Focusing of axially symmetric flattened Gaussian beams

Abstract

We study the three-dimensional field distribution of a focused axially symmetric flattened Gaussian beam. In particular, exact closed-form expressions for the intensity along the optical axis and at the focal plane are provided, together with a comparison between our results and those pertinent to the case of a converging spherical wave diffracted by a hard-edge circular aperture. Some hints for future investigations are also given

EARLI: design of a laser wakefield accelerator for AWAKE

“…3) at 226.6 MeV, 97.2 pC, 2.5 mm.mrad and 3.2% relative energy spread using the mentioned density profile. Simulations were performed assuming a flattened Gaussian laser beam of order 6 [8] with normalized field amplitude a 0 = 1.36, waist size w 0 = 20.9 µm, the electric field amplitude duration τ 0 = 25 fs and focused at position (relative to the beginning of the plasma) z f oc = 3600 µm. The Fermi-Dirac distribution parameters for the gas 1 and 2 are z c1 = 1750 µm, µ 1 = 450 µm, T 1l = 90 µm and T 1r = 97 µm, z c2 = 3578 µm, µ 1 = 1363 µm , T 2l = 85 µm and T 2r = 200 µm, which gives a distribution with the nitrogen dopant concentrated in the initial density peak, as in [6].…”

Approximate analytical expression of flattened Gaussian beams passing through a paraxial optical system with an annular aperture

“…Since the concept of flattened Gaussian beams(FGBs) was introduced by Gori in 1994 [1] , the number of papers about the propagation characteristics of FGBs is continuously increasing [2][3][4][5] . But the FGBs passing through an annular aperture paraxial optical system, to our knowledge, has not been studied elsewhere.…”

Field description and electron acceleration of focused flattened Gaussian laser beams

“…done in an exact and simple way by using the propagation law for LG beams [11][12][13]. What Gori concerned about in his paper is the distribution of light intensity and obtaining one main transverse component, i.e.…”