OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 33 — Nov. 20, 1998
  • pp: 7842–7855

Development of a generalized theoretical model for the response of a phase/Doppler measurement system to arbitrarily oriented fibers illuminated by Gaussian beams

Scott A. Schaub, James A. Lock, and Amir A. Naqwi  »View Author Affiliations


Applied Optics, Vol. 37, Issue 33, pp. 7842-7855 (1998)
http://dx.doi.org/10.1364/AO.37.007842


View Full Text Article

Enhanced HTML    Acrobat PDF (417 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a generalized theoretical model for the response of the phase/Doppler (P/D) measurement system to light scattered by cylindrical fibers. This theoretical model is valid for arbitrary fiber diameters and refractive indices, for Gaussian incident beams, and it accounts for arbitrary fiber orientations, fiber positions, and effects that are due to the two-dimensional receivers. The generalized P/D computer model (GPDCM) is the extension of an earlier study by the authors, combining past P/D simulation methodology with recent developments in modeling light scattering by tilted cylindrical fibers. A fortran computer program that implements the GPDCM theoretical development was written and tested against known P/D results and physical expectations. To illustrate the capabilities of the GPDCM, we present computation results, comparing the effect of fiber tilt, fiber position, and receiver aperture on the performance of P/D systems configured in backscatter and sidescatter arrangements. Calculations show that the effects of fiber tilt and position are most pronounced in the backscatter P/D arrangement, resulting in broadening of the measured phase distribution. The calculated mean phase shifts, however, were found to be essentially independent of the above factors. Computational results also showed that the effect of fiber tilt and position on phase-distribution measurements can be reduced through proper choice of aperture shape and by imposition of threshold criteria on measurable signal characteristics such as the amplitude ratio and visibilities. The GPDCM provides a computational tool that will be valuable in the design, optimization, and evaluation of P/D fiber measurement systems.

© 1998 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(280.1100) Remote sensing and sensors : Aerosol detection
(290.0290) Scattering : Scattering

History
Original Manuscript: April 7, 1998
Revised Manuscript: August 31, 1998
Published: November 20, 1998

Citation
Scott A. Schaub, James A. Lock, and Amir A. Naqwi, "Development of a generalized theoretical model for the response of a phase/Doppler measurement system to arbitrarily oriented fibers illuminated by Gaussian beams," Appl. Opt. 37, 7842-7855 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-33-7842


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. Saffman, P. Buchhave, H. Tanger, “Simultaneous measurement of size, concentration and velocity of spherical particles by a laser Doppler method,” in Laser Anemometry in Fluid Mechanics II, R. J. Adrian, D. F. Durao, F. Durst, H. Mishina, J. Whitelaw, eds. (LADOAN, Lisbon, Portugal, 1984), pp. 85–103.
  2. S. V. Sankar, W. D. Bachalo, “Response characteristics of the phase Doppler particle analyzer for sizing particles larger than the light wavelength,” Appl. Opt. 30, 1487–1496 (1991). [CrossRef] [PubMed]
  3. A. Naqwi, F. Durst, “Analysis of laser light-scattering interferometric devices for in-line diagnostics of moving particles,” Appl. Opt. 32, 4003–4018 (1993). [PubMed]
  4. S. V. Sankar, B. J. Weber, D. Y. Damemoto, W. D. Bachalo, “Sizing fine particles with the phase Doppler interferometric technique,” Appl. Opt. 30, 4914–4920 (1991). [CrossRef] [PubMed]
  5. S. A. Schaub, D. R. Alexander, J. P. Barton, “Theoretical analysis of the effects of particle trajectory and particle resonances on the performance of a phase-Doppler particle analyzer,” Appl. Opt. 33, 473–483 (1994). [CrossRef] [PubMed]
  6. S. A. Schaub, A. A. Naqwi, F. L. Harding, “Design of a phase/Doppler light-scattering system for measurement of small-diameter glass fibers during fiberglass manufacturing,” Appl. Opt. 37, 573–585 (1998). [CrossRef]
  7. H. Mignon, G. Grehan, G. Gouesbet, T. H. Xu, C. Tropea, “Measurement of cylindrical particles with phase Doppler anemometry,” Appl. Opt. 35, 5180–5190 (1996). [CrossRef] [PubMed]
  8. A. Naqwi, L. M. Jensen, “Device for interferometric measurements with compensation for tilt and position of measured cylindrical objects,” U.S. Patent5,513,004 (30April1996).
  9. A. Naqwi, T. Mahon, D. Havir, P. Tsai, C. Hassenboehler, L. Wadsworth, “On-line sizing of meltblown and spunbond fibers using adaptive phase/Doppler velocimeter (APV) method,” in Book of Papers, INDA-TEC 95 (Association of Nonwoven Fabrics Industry, Cary, N.C., 1995), pp. 167–184.
  10. J. A. Lock, “Scattering of a diagonally incident focused Gaussian beam by an infinitely long homogeneous circular cylinder,” J. Opt. Soc. Am. A 14, 640–652 (1997). [CrossRef]
  11. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  12. J. B. Keller, H. B. Keller, “Determination of reflected and transmitted fields by geometrical optics,” J. Opt. Soc. Am. 40, 48–52 (1950). [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.

CrossCheck Deposited