Electromagnetic fields of an ultra-short tightly-focused radially-polarized laser pulse

Salamin, Yousef I.; Li, Jiang-Xing

doi:10.1016/j.optcom.2017.08.053

Cited by 3 publications

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References 40 publications

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“…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%

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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“…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%

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

Salamin

2018

Sci Rep

Self Cite

View full text Add to dashboard Cite

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

Salamin

2017

Physics of Plasmas

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Analytic expressions for the fields of a radially polarized, ultrashort and tightly focused laser pulse propagating in a linear-response plasma are derived and discussed. The fields are obtained from solving the inhomogenous wave equations for the vector and scalar potentials, linked by the Lorenz gauge, in a plasma background. First the scalar potential is eliminated using the gauge condition, then the vector potential is synthesized from Fourier components of an initial uniform distribution of wavenumbers, and the inverse Fourier transformation is carried out term-by-term in a truncated series (finite sum). The zeroth-order term in, for example, the axial electric field component is shown to model a pulse much better than its widely used paraxial approximation counterpart. Some of the propagation characteristics of the fields are discussed and all fields are shown to have manifestly the expected limits for propagation in a vacuum.

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Approximate fields of an ultra-short, tightly-focused, radially-polarized laser pulse in an under-dense plasma: a Bessel-Bessel light bullet

Salamin

2017

Opt. Express

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Electromagnetic fields of an ultra-short tightly-focused radially-polarized laser pulse

Cited by 3 publications

References 40 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

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

Approximate fields of an ultra-short, tightly-focused, radially-polarized laser pulse in an under-dense plasma: a Bessel-Bessel light bullet

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