## Fast vectorial calculation of the volumetric focused field distribution by using a three-dimensional Fourier transform |

Optics Express, Vol. 20, Issue 2, pp. 1060-1069 (2012)

http://dx.doi.org/10.1364/OE.20.001060

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### 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.

© 2012 OSA

**OCIS Codes**

(050.1960) Diffraction and gratings : Diffraction theory

(110.0180) Imaging systems : Microscopy

(180.6900) Microscopy : Three-dimensional microscopy

(260.1960) Physical optics : Diffraction theory

(260.5430) Physical optics : Polarization

(070.7345) Fourier optics and signal processing : Wave propagation

**ToC Category:**

Physical Optics

**History**

Original Manuscript: August 23, 2011

Revised Manuscript: October 9, 2011

Manuscript Accepted: October 11, 2011

Published: January 4, 2012

**Virtual Issues**

Vol. 7, Iss. 3 *Virtual Journal for Biomedical Optics*

**Citation**

J. Lin, O. G. Rodríguez-Herrera, F. Kenny, D. Lara, and J. C. Dainty, "Fast vectorial calculation of the volumetric focused field distribution by using a three-dimensional Fourier transform," Opt. Express **20**, 1060-1069 (2012)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-20-2-1060

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