Acceptance Angle Calculator

Calculate Acceptance Angle (θ)

Formula

The formula to calculate the Acceptance Angle (θ) is:

\[ θ = \arcsin(NA) \]

Where:

Definition

Example

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.

Extended information about "Acceptance-Angle-Calculator"

Formula for Acceptance Angle

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: \( \theta_a = \sin^{-1} \left( \sqrt{1.5^2 - 1.4^2} \right) \)

Maximum Acceptance Angle Formula

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: \( \theta_{max} = \sin^{-1} \left( \frac{0.5}{1.0} \right) \)

Derivation of Acceptance Angle

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: \( \theta_a = \sin^{-1} \left( \sqrt{1.6^2 - 1.3^2} \right) \)