(b) Calculate the acceptance angle and the numerical aperture of a given optical fiber,
if the refractive indices of core and cladding are 1.562 and 1.497 respectively. (Ans:
26.48, NA=0.450)
Answers
Given:
The refractive indices of core and cladding are 1.562 and 1.497 respectively.
To find:
Calculate the acceptance angle and the numerical aperture of a given optical fiber.
Solution:
From the given information, we have the data as follows.
The refractive indices of core and cladding are 1.562 and 1.497 respectively.
We are asked to find the value of the acceptance angle and the numerical aperture of a given optical fiber.
The formula for computing the numerical aperture is given as follows.
NA = √ [n₁² - n₂²]
Substitute the values in the above equation.
NA = √ [1.562² - 1.497²]
NA = √0.1988
NA = 0.4459
The formula for computing the acceptance angle is given as follows.
sin Ф = NA
Substitute the values in the above equation.
sin Ф = 0.4459
Ф = sin^-1 0.4459
Ф = 26.48°
Therefore, the value of the acceptance angle and the numerical aperture of a given optical fiber are 26.48° and 0.4459 respectively.