OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 22 — Aug. 1, 2013
  • pp: 5342–5347

Off-axis laser beam imaging and characterization with two cameras

Frank Hanson and Ike Bendall  »View Author Affiliations

Applied Optics, Vol. 52, Issue 22, pp. 5342-5347 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (561 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Off-axis scattering of laser beams propagating in the atmosphere has been imaged by two separated cameras. We give a theoretical analysis and report experiments that show how these images can be used to reconstruct the position and orientation of the beam relative to the cameras. The information from a single image of the beam only determines the beam within a plane. However, the intersection of these planes of ambiguity using images from two cameras can determine the beam uniquely. When the two planes are nearly parallel, an independent method based on the relative radiance at each camera can be used to determine the beam direction.

© 2013 Optical Society of America

OCIS Codes
(010.1310) Atmospheric and oceanic optics : Atmospheric scattering
(280.3420) Remote sensing and sensors : Laser sensors
(290.1310) Scattering : Atmospheric scattering
(290.5825) Scattering : Scattering theory

ToC Category:
Remote Sensing and Sensors

Original Manuscript: May 21, 2013
Manuscript Accepted: June 28, 2013
Published: July 22, 2013

Frank Hanson and Ike Bendall, "Off-axis laser beam imaging and characterization with two cameras," Appl. Opt. 52, 5342-5347 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. S. G. Gathman, “Optical properties of the marine aerosol as predicted by the Navy aerosol model,” Opt. Eng. 22, 220157 (1983). [CrossRef]
  2. N. Roy and F. Reid, “Off-axis laser detection model in coastal areas,” Opt. Eng. 47, 086002 (2008). [CrossRef]
  3. J. K. Michulec and R. Schleijpen, “Influence of aerosols on off-axis laser detection capabilities,” Proc. SPIE 7463, 1–12 (2009).
  4. O. Dubovik, B. Holben, T. F. Eck, A. Smirnov, Y. J. Kaufman, M. D. King, D. Tanré, and I. Slutsker, “Variability of absorption and optical properties of key aerosol types observed in worldwide locations,” J. Atmos. Sci. 59, 590–608 (2002). [CrossRef]
  5. F. Hanson, C. Bendall, C. Deckard, and H. Haidar, “Off-axis detection and characterization of laser beams in the maritime atmosphere,” Appl. Opt. 50, 3050–3056 (2011). [CrossRef]
  6. T. Moons, L. V. Gool, and M. Vergauwen, “3D reconstruction from multiple images part 1: principles,” Found. Trends Comput. Graph. Vis. 4, 287–404 (2008). [CrossRef]
  7. A. M. J. van Eijk, J. T. Kusmierczyk-Michulec, and J. J. Piazzola, “The Advanced Navy Aerosol Model (ANAM): validation of small-particle modes,” Proc. SPIE 8161, 816108 (2011). [CrossRef]
  8. J.-Y. Bouguet, “Camera calibration toolbox for Matlab,” http://www.vision.caltech.edu/bouguetj/calib_doc/index.html#updates .
  9. R. M. Gagliardi and S. Karp, Optical Communications (Wiley, 1995).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited