title: Fast vectorial calculation of the volumetric focused field distribution by using a three-dimensional Fourier transform.
abstract: We show that the volumetric field distribution in the focal region of a high numerical aperture focusing system can be efficiently calculated with a three-dimensional Fourier transform. In addition to focusing in a single medium, the method is able to calculate the more complex case of focusing through a planar interface between two media of mismatched refractive indices. The use of the chirp z-transform in our numerical implementation of the method allows us to perform fast calculations of the three-dimensional focused field distribution with good accuracy.
authors.affiliation: School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: J
authors.initials: J
authors.lastname: Lin
authors.forename: O G
authors.initials: OG
authors.lastname: Rodríguez-Herrera
authors.forename: F
authors.initials: F
authors.lastname: Kenny
authors.forename: D
authors.initials: D
authors.lastname: Lara
authors.forename: J C
authors.initials: JC
authors.lastname: Dainty
mesh_terms: D004574:Electromagnetic Fields; D005583:Fourier Analysis; D021621:Imaging, Three-Dimensional / Q000379:methods / Q000592:standards; D008027:Light; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted; D055095:Optics and Photonics / Q000379:methods* / Q000592:standards; D012031:Refractometry / Q000379:methods* / Q000592:standards