M. Asunción Illarramendi, Gotzon Aldabaldetreku, Iñaki Bikandi, Joseba Zubia, Gaizka Durana, and Amaia Berganza, "Scattering in step-index polymer optical fibers by side-illumination technique: theory and application," J. Opt. Soc. Am. B 29, 1316-1329 (2012)
In this paper we present a detailed theoretical study that describes the
generation of scattered light in step-index polymer optical fibers by using the
side-illumination scattering measurement technique. A detailed analysis of the
variation of the maximum angle of acceptance within the fiber has been carried
out in order to calculate the scattered light as a function of different
launching conditions. The theoretical model has been developed by using the Mie
theory for spheres in the independent-scatterer approximation.
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Principal Expressions Used in the Theoretical Calculations of the
Scattered Intensity as a Function of the Incident Angle
()a
Angular
Dependence()
Angular
Dependence()
Two particular cases have been distinguished: scatterers placed
within the core () and one scatterer at the
core-cladding interface (). and are the electric fields of the
incident and refracted beams, respectively.
Table 2.
Principal Equations Used in the Theoretical Calculations of the Scattered
Intensity from Scatterers Placed within the Core as a Function of
Incident Lateral Height ()a
Lateral Dependence
and are the electric fields of the
incident and refracted beams, respectively.
Table 3.
Principal Equations Used in the Theoretical Calculations of
the Scattered Intensity from One Scatterer at the Core-Cladding
Interface () as a Function
of Incident Lateral Height
()a
Lateral
Dependence()
is the electric field of the
incident beam.
Table 4.
Expressions Obtained for the Angular Distribution Function
in the Rayleigh Approximation for Two
Launching Conditions and Two Polarizationsa
Angular Dependence
Lateral Dependence
Two particular cases have been distinguished: scatterers within the
core () and one scatterer at the
core-cladding interface
().
Tables (4)
Table 1.
Principal Expressions Used in the Theoretical Calculations of the
Scattered Intensity as a Function of the Incident Angle
()a
Angular
Dependence()
Angular
Dependence()
Two particular cases have been distinguished: scatterers placed
within the core () and one scatterer at the
core-cladding interface (). and are the electric fields of the
incident and refracted beams, respectively.
Table 2.
Principal Equations Used in the Theoretical Calculations of the Scattered
Intensity from Scatterers Placed within the Core as a Function of
Incident Lateral Height ()a
Lateral Dependence
and are the electric fields of the
incident and refracted beams, respectively.
Table 3.
Principal Equations Used in the Theoretical Calculations of
the Scattered Intensity from One Scatterer at the Core-Cladding
Interface () as a Function
of Incident Lateral Height
()a
Lateral
Dependence()
is the electric field of the
incident beam.
Table 4.
Expressions Obtained for the Angular Distribution Function
in the Rayleigh Approximation for Two
Launching Conditions and Two Polarizationsa
Angular Dependence
Lateral Dependence
Two particular cases have been distinguished: scatterers within the
core () and one scatterer at the
core-cladding interface
().