An actual teaching setup is described in Laboratory Exercise No. 4: Diffraction, MIT 6.237, Fall 2024, for MIT's 6.237 Modern Optics Project Laboratory, Fall 2024. Preparation includes predicting the aperture-size dependence and the distinction between Fraunhofer diffraction and Fresnel diffraction. A helium–neon laser supplies light; the far-field setup uses a planar incident wavefront, a diffracting object and a distant screen, with beam expansion when needed. Figure 1 also marks an optional CCD camera. Exercise 4.7 asks students to sketch the circular-aperture pattern, measure the Airy disk diameter between correctly identified boundaries, and infer the aperture size. No measured values are supplied. As a regime comparison, exercise 4.9 varies the circular opening's position near a microscope objective optical lens, observes near-field patterns and compares them with the far-field case. This tests whether a change in propagation geometry changes the pattern. The coherent illumination measures one aperture's response, rather than the discrimination of two mutually incoherent optical point sources.[ref]
For a quantitative interpretation, let be the aperture-to-screen distance and the first-zero diameter on the screen. In the paraxial approximation, the independent calculation is
For an explicitly hypothetical measurement, and at would imply . The scale is smaller than , but only by a factor of about ; this alone gives limited confidence in a high-precision Fraunhofer diffraction approximation. It is not a reported MIT measurement.
Additional recommended controls are to keep wavelength fixed, record , centre and uniformly illuminate the aperture, and repeat with another . Compare , which should vary inversely with . A camera readout should include blocked-beam background and avoid saturation. A scaled repetition at larger tests residual Fresnel diffraction; nonuniform illumination, optical aberrations, detector sampling and uncertainty in locating a dark ring limit the inferred . The screen pattern's apparent bright edge depends on display brightness and is not a substitute for the first-zero boundary.
Fresnel diffraction 2026-10-14
Fresnel diffraction describes diffraction when the quadratic propagation wave phase across an aperture must be retained. Its Fresnel propagator becomes the Fraunhofer diffraction description when that curvature is negligible.