Fields of an ultrashort tightly focused radially polarized laser pulse in a linear response plasma

Salamin, Yousef I.

doi:10.1063/1.4997861

Cited by 5 publications

(8 citation statements)

References 34 publications

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“…Equation ( 1 ) will be solved for the vector potential and the Lorentz condition will be used to obtain the associated scalar potential 30 , 31 , 37 – 42 . This process finally culminates in finding expressions for the E and B fields from the space- and time-derivatives of the potentials 35 .…”

Section: Methodsmentioning

confidence: 99%

“…Using Eqs ( 4 ) and ( 5 ) in ( 3 ) yields an equation 30 , 31 , 37 , 40 , 41 for each Fourier component a k . Solution to Eq.…”

Section: Methodsmentioning

confidence: 99%

“…Implied in this choice is the assumption that the initial wavepacket , which evolves into the propagating pulse, consists of waves that possess a uniform spectrum, or distribution of wavenumbers 30 , 31 , 40 of width Δ k and height . Note that this choice renders a k (0,0,0, k ) = f k .…”

Section: Methodsmentioning

confidence: 99%

“…This work introduces orbital angular momentum into the description of a bessel-Bessel bullet 30 , 31 , for the first time. Among other things, opening up the Hilbert space of orbital angular momentum to be used to encode information in the fields of the bullets will boost efforts to utilize them in information transfer 32 .…”

Section: Introductionmentioning

confidence: 99%

“…This can reliably be the case for non-relativistic pulse peak intensities (roughly, as long as I ≪ 10 18 W/cm 2 , for a laser wavelength of 1 μ m). Under these conditions, Maxwell’s equations are entirely equivalent to 30 , 35 – 37 for the vector potential A , together with a similar equation holding for the scalar potential, Φ, provided the two potentials are linked by the Lorentz gauge condition. Equation ( 1 ) has an effective plasma wavenumber k p = ω p / c , in which c is the speed of light in vacuum and the plasma frequency is , where n 0 is the number density of the ambient electrons, ε 0 is the permittivity of free-space and m and − e are the mass and charge, respectively, of the electron.…”

Section: Introductionmentioning

confidence: 99%

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Fields of a Bessel-Bessel light bullet of arbitrary order in an under-dense plasma

Salamin

2018

Sci Rep

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Considerable theoretical and experimental work has lately been focused on waves localized in time and space. In optics, waves of that nature are often referred to as light bullets. The most fascinating feature of light bullets is their propagation without appreciable distortion by diffraction or dispersion. Here, analytic expressions for the fields of an ultra-short, tightly-focused and arbitrary-order Bessel pulse are derived and discussed. Propagation in an under-dense plasma, responding linearly to the fields of the pulse, is assumed throughout. The derivation stems from wave equations satisfied by the vector and scalar potentials, themselves following from the appropriate Maxwell equations and linked by the Lorentz gauge. It is demonstrated that the fields represent well a pulse of axial extension, L, and waist radius at focus, w0, both of the order of the central wavelength λ0. As an example, to lowest approximation, the pulse of order l = 2 is shown to propagate undistorted for many centimeters, in vacuum as well as in the plasma. As such, the pulse behaves like a “light bullet” and is termed a “Bessel-Bessel bullet of arbitrary order”. The field expressions will help to better understand light bullets and open up avenues for their utility in potential applications.

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Section: Methodsmentioning

confidence: 99%

“…Using Eqs ( 4 ) and ( 5 ) in ( 3 ) yields an equation 30 , 31 , 37 , 40 , 41 for each Fourier component a k . Solution to Eq.…”

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Fields of a Bessel-Bessel light bullet of arbitrary order in an under-dense plasma

Salamin

2018

Sci Rep

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Plasma waves excitation by a short pulse of focused laser radiation

Grishkov

Uryupin

2018

Physics of Plasmas

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The excitation of plasma waves by a short pulse of focused laser radiation is studied. Since the excitation of waves depends strongly on the pulse form, we described in detail its form and the conditions when the expression for the pulse field is applicable. Limitations on the pulse duration and the degree of laser radiation focusing are given. The basis for studying the excitation of plasma waves is the equation for potential electric fields. This equation describes the dispersion, weak damping due to collisions of electrons with ions, and wave excitation due to the ponderomotive effect of a short pulse of laser radiation. The dispersion of waves is described by a small integral term that takes into account the thermal motion of electrons. The effect of electron collisions on the damping of waves is described by the Fokker-Planck collision integral. The expression for the ponderomotive force is written taking into account the fact that the laser pulse propagates with a group velocity close to the speed of light. From the equation for waves, we find the Fourier transform of the electric field, which makes it possible to analyze the spectral composition of the excited waves and their radiation patterns. When radiation is weakly focused, waves are excited along the direction of laser pulse propagation. In the case of strong focusing, plasma waves are excited at an angle to this direction, and the greater the angle magnitude, the greater the difference of wave frequency from the electron plasma frequency.

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On beam models and their paraxial approximation

Waters

King

2017

Laser Phys.

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We derive focused laser pulse solutions to the electromagnetic wave equation in vacuum. After reproducing beam and pulse expressions for the well-known paraxial Gaussian and axicon cases, we apply the method to analyse a laser beam with Lorentzian transverse momentum distribution. Whilst a paraxial approach has some success close to the focal axis and within a Rayleigh range of the focal spot, we find that it incorrectly predicts the transverse fall-off typical of a Lorentzian. Our vector-potential approach is particularly relevant to calculation of quantum electrodynamical processes in weak laser pulse backgrounds.

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Fields of an ultrashort tightly focused radially polarized laser pulse in a linear response plasma

Cited by 5 publications

References 34 publications

Fields of a Bessel-Bessel light bullet of arbitrary order in an under-dense plasma

Fields of a Bessel-Bessel light bullet of arbitrary order in an under-dense plasma

Plasma waves excitation by a short pulse of focused laser radiation

On beam models and their paraxial approximation

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