Open AccessThe beam quality of vectorial nonparaxial Hermite-Laguerre-Gaussian beams
Author(s) -
Xiaoping Kang,
Z. Y. He,
Baida Lü
Publication year - 2006
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.55.4569
Subject(s) - physics , poynting vector , beam (structure) , laguerre polynomials , gaussian , optics , gaussian beam , hermite polynomials , diffraction , light beam , quantum mechanics , magnetic field
Based on the vectorial Rayleigh-Sommerfeld diffraction integrals, the closed-form expressions of vectorial nonparaxial circularly polarized Hermite-Laguerre-Gaussian (HLG) beams in the far-field are derived. The vectorial nonparaxial circularly polarized Gaussian beam is treated as a special case of our general formulae. The power in the bucket (PIB) is extended to the nonparaxial regime, where the intensity is replaced by the z component of the time-averaged Poynting vector, and used to characterize the beam quality of nonparaxial beams in the far field. Numerical calculation and analysis show the dependence of the PIB of vectorial nonparaxial HLG beams on the waist width-to-wavelength ratio w0/λ, as well as on the parameter α, mode indexes n and m, and bucket's size chosen.