Spectral anomalies of pulsed Hermite–Gaussian beams focused by a dispersive aperture lens

Abstract

Starting from the Huygens–Fresnel diffraction integral, the recurrence expressions for the power spectra of pulsed Hermite–Gaussian (H–G) beams focused by a dispersive aperture lens are derived and the spectral anomalies of pulsed H–G beams in the focused field are studied. Numerical results are given to illustrate the dependence of spectral anomalies’ behavior on the pulse parameters, truncation parameter and material dispersion of the lens. The potential applications of spectral anomalies of ultrashort pulsed beams in information encoding and information transmission are considered.