Spectral behavior of diffracted chirped Gaussian pulses in the far field

doi:10.1078/0030-4026-00335

Optik

Volume 115, Issue 2, 2004, Pages 57-66

https://doi.org/10.1078/0030-4026-00335 Get rights and content

Summary

Based on the Fourier transform method, the analytical expression for the power spectrum of diffracted chirped Gaussian pulses in the far field is derived. Detailed numerical calculations are performed to illustrate the far-field spectral behavior and temporal intensity distributions of diffracted chirped Gaussian pulses. It is shown that the spectrum may be redshifted, blueshifted, and split into two or more than two parts, and the shifting of maximum and splitting of temporal intensity profiles occur. The far-field spectral behavior and temporal intensity distributions of ultrashort chirped Gaussian pulses diffracted at an aperture depend on the truncation parameter δ, pulse duration T, chirp parameter C and diffraction angle α. Specifically, for ultrashort chirped pulses there exists also the spectral switch.

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Cited by (4)

Far-field spectral behaviour and spectral switching of super-Gaussian pulses
2008, Optics Communications
We have presented the far-field spectral behaviour of a super-Gaussian pulse diffracted through a rectangular aperture. It has been found that the on-axis modified power spectrum is always blue shifted, whose value increases with the increase in the value of the super-Gaussian parameter (m). For off-axis case, at some critical angle of diffraction, the diffraction induced far-field power spectrum is split into two lines of equal height. The far-field power spectrum is blue shifted when the diffraction angle is greater than the critical angle, whereas it is red shifted when the diffraction angle is less than the critical angle, i.e., spectral switching occurs. The critical angle for switching significantly increases with the increase in the super-Gaussian parameter (m). An important finding is that the switching frequency, the blue and red shift frequencies can be tuned by varying m.
Tunable spectral switching in the far field with a chirped cosh-Gaussian pulse
2006, Optics Communications
Citation Excerpt :
Though most investigations on the anomalous spectral behaviour have been carried out for light beams, ultra-short pulses [34–36] also have drawn attention. For example, spectral behaviour as well as the spectral switching of diffracted chirped Gaussian pulses in near field [37] and far field have been studied recently [38–40]. An important issue pertaining to spectral switching is whether such switching could be made tunable as well.
Spectral properties of chirped Gaussian pulsed beams propagating through the turbulent atmosphere
2007, Journal of Modern Optics
Diffraction induced space-time splitting effects in ultra-short pulse propagation
2006, Journal of Modern Optics

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Spectral behavior of diffracted chirped Gaussian pulses in the far field

Summary

Opt. Commun.

Opt. Commun.

Opt. Commun.

Anomalous behavior of spectra near phase singularities of focused waves

Phys. Rev. Lett.

Singular behavior of the spectrum in the neighborhood of focus

J. Opt. Soc. Am.

Spectral anomalies in a Fraunhofer diffraction pattern

Opt. Lett.

Spectral anomalies at wave-front dislocations

Phys. Rev. Lett.