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

Abstract 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 diffracti...

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Autor principal:	Yousef I. Salamin
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/07c099d15b874376a371dafeacc7d30c
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spelling	oai:doaj.org-article:07c099d15b874376a371dafeacc7d30c2021-12-02T15:09:03ZFields of a Bessel-Bessel light bullet of arbitrary order in an under-dense plasma10.1038/s41598-018-29694-y2045-2322https://doaj.org/article/07c099d15b874376a371dafeacc7d30c2018-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-29694-yhttps://doaj.org/toc/2045-2322Abstract 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, w 0, both of the order of the central wavelength λ 0. 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.Yousef I. SalaminNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-8 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Yousef I. Salamin Fields of a Bessel-Bessel light bullet of arbitrary order in an under-dense plasma
description	Abstract 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, w 0, both of the order of the central wavelength λ 0. 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.
format	article
author	Yousef I. Salamin
author_facet	Yousef I. Salamin
author_sort	Yousef I. Salamin
title	Fields of a Bessel-Bessel light bullet of arbitrary order in an under-dense plasma
title_short	Fields of a Bessel-Bessel light bullet of arbitrary order in an under-dense plasma
title_full	Fields of a Bessel-Bessel light bullet of arbitrary order in an under-dense plasma
title_fullStr	Fields of a Bessel-Bessel light bullet of arbitrary order in an under-dense plasma
title_full_unstemmed	Fields of a Bessel-Bessel light bullet of arbitrary order in an under-dense plasma
title_sort	fields of a bessel-bessel light bullet of arbitrary order in an under-dense plasma
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/07c099d15b874376a371dafeacc7d30c
work_keys_str_mv	AT yousefisalamin fieldsofabesselbessellightbulletofarbitraryorderinanunderdenseplasma
_version_	1718387917149175808

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

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