Use the following figure below for the next problem. The figure shows a cross- -A fiber optic is made by cladding a thin fiber core of refractive index n₁ = 1.45 with a material of refractive index n₂ = 1.38.The numerical aperture of a fiber optic is defined as NA = n_air sin $\theta$_m,where $\theta$_m is the maximum incident angle so that the light ray is totally internally reflected inside the fiber.The NA for the fiber is A)0.445 B)0.614 C)0.645 D)0.407 E)0.470

Question

Quizplus · Accepted Answer

The numerical aperture (NA) of a fiber optic is given by NA = n_air * sin(theta_m), where theta_m is the maximum incident angle for which light is totally internally reflected inside the fiber. In this case, n_air = 1 (since the fiber is in air), n_1 = 1.45, and n_2 = 1.38. Using Snell's law, we can find that sin(theta_m) = sqrt((n_1^2 - n_2^2) / n_1^2) = 0.445. Therefore, the NA is 0.445.

Use the Following Figure Below for the Next Problem θ\thetaθ m,where θ\thetaθ

Use the Following Figure Below for the Next Problem $\theta$ _m,where $\theta$