## Evaluation of laser-sheet beam shape coefficients in generalized Lorenz–Mie theory by use of a localized approximation

JOSA A, Vol. 11, Issue 7, pp. 2072-2079 (1994)

http://dx.doi.org/10.1364/JOSAA.11.002072

Enhanced HTML Acrobat PDF (913 KB)

### Abstract

The use of laser sheets is of growing interest in many measurement techniques relying on light scattering. Device performances must often be analyzed with generalized Lorenz–Mie theory, which requires the evaluation of beam shape coefficients describing the incident beams. In the case of Gaussian beams these coefficients are most efficiently computed by a localized approximation. The localized approximation procedure for Gaussian beams is here successfully generalized to the case of laser sheets.

© 1994 Optical Society of America

**History**

Original Manuscript: September 1, 1993

Revised Manuscript: December 17, 1993

Manuscript Accepted: January 17, 1994

Published: July 1, 1994

**Citation**

K. F. Ren, G. Gréhan, and G. Gouesbet, "Evaluation of laser-sheet beam shape coefficients in generalized Lorenz–Mie theory by use of a localized approximation," J. Opt. Soc. Am. A **11**, 2072-2079 (1994)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-7-2072

Sort: Year | Journal | Reset

### References

- A. A. Naqwi, X.-Z. Liu, F. Durst, “Dual-cylindrical wave method for particle sizing,” Part. Part. Syst. Charact. 7, 45–53 (1990). [CrossRef]
- A. A. Naqwi, X.-Z. Liu, F. Durst, “Evaluation of the dual-cylindrical wave laser technique for sizing of liquid droplets, Part. Part. Syst. Charact. 9, 44–51 (1992). [CrossRef]
- R. J. Adrian, “Scattering particle characteristics and their effect on pulsed laser measurements of fluid flow: speckle velocimetry vs particle image velocimetry,” Appl. Opt. 23, 1960–1961 (1984). [CrossRef]
- R. J. Adrian, “The role of particle image velocimetry in fluid mechanics,” in Proceedings of Optical Methods and Data Processing in Heat and Fluid Flow, (Institution of Mechanical Engineers, London, 1992), pp. 1–6.
- G. Gouesbet, B. Maheu, G. Gréhan, “Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation,” J. Opt. Soc. Am. A 5, 1427–1443 (1988). [CrossRef]
- B. Maheu, G. Gouesbet, G. Gréhan, “A concise presentation of the generalized Lorenz–Mie theory for arbitrary location of the scatterer in an arbitrary incident profile,” J. Opt. (Paris) 19, 59–67 (1988). [CrossRef]
- G. Gouesbet, G. Gréhan, B. Maheu, “Generalized Lorenz–Mie theory and applications to optical sizing,” in Combustion Measurements, N. Chigier, ed. (Hemisphere, New York, 1991), Chap. 10, pp. 339–384.
- G. Gouesbet, G. Gréhan, “Sur la généralisation de la théorie de Lorenz–Mie,” J. Opt. (Paris) 13, 97–103 (1982). [CrossRef]
- F. Guilloteau, G. Gréhan, G. Gouesbet, “Optical levitation experiments to assess the validity of the generalized Lorenz–Mie theory,” Appl. Opt. 31, 2942–2951 (1992). [CrossRef] [PubMed]
- G. Gréhan, G. Gouesbet, F. Guilloteau, J. P. Chevaillier, “Comparison of the diffraction theory and the generalized Lorenz–Mie theory for a sphere arbitrarily located into a laser beam,” Opt. Commun. 90, 1–6 (1992). [CrossRef]
- G. Gréhan, G. Gouesbet, A. Naqwi, F. Durst, “On elimination of the trajectory effects in phase-Doppler systems,” in Proceedings of the 5th European Symposium on Particle Characterization, Nürnberg, Germany, March1992, pp. 309–318.
- G. Gréhan, G. Gouesbet, A. Naqwi, F. Durst, “Trajectory ambiguities in phase-Doppler systems: use of polarizers and additional detectors to suppress the effect,” in Proceedings of the 6th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, July1992.
- K. F. Ren, G. Gréhan, G. Gouesbet, “Electromagnetic field expression of laser sheet and the order of approximation,” submitted to J. Opt. (Paris).
- J. P. Barton, D. R. Alexander, S. A. Schaub, “Internal and near-surface electromagnetic fields for a spherical particle irradiated by a focussed laser beam,” J. Appl. Phys. 64, 1632–1639 (1988). [CrossRef]
- G. Gouesbet, G. Gréhan, B. Maheu, “Computations of the coefficients gn in the generalized Lorenz–Mie theory using three different methods,” Appl. Opt. 27, 4874–4883 (1988). [CrossRef] [PubMed]
- G. Gouesbet, G. Gréhan, B. Maheu, “Expressions to compute the coefficients gnm in the generalized Lorenz–Mie theory, using finite series,” J. Opt. (Paris) 19, 35–48 (1988). [CrossRef]
- G. Gréhan, B. Maheu, G. Gouesbet, “Scattering of laser beams by Mie scatter centers: numerical results using a localized approximation,” Appl. Opt. 25, 3539–3548 (1986). [CrossRef]
- B. Maheu, G. Gréhan, G. Gouesbet, “Generalized Lorenz–Mie theory: first exact values and comparisons with the localized approximation,” Appl. Opt. 26, 23–26 (1987). [CrossRef] [PubMed]
- B. Maheu, G. Gréhan, G. Gouesbet, “Ray localization in Gaussian beams,” Opt. Commun. 70, 259–262 (1989). [CrossRef]
- G. Gouesbet, G. Gréhan, B. Maheu, “On the generalized Lorenz–Mie theory: first attempts to design a localized approximation to the computation of the coefficients,” J. Opt. (Paris) 20, 31–43 (1989). [CrossRef]
- G. Gouesbet, G. Gréhan, B. Maheu, “Localized interpretation to compute all the coefficients gnm in the generalized Lorenz–Mie theory,” J. Opt. Soc. Am. A 7, 998–1007 (1990). [CrossRef]
- K. F. Ren, G. Gréhan, G. Gouesbet, “Localized approximation of generalized Lorenz–Mie theory: fast algorithm for computations of beam shape coefficients gnm,” Part. Part. Syst. Charact. 9, 144–150 (1992). [CrossRef]
- J. A. Lock, “The contribution of high-order rainbows to the scattering of a Gaussian laser beam by a spherical particle,” J. Opt. Soc. Am. A 10, 693–706 (1993). [CrossRef]
- W. H. Carter, “Electromagnetic field of a Gaussian beam with an elliptical cross section,” J. Opt. Soc. Am. 62, 1195–1201 (1972). [CrossRef]

## 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.