Fraunhofer Diffraction using Single-Slit and Circular Aperture

Step 1: Set the value of the wavelength (λ), angle (θ), and width of the slit (d) using the controls provided in the simulation.

Step 2: Click on either Diffraction Pattern or Intensity Profile to choose the display mode.

Step 3: When clicking on Diffraction Pattern, the pattern appearing on the screen is due to the single-slit aperture, as shown in Fig. 2.

Diffraction pattern due to single slit

Fig. 2 — Diffraction Pattern due to Single-Slit Aperture

Step 4: If Intensity Profile is clicked, the pattern observed is as shown in Fig. 3. When k is set to 1, it will display two intensity profiles (one on each side of the central maximum).

Intensity profile due to single slit

Fig. 3 — Intensity Profile due to Single-Slit Aperture

Step 5: Change the wavelength (λ) and the slit width (d) to observe different pattern formations. This provides an understanding of how the pattern varies with these parameters.

Step 6: Take 5–10 readings for different parameter values and record them in Table 1 and Table 2 below.


Table 1: Slit Width vs. Order of Minima

Fixed: Wavelength λ = 600 nm
Formula: d sinθ = kλ  ⟹  θ = arcsin(kλ / d)

S.No. Slit Width d (nm) sin θ Angle of Minimum θ (degrees) Calculated λ (nm)
1 1000 0.60 36.870 600
2 1500 0.40 23.578 600
3 1500 0.80 53.130 600
4 2000 0.30 17.458 600
5 2000 0.60 36.870 600
6 3000 0.20 11.537 600
7 3000 0.40 23.578 600
8 4000 0.15 8.627 600
9 4000 0.30 17.458 600
10 5000 0.12 6.892 600

Table 2: Angle of Observation vs. Relative Intensity

Fixed: Slit width d = 1000 nm, Wavelength λ = 600 nm
Formula: I/I₀ = (sinα / α)², where α = πd sinθ / λ

S.No. Angle θ (degrees) α = πd sinθ/λ (rad) Relative Intensity I/I₀ Remarks
1 0.00 0.000 1.000 Central maximum
2 5.00 0.456 0.934
3 10.00 0.909 0.754
4 15.00 1.356 0.520
5 20.00 1.792 0.297
6 25.00 2.213 0.131
7 30.00 2.618 0.037
8 35.00 3.002 0.002
9 36.87 3.142 0.000 1st minimum (k = 1)
10 40.00 3.366 0.004