## Computation of tightly-focused laser beams in the FDTD method |

Optics Express, Vol. 21, Issue 1, pp. 87-101 (2013)

http://dx.doi.org/10.1364/OE.21.000087

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### Abstract

We demonstrate how a tightly-focused coherent TEM* _{mn}* laser beam can be computed in the finite-difference time-domain (FDTD) method. The electromagnetic field around the focus is decomposed into a plane-wave spectrum, and approximated by a finite number of plane waves injected into the FDTD grid using the total-field/scattered-field (TF/SF) method. We provide an error analysis, and guidelines for the discrete approximation. We analyze the scattering of the beam from layered spaces and individual scatterers. The described method should be useful for the simulation of confocal microscopy and optical data storage. An implementation of the method can be found in our free and open source FDTD software (“Angora”).

© 2013 OSA

**OCIS Codes**

(000.4430) General : Numerical approximation and analysis

(180.1790) Microscopy : Confocal microscopy

(210.0210) Optical data storage : Optical data storage

(050.1755) Diffraction and gratings : Computational electromagnetic methods

**ToC Category:**

Physical Optics

**History**

Original Manuscript: October 8, 2012

Revised Manuscript: December 2, 2012

Manuscript Accepted: December 3, 2012

Published: January 2, 2013

**Virtual Issues**

Vol. 8, Iss. 2 *Virtual Journal for Biomedical Optics*

**Citation**

İlker R. Çapoğlu, Allen Taflove, and Vadim Backman, "Computation of tightly-focused laser beams in the FDTD method," Opt. Express **21**, 87-101 (2013)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-1-87

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