Question #312035

Define the relative refractive index difference for an optical fiber and show how it

May be related to the numerical aperture. A step index fiber with a large core diameter compared with the wavelength of the transmitted light has an acceptance angle in air of 22° and a relative refractive index difference of 3%. Estimate the numerical aperture and the critical angle at the core–cladding interface for the fiber.



1
Expert's answer
2022-03-15T16:49:42-0400

Δ=1n2n1,\Delta =1-\frac{n_2}{n_1},

n2=0.97n1,n_2=0.97n_1,

n2=1,n_2=1,

n1=1.03,n_1=1.03,

NA=n12n22=0.25,NA=\sqrt{n_1^2-n_2^2}=0.25,

β=arcsinn1sinα=25°.\beta=\arcsin\frac {n_1}{\sin\alpha}=25°.


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