Accelerating parabolic beams

We demonstrate the existence of accelerating parabolic beams that constitute, together with the Airy beams, the only orthogonal and complete families of solutions of the two-dimensional paraxial wave equation that exhibit the unusual ability to remain diffraction-free and freely accelerate during pr...

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Bibliographic Details
Published in:Optics letters 2008-08, Vol.33 (15), p.1678-1680
Main Author: BANDRES, Miguel A
Format: Article
Language:English
Subjects:
Diffraction and scattering
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Optics
Physics
Wave optics
Wave propagation, transmission and absorption
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Summary:We demonstrate the existence of accelerating parabolic beams that constitute, together with the Airy beams, the only orthogonal and complete families of solutions of the two-dimensional paraxial wave equation that exhibit the unusual ability to remain diffraction-free and freely accelerate during propagation. Since the accelerating parabolic beams, like the Airy beams, carry infinite energy, we present exact finite-energy accelerating parabolic beams that still retain their unusual features over several diffraction lengths.
ISSN:0146-9592
1539-4794
DOI:10.1364/OL.33.001678