Find the acceptance angle of a material which has a numerical aperture of 0.707 in air.
Question
Find the acceptance angle of a material which has a numerical aperture of 0.707 in air.
Solution
The acceptance angle (θ) of an optical fiber can be calculated using the numerical aperture (NA). The relationship between them is given by the formula:
θ = arcsin(NA)
where:
- θ is the acceptance angle
- NA is the numerical aperture
Given that the numerical aperture (NA) is 0.707, we can substitute this value into the formula:
θ = arcsin(0.707)
To find the arcsin of a number, you can use a scientific calculator. The result is approximately 45 degrees. Therefore, the acceptance angle of the material is approximately 45 degrees.
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