Time-varying airy pulses

A. Nerukh; D. Zolotariov; D. Nerukh

doi:10.1109/ICTON.2011.5970882

Time-varying airy pulses

A. Nerukh^*, D. Zolotariov, D. Nerukh

^*Corresponding author for this work

Research output: Chapter in Book/Published conference output › Conference publication

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 language	English
Title of host publication	2011 13th International Conference on Transparent Optical Networks
Publisher	IEEE
Number of pages	4
ISBN (Electronic)	978-1-4577-0880-0, 978-1-4577-0882-4
ISBN (Print)	978-1-4577-0881-7
DOIs	https://doi.org/10.1109/ICTON.2011.5970882
Publication status	Published - Nov 2011
Event	13th International Conference on Transparent Optical Networks - Stockholm, Sweden Duration: 26 Jun 2011 → 30 Jun 2011

Publication series

Name	IEEE Conference Publications
Publisher	IEEE
ISSN (Print)	2162-7339

Conference

Conference	13th International Conference on Transparent Optical Networks
Abbreviated title	ICTON 2011
Country/Territory	Sweden
City	Stockholm
Period	26/06/11 → 30/06/11

Keywords

airy pulses
decelerating electromagnetic pulses

Access to Document

10.1109/ICTON.2011.5970882

Cite this

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title = "Time-varying airy pulses",

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.",

keywords = "airy pulses, decelerating electromagnetic pulses",

author = "A. Nerukh and D. Zolotariov and D. Nerukh",

year = "2011",

month = nov,

doi = "10.1109/ICTON.2011.5970882",

language = "English",

isbn = "978-1-4577-0881-7",

series = "IEEE Conference Publications",

publisher = "IEEE",

booktitle = "2011 13th International Conference on Transparent Optical Networks",

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note = "13th International Conference on Transparent Optical Networks, ICTON 2011 ; Conference date: 26-06-2011 Through 30-06-2011",

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T1 - Time-varying airy pulses

AU - Nerukh, A.

AU - Zolotariov, D.

AU - Nerukh, D.

PY - 2011/11

Y1 - 2011/11

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.

KW - airy pulses

KW - decelerating electromagnetic pulses

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UR - http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=5970882

U2 - 10.1109/ICTON.2011.5970882

DO - 10.1109/ICTON.2011.5970882

M3 - Conference publication

AN - SCOPUS:80155148086

SN - 978-1-4577-0881-7

T3 - IEEE Conference Publications

BT - 2011 13th International Conference on Transparent Optical Networks

PB - IEEE

T2 - 13th International Conference on Transparent Optical Networks

Y2 - 26 June 2011 through 30 June 2011

ER -

Time-varying airy pulses

Abstract

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Conference

Keywords

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