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 he valuable in the design, optimization, and evaluation of P/D fiber measurement systems. (C) 1998 Optical Society of America. OCIS codes: 290.0290, 280.1100, 120.3180.
Development of a Generalized Theoretical Model for the Response of a Phase/Doppler Measurement System to Arbitrarily Oriented Fibers Illuminated by Gaussian BeamsApplied Optics
Publisher's StatementThis paper was published in Applied Optics and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-33-7842. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Citation InformationSchaub, Scott A., 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." Applied Optics 37 (1998): 7842-7855.