Optical Bit Error Rate

Chapter 2.12.4 - Effective Area

2.12.4   Effective Area

Consider the cross section of a fiber with a step index; that is, the refractive index is
constant along the radius of the cross section of the core. Thus, when light propagates
along the fiber core, photonic energy is distributed uniformly across the core, and for
all practical cases, when the area of the core is needed to calculate power density or
some figure of merit, the area is calculated as A = πr2. However, in most fibers, the
distribution of the refractive index is not constant. Although the physical dimensions
of the fiber core remain the same (9 μm with a physical area A = 63.5 μm2), the area
experienced by the photonic energy (at a specific wavelength) is slightly different.
This area is termed the “effective area” (Aeff) and this is used instead.

The effective area depends on the physical dimension of the core, on the distribution
of the refractive index along its radius, and on the wavelength. Therefore,
there is no straightforward formula for all fibers and cases and, as a consequence,
an estimation of Aeff is provided by fiber manufacturers. Typically, the effective
area may vary from 40 to 80 μm2; in specialty fibers, Aeff may higher than that
(Table 2.3). A ratio that is also of interest in many calculations involves Aeff and the


Table 2.3. Parameters, including the effective area for certain fibers


nonlinear refractive index of the fiber n2 is n2/Aeff; this ratio is termed the non-linear
coefficient (ITU-T G.655). An implication that is of interest in this book is that as
the effective area of the fiber increases the probability of having bits in error reduces.
Thus, in general, it is preferable to use fibers with larger Aeff.

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