Time-varying airy pulses

A. Nerukh, D. Zolotariov, D. Nerukh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Pulses in the form of the Airy function as solutions to an equation similar to the Schrodinger equation but with opposite roles of the time and space variables are derived. The pulses are generated by an Airy time varying field at a source point and propagate in vacuum preserving their shape and magnitude. The pulse motion is decelerating according to a quadratic law. Its velocity changes from infinity at the source point to zero in infinity. These one dimensional results are extended to the 3D+time case for a similar Airy-Bessel pulse with the same behaviour, the non-diffractive preservation and the deceleration. This pulse is excited by the field at a plane aperture perpendicular to the direction of the pulse propagation.

Original languageEnglish
Title of host publication2011 13th International Conference on Transparent Optical Networks
PublisherIEEE
Number of pages4
ISBN (Electronic)978-1-4577-0880-0, 978-1-4577-0882-4
ISBN (Print)978-1-4577-0881-7
DOIs
Publication statusPublished - Nov 2011
Event13th International Conference on Transparent Optical Networks - Stockholm, Sweden
Duration: 26 Jun 201130 Jun 2011

Publication series

NameIEEE Conference Publications
PublisherIEEE
ISSN (Print)2162-7339

Conference

Conference13th International Conference on Transparent Optical Networks
Abbreviated titleICTON 2011
CountrySweden
CityStockholm
Period26/06/1130/06/11

Fingerprint

Schrodinger equation
Deceleration
Vacuum
Direction compound

Keywords

  • airy pulses
  • decelerating electromagnetic pulses

Cite this

Nerukh, A., Zolotariov, D., & Nerukh, D. (2011). Time-varying airy pulses. In 2011 13th International Conference on Transparent Optical Networks [Tu.A1.5] (IEEE Conference Publications). IEEE. https://doi.org/10.1109/ICTON.2011.5970882
Nerukh, A. ; Zolotariov, D. ; Nerukh, D. / Time-varying airy pulses. 2011 13th International Conference on Transparent Optical Networks . IEEE, 2011. (IEEE Conference Publications).
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abstract = "Pulses in the form of the Airy function as solutions to an equation similar to the Schrodinger equation but with opposite roles of the time and space variables are derived. The pulses are generated by an Airy time varying field at a source point and propagate in vacuum preserving their shape and magnitude. The pulse motion is decelerating according to a quadratic law. Its velocity changes from infinity at the source point to zero in infinity. These one dimensional results are extended to the 3D+time case for a similar Airy-Bessel pulse with the same behaviour, the non-diffractive preservation and the deceleration. This pulse is excited by the field at a plane aperture perpendicular to the direction of the pulse propagation.",
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Nerukh, A, Zolotariov, D & Nerukh, D 2011, Time-varying airy pulses. in 2011 13th International Conference on Transparent Optical Networks ., Tu.A1.5, IEEE Conference Publications, IEEE, 13th International Conference on Transparent Optical Networks, Stockholm, Sweden, 26/06/11. https://doi.org/10.1109/ICTON.2011.5970882

Time-varying airy pulses. / Nerukh, A.; Zolotariov, D.; Nerukh, D.

2011 13th International Conference on Transparent Optical Networks . IEEE, 2011. Tu.A1.5 (IEEE Conference Publications).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - Pulses in the form of the Airy function as solutions to an equation similar to the Schrodinger equation but with opposite roles of the time and space variables are derived. The pulses are generated by an Airy time varying field at a source point and propagate in vacuum preserving their shape and magnitude. The pulse motion is decelerating according to a quadratic law. Its velocity changes from infinity at the source point to zero in infinity. These one dimensional results are extended to the 3D+time case for a similar Airy-Bessel pulse with the same behaviour, the non-diffractive preservation and the deceleration. This pulse is excited by the field at a plane aperture perpendicular to the direction of the pulse propagation.

AB - Pulses in the form of the Airy function as solutions to an equation similar to the Schrodinger equation but with opposite roles of the time and space variables are derived. The pulses are generated by an Airy time varying field at a source point and propagate in vacuum preserving their shape and magnitude. The pulse motion is decelerating according to a quadratic law. Its velocity changes from infinity at the source point to zero in infinity. These one dimensional results are extended to the 3D+time case for a similar Airy-Bessel pulse with the same behaviour, the non-diffractive preservation and the deceleration. This pulse is excited by the field at a plane aperture perpendicular to the direction of the pulse propagation.

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Nerukh A, Zolotariov D, Nerukh D. Time-varying airy pulses. In 2011 13th International Conference on Transparent Optical Networks . IEEE. 2011. Tu.A1.5. (IEEE Conference Publications). https://doi.org/10.1109/ICTON.2011.5970882