Fourier transform property of lens based on geometrical optics

Suganda Jutamulia; Toshimitsu Asakura

doi:10.1117/12.483195

16 September 2002 Fourier transform property of lens based on geometrical optics

Suganda Jutamulia, Toshimitsu Asakura

Proceedings Volume 4929, Optical Information Processing Technology; (2002) https://doi.org/10.1117/12.483195
Event: Photonics Asia, 2002, Shanghai, China

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.

Citation Download Citation

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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