Decelerating Airy pulses

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

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

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 languageEnglish
Title of host publicationConference proceedings - 11th International Conference on Laser and Fiber-Optical Networks Modeling, LFNM 2011
EditorsI.A. Sukhoivanov, O.V. Shulika
Place of PublicationPiscataway, NJ (US)
PublisherIEEE
Number of pages2
ISBN (Electronic)978-1-61284-813-6
ISBN (Print)978-1-61284-811-2
DOIs
Publication statusPublished - Dec 2011
Event11th International Conference on Laser and Fiber-Optical Networks Modeling - Kharkov, Ukraine
Duration: 4 Sep 20118 Sep 2011

Conference

Conference11th International Conference on Laser and Fiber-Optical Networks Modeling
Abbreviated titleLFNM 2011
CountryUkraine
CityKharkov
Period4/09/118/09/11

Fingerprint

Schrodinger equation
Deceleration
Wave equations
Electromagnetic waves
Vacuum

Cite this

Nerukh, A. G., Zolotariov, D. A., & Nerukh, D. A. (2011). Decelerating Airy pulses. In I. A. Sukhoivanov, & O. V. Shulika (Eds.), Conference proceedings - 11th International Conference on Laser and Fiber-Optical Networks Modeling, LFNM 2011 Piscataway, NJ (US): IEEE. https://doi.org/10.1109/LFNM.2011.6144989
Nerukh, A.G. ; Zolotariov, D.A. ; Nerukh, D.A. / Decelerating Airy pulses. Conference proceedings - 11th International Conference on Laser and Fiber-Optical Networks Modeling, LFNM 2011. editor / I.A. Sukhoivanov ; O.V. Shulika. Piscataway, NJ (US) : IEEE, 2011.
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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

Decelerating Airy pulses. / Nerukh, A.G.; Zolotariov, D.A.; Nerukh, D.A.

Conference proceedings - 11th International Conference on Laser and Fiber-Optical Networks Modeling, LFNM 2011. ed. / I.A. Sukhoivanov; O.V. Shulika. Piscataway, NJ (US) : IEEE, 2011.

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

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