Open AccessNonparaxial analysis of far-field properties of Gaussian beams diffracted at a circular aperture
Author(s) -
Kailiang Duan,
Baida Lü
Publication year - 2003
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.11.001474
Subject(s) - paraxial approximation , diffraction , optics , physics , angular spectrum method , gaussian beam , truncation (statistics) , gaussian , aperture (computer memory) , near and far field , beam (structure) , ptychography , field (mathematics) , mathematics , quantum mechanics , acoustics , statistics , pure mathematics
On the basis of angular spectrum representation and the stationary-phase method, a far-field expression for nonparaxial Gaussian beams diffracted at a circular aperture is derived, which permits us to study the far-field nonparaxial properties of apertured Gaussian beams both analytically and numerically. It is shown that for the apertured case, the f -parameter and the truncation parameter affect the beam's far-field properties. The f -parameter plays the more important role in determining the beam nonparaxiality than does the truncation parameter, whereas the truncation parameter additionally influences the beam diffraction. A comparison with the paraxial case is made. For the unapertured case our results reduce to the previous ones.