Decelerating Airy pulses

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

    Research output: Chapter in Book/Published conference outputConference publication


    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)
    Number of pages2
    ISBN (Electronic)978-1-61284-813-6
    ISBN (Print)978-1-61284-811-2
    Publication statusPublished - Dec 2011
    Event11th International Conference on Laser and Fiber-Optical Networks Modeling - Kharkov, Ukraine
    Duration: 4 Sept 20118 Sept 2011


    Conference11th International Conference on Laser and Fiber-Optical Networks Modeling
    Abbreviated titleLFNM 2011


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