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Airy Wave Packets Accelerating in Space-Time.

H Esat Kondakci1, Ayman F Abouraddy1

  • 1CREOL, The College of Optics & Photonics, University of Central Florida, Orlando, Florida 32816, USA.

Physical Review Letters
|May 15, 2018
PubMed
Summary

Researchers synthesized an acceleration-free Airy wave packet by modifying its spatiotemporal spectrum. This novel approach halts axial dynamics, enabling straight-line propagation and demonstrating "time diffraction".

Area of Science:

  • Wave phenomena
  • Optics
  • Relativistic physics

Background:

  • Diffractive spreading is inherent to wave propagation.
  • Self-similar propagation can be achieved by modifying spatiotemporal field structures.
  • Relativistic reference frames offer a strategy for controlling wave packet dynamics.

Purpose of the Study:

  • To investigate the potential of relativistic Lorentz boosts for achieving optical self-similar propagation.
  • To synthesize an acceleration-free Airy wave packet.
  • To explore the phenomenon of
  • time diffraction

Main Methods:

  • Deforming the spatiotemporal spectrum of an Airy wave packet.
  • Simulating the effects of a Lorentz boost on wave packet dynamics.

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  • Analyzing the axial dynamics and propagation characteristics of the modified wave packet.

    • Main Results:

    • Successfully synthesized an Airy wave packet that propagates in a straight line without axial dynamics.
    • Demonstrated that a Lorentz boost can effectively halt the axial dynamics of a wave packet.
    • Observed "time diffraction" where spatial and temporal roles are swapped, leading to self-acceleration in the wave packet's frame.

    Conclusions:

    • Controlling wave packet propagation is achievable by manipulating spatiotemporal spectra.
    • Relativistic transformations offer a novel pathway to engineer wave propagation.
    • The concept of "time diffraction" provides a new perspective on self-accelerating beams.