wavelengths Δ w 0 = 6,11,19 λ 0 for laser powers of P 0 = 0.1 , 1,10 PW. We also found that, for azimuthal modes m ≥ 3 , the optimal waist should be smaller than Δ w 0 < 19 λ 0 . Using these optimal values, we have observed that the average kinetic energy gain of electrons is about an order of magnitude larger in helical beams compared to the fundamental Gaussian beam. This average energy gain increases with the azimuthal index m leading to collimated electrons of a few 100 MeV energy in the direction of the laser propagation.

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“…To describe the dynamics of the considered laser pulse, the general form of the electric field envelope for every x position can be obtained by directly solving the paraxial wave equation [19] within the slowly varying envelope approximation for the electric field (3). The electric field evolution reads…”

Section: A Dynamics Of Focused Titled Laser Pulsementioning

confidence: 99%

Theoretical study of spatiotemporal focusing for in-bulk laser structuring of dielectrics

2021

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For laser processing applications and creation of microstructures inside dielectric materials, focusing of a femtosecond Gaussian pulse within the bulk of these materials is commonly used. The laser energy is mainly absorbed in the focal spot due to the nonlinear feature of laser–dielectric interaction. Recently, to get further control of laser energy absorption, the spatiotemporal focusing technique, for which the pulse duration evolves in the course of propagation, has been introduced. However, spatiotemporal focusing also leads to an inclination of the wavefront, the pulse-front tilt. In this work, the influence of the pulse-front tilt on pulse propagation and interaction is studied by solving numerically the Maxwell’s equations coupled to laser induced electron dynamics in dielectrics. The qualitative behavior of energy absorption, and geometric features of the resulting absorption volume are presented. By varying the laser intensity and pulse-front tilt, both the aspect ratio and symmetry of the absorption volume are changed. A simple model predicting the evolution of this aspect ratio is provided.

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

Cited by 7 publications

References 45 publications

Optimizing direct laser-driven electron acceleration and energy gain at ELI-NP

Optimizing direct laser-driven electron acceleration and energy gain at ELI-NP

Direct Laser-Driven Electron Acceleration and Energy Gain in Helical Beams

Theoretical study of spatiotemporal focusing for in-bulk laser structuring of dielectrics

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