2D Fourier Transforms

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration shows an aperture (top) and its 2D Fourier transform (bottom). These can be pictured as an aperture illuminated by plane waves and the diffraction pattern in an optical system with a small Fresnel number. Note how lines of symmetry are shared in the aperture and its Fourier transform and how these are preserved under rotations. Particularly important is the way that the Fourier transform scales with the aperture—if the aperture widens, then the Fourier transform narrows in the same direction, and vice versa. It is instructive to note how the same processes apply analogously when looking at lattices of apertures.

Contributed by: John Holland (March 2011)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.