Open AccessPropagation and spatiotemporal coupling of iso-diffraction ultra-short pulsed Hermite Gaussian beams in free space
Author(s) -
Daquan Lu,
Hu Wei,
Qian Lie-Jia,
Dianyuan Fan
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.1655
Subject(s) - hermite polynomials , diffraction , physics , gaussian , paraxial approximation , transverse plane , beam (structure) , optics , computational physics , mathematical analysis , mathematics , quantum mechanics , structural engineering , engineering
A family of solutions called iso-diffraction ultra-short pulsed Hermite Gaussian beams UPHGB are obtained based on the paraxial propagation equation. The propagation of UPHGB is investigated in detail. The examples shows that: the nonuniformlly distributed group velocity causes the time delay at the beam periphery, which in turn induces the deviation of the transverse distribution from the Hermite Gaussian function. In propagation, the number of pulse polarity inverions varies with the order of the UPHGB. And this phenomenon originates in the difference between the group velocity and the phase velocity in UPHGB.