Light guidance in an optical fibre can be understood by considering a structure comprising of thin solid glass cylinder of refractive index
n1 surrounded by a medium of lower refractive index
n2.
The light guidance in the structure takes place due to successive total internal reflections at the interface of the media
n1 and
n2 as shown in the figure. All rays with the angle of incidence
i less than a particular value
im are confined in the medium of refractive index
n1. The numerical aperture (NA) of the structure is defined as
sinim.
If two structures of same cross-sectional area, but different numerical apertures NA
1 and
NA2(NA2<NA1) are joined longitudinally, the numerical aperture of the combined structure is