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Airy pulsed beams.

Yan Kaganovsky1, Ehud Heyman

  • 1School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel. yanka@eng.tau.ac.il

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|June 7, 2011
PubMed
Summary
This summary is machine-generated.

Researchers developed ultra wideband Airy pulsed beams (AiPBs) by extending Airy beams (AiBs) into the time domain. These AiPBs maintain unique curved trajectories and low diffraction, preventing pulse dispersion.

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Area of Science:

  • Optics and Photonics
  • Wave Propagation
  • Nonlinear Optics

Background:

  • Airy beams (AiBs) exhibit unique properties like curved trajectories and weak diffraction.
  • AiBs are understood as caustics of rays originating from an Airy function aperture distribution.
  • Extending these properties into the time domain presents challenges in dispersion and trajectory maintenance.

Purpose of the Study:

  • To derive ultra wideband Airy pulsed beams (AiPBs) as a time-domain extension of Airy beams.
  • To ensure all frequency components propagate along the same curved trajectory, preventing pulse dispersion.
  • To provide exact and approximate analytical solutions for AiPBs.

Main Methods:

  • Introduction of a frequency scaling technique for the initial aperture field.
  • Application of the spectral theory of transients for an exact closed-form solution.
  • Derivation of uniform geometrical optics-based wavefront approximations for the time domain.

Main Results:

  • Successfully derived a class of ultra wideband Airy pulsed beams (AiPBs).
  • Demonstrated that frequency scaling ensures a frequency-independent ray skeleton and curved trajectory for all components.
  • Obtained an exact solution and valid uniform approximations for AiPBs, preserving AiB characteristics.
  • Confirmed that AiPBs do not disperse, maintaining their unique propagation features.

Conclusions:

  • Ultra wideband Airy pulsed beams (AiPBs) are successfully derived, extending Airy beam properties into the time domain.
  • The proposed frequency scaling method effectively prevents pulse dispersion and ensures consistent curved trajectory propagation.
  • The derived analytical solutions and approximations provide valuable tools for understanding and utilizing AiPBs in various applications.