4. Conclusion

This first article established a model, called "Fourier optics", between the physical foundations of diffraction and mathematical concepts used in signal processing. Its construction required starting with the notion of the electromagnetic field and, step by step, legitimate simplifications, depending on the distance from the field of observation, showed that the Fourier transform was an effective tool for interpreting undulatory light phenomena. Finally, two families of experimental set-ups enable Fourier optics to be used: sufficient distance from the field of observation, known as the "far field", and the use of a converging lens, which allows optical devices to be miniaturized.

The end of the paper introduces analog Fourier optics, with classic one-dimensional examples, as well as digital Fourier optics, which are playing an increasingly important role in today's...

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Conclusion

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Glossary

Bibliography

(1) - GOODMAN (W.) - Introduction to Fourier optics. - Editions McGraw-Hill, New York, 2e édition (1996).
(2) - ROIG (J.) - Optique physique. - Masson et Cie, tome 1 (1967).
(3)...

Works

LAUG (M.) – Optical Signal and Image Processing. CEPADUES Éditions (1980).

MARAIS (B.) – Exercices d'optique de Fourier. Dunod Université (1980).

FRANÇON (M.) – Holography. Masson et Cie (1969).

Reviews

Numerous industrial applications in Fourier optics "Photonics https://www.photoniques.com/

Software tools (non-exhaustive list)

Imagej" image processing software https://imagej.nih.gov/ij/

A "Numerical wave propagation" plug-in in Imagej enables simulation of the very near and near-field transformation. An article is dedicated to this plugin: Piedrahita-Quintero P, Castañeda R, Garcia-Sucerquia, Numerical wave propagation in ImageJ,...