Modes and numerical aperture of a fiber optic cable

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SUMMARY

The numerical aperture (NA) of a fiber optic cable is calculated using the formula √(n_core² - n_cladding²), where n_core and n_cladding represent the refractive indices of the core and cladding, respectively. A larger NA indicates a greater ability to collect light, suggesting that fibers with high NA are typically multimode. However, a single-mode fiber does not automatically correlate with a small NA; instead, NA is independent of core diameter, as the index of refraction varies non-linearly with radius.

PREREQUISITES
  • Understanding of fiber optic principles
  • Knowledge of refractive indices
  • Familiarity with light propagation and total internal reflection (TIR)
  • Basic concepts of single-mode and multimode fibers
NEXT STEPS
  • Research the relationship between numerical aperture and fiber mode types
  • Explore the impact of core diameter on fiber optic performance
  • Learn about the non-linear variation of refractive indices in optical fibers
  • Investigate applications of multimode versus single-mode fibers in telecommunications
USEFUL FOR

Optical engineers, telecommunications professionals, and students studying fiber optics will benefit from this discussion, particularly those interested in the technical specifications and performance characteristics of fiber optic cables.

fisico30
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Hello Forum,
the numerical aperture NA of a fiber optics is given by the square root of the squared core index minus the squared cladding index.
The NA indicates the angular ability to collect light from the outside of the fiber, i.e. the max semi-angle over which light will enter the fiber and suffer TIR and be guided.

If NA is large, does it automatically mean that the fiber will be multimode?
Does a single mode fiber automatically have a small NA?

In the formula for NA there is no mention about the diameter of the core. I would think that the larger the core the larger the NA...single mode fibers have small size core...

thanks
fisico30
 
Engineering news on Phys.org
In fiber optics, NA is expressed in terms of the range of angles rather than the diameter. Remember that the index of refraction in fibers varies non linearly with radius.
 

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