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16 September 2002 Fourier transform property of lens based on geometrical optics
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Abstract
Coherent optical information processing is almost entirely based on the Fourier transform property of a lens. A Fourier transform lens is actually an ordinary lens. If the input transparency is placed in the front focal plane of the lens and illuminated with coherent collimated light (planewave), the amplitude function in the back focal plane of the lens will be the Fourier transform of the input transparency as shown in Fig. 1. A 4-f coherent optical processor consists of two lenses as shown in Fig. 2, thus it performs two Fourier transforms successively. The first lens transforms the input function from space domain into frequency domain, and the second lens transforms back the frequency function from frequency domain to the output function in space domain.
© (2002) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Suganda Jutamulia and Toshimitsu Asakura "Fourier transform property of lens based on geometrical optics", Proc. SPIE 4929, Optical Information Processing Technology, (16 September 2002); https://doi.org/10.1117/12.483195
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