Decelerating Airy pulses

Author

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

Author_Institution

Kharkov Nat. Univ. of Ractio Electron., Kharkov, Ukraine

fYear

2011

fDate

5-9 Sept. 2011

Firstpage

1

Lastpage

2

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.

Keywords

light diffraction; light propagation; light sources; optical pulse generation; Airy function; Airy time varying field; Airy-Bessel pulse; Schrodinger equation; decelerating Airy pulses; electromagnetic wave equation; light propagation; nondiffractive preservation; paraxial approximation; pulse generation; quadratic law; Electromagnetics;

fLanguage

English

Publisher

ieee

Conference_Titel

Laser and Fiber-Optical Networks Modeling (LFNM), 2011 11th International Conference on

Conference_Location

Kharkov

ISSN

Pending

Print_ISBN

978-1-61284-811-2

Type

conf

DOI

10.1109/LFNM.2011.6144989

Filename

6144989