Decelerating Airy pulses

A.G. Nerukh; D.A. Zolotariov; D.A. Nerukh

doi:10.1109/LFNM.2011.6144989

Decelerating Airy pulses

A.G. Nerukh, D.A. Zolotariov, D.A. Nerukh

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

Abstract

It is shown that an electromagnetic wave equation in time domain is reduced in paraxial approximation to an equation similar to the Schrodinger equation but in which the time and space variables play opposite roles. This equation has solutions in form of time-varying pulses with the Airy function as an envelope. The pulses are generated by a source point with an Airy time varying field and propagate in vacuum preserving their shape and magnitude. The motion is according to a quadratic law with the velocity changing from infinity at the source point to zero in infinity. These one-dimensional results are extended to the 3D+time case when a similar Airy-Bessel pulse is excited by the field at a plane aperture. The same behaviour of the pulses, the non-diffractive preservation and their deceleration, is found.

Original language	English
Title of host publication	Conference proceedings - 11th International Conference on Laser and Fiber-Optical Networks Modeling, LFNM 2011
Editors	I.A. Sukhoivanov, O.V. Shulika
Place of Publication	Piscataway, NJ (US)
Publisher	IEEE
Number of pages	2
ISBN (Electronic)	978-1-61284-813-6
ISBN (Print)	978-1-61284-811-2
DOIs	https://doi.org/10.1109/LFNM.2011.6144989
Publication status	Published - Dec 2011
Event	11th International Conference on Laser and Fiber-Optical Networks Modeling - Kharkov, Ukraine Duration: 4 Sept 2011 → 8 Sept 2011

Conference

Conference	11th International Conference on Laser and Fiber-Optical Networks Modeling
Abbreviated title	LFNM 2011
Country/Territory	Ukraine
City	Kharkov
Period	4/09/11 → 8/09/11

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10.1109/LFNM.2011.6144989

Cite this

@inproceedings{32db73c4f2fe4740a09fcdbd0efdfb70,

title = "Decelerating Airy pulses",

abstract = "It is shown that an electromagnetic wave equation in time domain is reduced in paraxial approximation to an equation similar to the Schrodinger equation but in which the time and space variables play opposite roles. This equation has solutions in form of time-varying pulses with the Airy function as an envelope. The pulses are generated by a source point with an Airy time varying field and propagate in vacuum preserving their shape and magnitude. The motion is according to a quadratic law with the velocity changing from infinity at the source point to zero in infinity. These one-dimensional results are extended to the 3D+time case when a similar Airy-Bessel pulse is excited by the field at a plane aperture. The same behaviour of the pulses, the non-diffractive preservation and their deceleration, is found.",

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

year = "2011",

month = dec,

doi = "10.1109/LFNM.2011.6144989",

language = "English",

isbn = "978-1-61284-811-2",

editor = "I.A. Sukhoivanov and O.V. Shulika",

booktitle = "Conference proceedings - 11th International Conference on Laser and Fiber-Optical Networks Modeling, LFNM 2011",

publisher = "IEEE",

address = "United States",

note = "11th International Conference on Laser and Fiber-Optical Networks Modeling, LFNM 2011 ; Conference date: 04-09-2011 Through 08-09-2011",

}

Nerukh, AG, Zolotariov, DA & Nerukh, DA 2011, Decelerating Airy pulses. in IA Sukhoivanov & OV Shulika (eds), Conference proceedings - 11th International Conference on Laser and Fiber-Optical Networks Modeling, LFNM 2011. IEEE, Piscataway, NJ (US), 11th International Conference on Laser and Fiber-Optical Networks Modeling, Kharkov, Ukraine, 4/09/11. https://doi.org/10.1109/LFNM.2011.6144989

TY - GEN

T1 - Decelerating Airy pulses

AU - Nerukh, A.G.

AU - Zolotariov, D.A.

AU - Nerukh, D.A.

PY - 2011/12

Y1 - 2011/12

N2 - It is shown that an electromagnetic wave equation in time domain is reduced in paraxial approximation to an equation similar to the Schrodinger equation but in which the time and space variables play opposite roles. This equation has solutions in form of time-varying pulses with the Airy function as an envelope. The pulses are generated by a source point with an Airy time varying field and propagate in vacuum preserving their shape and magnitude. The motion is according to a quadratic law with the velocity changing from infinity at the source point to zero in infinity. These one-dimensional results are extended to the 3D+time case when a similar Airy-Bessel pulse is excited by the field at a plane aperture. The same behaviour of the pulses, the non-diffractive preservation and their deceleration, is found.

AB - It is shown that an electromagnetic wave equation in time domain is reduced in paraxial approximation to an equation similar to the Schrodinger equation but in which the time and space variables play opposite roles. This equation has solutions in form of time-varying pulses with the Airy function as an envelope. The pulses are generated by a source point with an Airy time varying field and propagate in vacuum preserving their shape and magnitude. The motion is according to a quadratic law with the velocity changing from infinity at the source point to zero in infinity. These one-dimensional results are extended to the 3D+time case when a similar Airy-Bessel pulse is excited by the field at a plane aperture. The same behaviour of the pulses, the non-diffractive preservation and their deceleration, is found.

UR - http://www.scopus.com/inward/record.url?scp=84857620930&partnerID=8YFLogxK

UR - http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6144989

U2 - 10.1109/LFNM.2011.6144989

DO - 10.1109/LFNM.2011.6144989

M3 - Conference publication

AN - SCOPUS:84857620930

SN - 978-1-61284-811-2

BT - Conference proceedings - 11th International Conference on Laser and Fiber-Optical Networks Modeling, LFNM 2011

A2 - Sukhoivanov, I.A.

A2 - Shulika, O.V.

PB - IEEE

CY - Piscataway, NJ (US)

T2 - 11th International Conference on Laser and Fiber-Optical Networks Modeling

Y2 - 4 September 2011 through 8 September 2011

ER -

Decelerating Airy pulses

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