Engineering:Step-index profile
For an optical fiber, a step-index profile is a refractive index profile characterized by a uniform refractive index within the core and a sharp decrease in refractive index at the core-cladding interface so that the cladding is of a lower refractive index. The step-index profile corresponds to a power-law index profile with the profile parameter approaching infinity. The step-index profile is used in most single-mode fibers[1] and some multimode fibers.[2]
A step-index fiber is characterized by the core and cladding refractive indices n1 and n2 and the core and cladding radii a and b. Examples of standard core and cladding diameters 2a/2b are 8/125, 50/125, 62.5/125, 85/125, or 100/140 (units of µm). The fractional refractive-index change [math]\displaystyle{ \triangle \, = \frac{n_1 - n_2}{n_1} \ll \ 1 }[/math]. The value of n1 is typically between 1.44 and 1.46, and [math]\displaystyle{ \triangle }[/math] is typically between 0.001 and 0.02.
Step-index optical fiber is generally made by doping high-purity fused silica glass (SiO2) with different concentrations of materials like titanium, germanium, or boron.
Modal dispersion in a step index optical fiber is given by
[math]\displaystyle{ \text{pulse dispersion} = \frac{\triangle\ n_1\ \ell}{c}\,\! }[/math]
where
- [math]\displaystyle{ \triangle\,\! }[/math] is the fractional index of refraction
- [math]\displaystyle{ n_1\,\! }[/math] is the refractive index of core
- [math]\displaystyle{ \ell\,\! }[/math] is the length of the optical fiber under observation
- [math]\displaystyle{ c }[/math] is the speed of light.
See also
References
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