Standing wave

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 and some multimode fibers.

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 $\mathrm{△}=\frac{n_1-n_2}{n_1}\ll 1$. The value of n₁ is typically between 1.44 and 1.46, and $\mathrm{△}$ 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.

Pulse dispersion in a step index optical fiber is given by

$\text{pulse dispersion}=\frac{\mathrm{△}{n}_1\ell }{c}$

where

$\mathrm{△}$ is the difference in refractive indices of core and cladding.

$n_1$ is the refractive index of core

$\ell$ is the length of the optical fiber under observation

$c=3\times 10^8{\mathrm{m}\mathrm{s}}^{-1}$

See also

• Graded-index fiber
• Critical Angle
• Numerical aperture

References

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