title: Quasi-Gaussian beam analytical basis and comparison with an alternative approach (L).
abstract: A superposition of propagating Bessel beams was recently numerically demonstrated to approximate a Gaussian beam and was used to evaluate the scattering by a sphere centered on the focal point of the beam. An analytical beam synthesis used in optics by Agrawal and Pattanayak [J. Opt. Soc. Am. 69, 575-578 (1979)] is found here to be recovered as the weak focusing limit of the quasi-Gaussian beam when evanescent contributions are omitted from the analytical synthesis. The propagating-wave part of the analytical synthesis has similarities to, and differences from, the recent quasi-Gaussian approximation.
authors: Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814, USA. marston@wsu.edu
authors: Philip L
authors: PL
authors: Marston
mesh_terms: D000162:Acoustics; D003198:Computer Simulation; D008962:Models, Theoretical; D009038:Motion; D009716:Numerical Analysis, Computer-Assisted; D055095:Optics and Photonics / Q000379:methods*; D012542:Scattering, Radiation; D013016:Sound; D013997:Time Factors