Enter the numerical aperture (NA) into the calculator to determine the acceptance angle of an optical fiber. The acceptance angle is the maximum angle at which light can enter the fiber and still be guided.
Acceptance Angle Formula
The following formula is used to calculate the acceptance angle:
θ = arcsin(NA)
Variables:
- θ is the acceptance angle (degrees)
- NA is the numerical aperture of the optical fiber
To calculate the acceptance angle, take the arcsine (inverse sine) of the numerical aperture and convert the result from radians to degrees.
What is an Acceptance Angle?
The acceptance angle is a critical parameter in fiber optics that defines the maximum angle to the fiber axis at which light can be injected into the fiber and still be guided along the core. It is determined by the numerical aperture, which is a measure of the light-gathering ability of the fiber and depends on the refractive indices of the core and cladding materials. The acceptance angle is important for ensuring efficient coupling of light into the fiber and for understanding the fiber’s light propagation characteristics.
How to Calculate Acceptance Angle?
The following steps outline how to calculate the Acceptance Angle.
- First, determine the numerical aperture (NA) of the optical fiber.
- Next, use the formula θ = arcsin(NA) to calculate the acceptance angle in radians.
- Convert the acceptance angle from radians to degrees by multiplying by 180/π.
- Finally, enter the numerical aperture into the calculator to find the acceptance angle in degrees.
Example Problem:
Use the following variable as an example problem to test your knowledge.
Numerical Aperture (NA) = 0.14