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Three-dimensional locating of paraxial point source with axicon |
Optics Letters, Vol. 37, Issue 11, pp. 2058-2060 (2012)
http://dx.doi.org/10.1364/OL.37.002058
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Abstract
This Letter presents a theoretical and experimental study of an axicon illuminated by an off-axis paraxial point source. The Fresnel diffraction integral is applied to show that a paraxial point source produces a Bessel beam. A simple analytical relationship is demonstrated between the location of the point source and the spatial frequency and the center of the resulting Bessel beam in the image plane of a camera. Finally, experimental verification is given by translating a point source of light along the optical axis of an axicon and comparing the resulting predicted and recorded beam intensity profiles. The resulting images are then analyzed to predict the location of the point source with excellent accuracy.
© 2012 Optical Society of America
OCIS Codes
(110.4850) Imaging systems : Optical transfer functions
(110.6880) Imaging systems : Three-dimensional image acquisition
(170.6900) Medical optics and biotechnology : Three-dimensional microscopy
(230.5480) Optical devices : Prisms
(110.7348) Imaging systems : Wavefront encoding
ToC Category:
Instrumentation, Measurement, and Metrology
History
Original Manuscript: January 3, 2012
Revised Manuscript: March 27, 2012
Manuscript Accepted: March 29, 2012
Published: May 30, 2012
Citation
Craig Snoeyink and Steve Wereley, "Three-dimensional locating of paraxial point source with axicon," Opt. Lett. 37, 2058-2060 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-11-2058
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