The formula to calculate the Acceptance Angle (θ) is:
\[ θ = \arcsin(NA) \]
Where:
Let's say the numerical aperture (NA) is 0.5. Using the formula:
\[ θ = \arcsin(0.5) \approx 30 \]
So, the Acceptance Angle (θ) is approximately 30 degrees.
Definition: The acceptance angle is the maximum angle at which light can enter an optical fiber and still be guided through it.
Formula: \( \theta_a = \sin^{-1} \left( \sqrt{n_1^2 - n_2^2} \right) \)
Example: \( \theta_a = \sin^{-1} \left( \sqrt{1.5^2 - 1.4^2} \right) \)
Definition: The maximum acceptance angle is the largest angle at which light can enter an optical fiber and still be guided.
Formula: \( \theta_{max} = \sin^{-1} \left( \frac{NA}{n_0} \right) \)
Example: \( \theta_{max} = \sin^{-1} \left( \frac{0.5}{1.0} \right) \)
Definition: The acceptance angle is derived from the relationship between the refractive indices of the core and cladding of an optical fiber.
Formula: \( \theta_a = \sin^{-1} \left( \sqrt{n_1^2 - n_2^2} \right) \)
Example: \( \theta_a = \sin^{-1} \left( \sqrt{1.6^2 - 1.3^2} \right) \)
