The Radius of an Ultrashort Pulsed-Laser to Fresnel Diffraction of a Serrated Aperture
First we give the optical field function at distance z for a monochromatic light according to the Fresnel diffraction theory. The total optical field intensity is an integral of that of the monochromatic light. The total optical field intensity is not only related to the full width at half maximum, the distance, the structure of the serrated aperture, but also the radius of the ultrashort laser pulse. Numerical calculation shows that when the ratio of the averaged radius of the serrated aperture to the radius of the ultrashort laser pulse equals to 1 and the full width at half maximum is within a few tens of femtoseconds, the total optical field intensity reaches a constant along the axis direction and it is more stable than that without considering the radius of the ultrashort laser pulse in case that the Fresnel number of the laser pulse is about a hundred.
Pengcheng Wang, Xiangdong Liu and Yongquan Han
H. S. Wang, "The Radius of an Ultrashort Pulsed-Laser to Fresnel Diffraction of a Serrated Aperture", Advanced Materials Research, Vols. 605-607, pp. 1085-1088, 2013