Numerical Aperture of Optical Fiber

Procedure

Procedure for simulator

Controls

  • Start button: Starts the experiment.
  • Switch on: Turns on the laser.
  • Select Fiber: Selects the type of fiber used.
  • Select Laser: Selects a different laser source.
  • Detector distance (Z): Use the slider to vary the distance between the source and the detector (i.e., toward or away from the fiber).
  • Detector distance(x): Use the slider to change the detector position (i.e., move left or right with respect to the fiber).
  • Show Graph: Displays the graph.
  • Reset: Resets the experimental setup.

Preliminary Adjustment

Drag and drop each apparatus in to the optical table as shown in the figure below.

Figure 4

  • Then Click “Start” button.
  • Switch On (now you can see a spot in the middle of the detector)
  • After that select the Fiber and Laser for performing the experiment from the control options.

To perform the experiment

  • Set the detector distance Z (say 4mm). We referred the distance as “d” in our calculation.  
  • Vary the detector distance X by an order of 0.5mm, using the screw gauge (use up and down arrow on the screw gauge to rotate it).
  • Measure the detector reading from output unit and tabulate it.
  • Plot the graph between X in x-axis and output reading in y-axis. See figure 5.
  • Find the radius of the spot r, which is corresponding to Imax/2.71 (See the figure 5).
Figure 5

Figure 5

  • Then find the numerical aperture of the optic fiber using the equation (4).

Observation column

Figure 6

Calculations

istance between the fiber and the detector, d = …………………………… m
Radius of the spot, r =……………………….. m
Numerical Aperture of the optic fiber, sin(θ)=rr2+d2sin(θ)=\frac{r}{\sqrt{r^{2}+d^{2}}} = .................
Acceptance angle, θ=sin1(rr2+d2)θ={sin^{-1}}\left ( \frac{r}{\sqrt{r^2+d^2}} \right ) = ...............

Result

Numerical aperture of the optic fiber is = …………………
Angle of acceptance = ……………….