Figure 2 | Scientific Reports

Figure 2

From: On the superposition principle in interference experiments

Figure 2

Comparison between numerics in Ref. 7 and the analytic approximation. Figure on the left shows as a function of angle (where in degrees) for the photon parameters i.e., slit width = 30, inter- slit distance = 100 and wavelength of incident photon = 810nm. The red dotted line indicates the result of numerical integration where source-slit distance and slit-detector distance = 18.1cm as in7. This corresponds to a Fresnel number of 0.006. The blue line indicates the result of application of the analytic formula in eqn. (14) and the blue dots show the result of numerical integration when the Fresnel number has been adjusted to 0.0002. This implies that in the far field regime, the analytic formula and numerical integration results show perfect overlap. We find that for Fresnel number leads to a discrepancy of at the centre. Figure on the right shows as a function of detector position for the electron parameters13i.e., slit width = 62nm, inter-slit distance = 272 nm, distance between source and slits = 30.5cm and distance between slits and detector =24 cm and de Broglie wavelength of incident electrons = 50 pm.The red dots indicate the result of numerical integration as per7. The blue line indicates the result of application of the analytic formula in eqn. (14). The Fresnel number is 0.0002.

Back to article page